Answer:
(2,-2)
Step-by-step explanation:
Question 5 of 10
This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
5+ 10.
O A ²+²=10
OB. +²2=100
O c. x10+10=100
O D. x+y=10
The equation of circle is [tex]x^2+y^2=100[/tex]
The standard equation of a circle with center (h, k) and radius r is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ........(1)
This is the equation needed for the circle with a center at A(h, k) and a radius equal to r since it describes the relationship between the coordinates of any point on the circumference.
Now according to the question, it is given that the circle has the center at origin and length of its radius is 10.
Center = (h, k)=(0, 0)
Radius(r) = 10 units
Now, substituting the given values in (1) we get;
⇒[tex]x^2+y^2=100[/tex]
Therefore, the equation of circle centered at origin with radius 10 is [tex]x^2+y^2=100[/tex]
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Please help, been stuck on this for far too long and due in tmrw!
From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.
From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.
From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.
Given that,
In the picture we have a graph with 3 rectangles that is F, G, and H.
We have to find the translation of the rectangles.
We know that,
What is translation?The transformation, i.e., f: X X, is a function, f, that maps to itself. Following the transformation, the pre-image X changes into the image X. Any operation, including translation, rotation, reflection, and dilation, may be used to create this transformation. A function can be moved in one direction or another by translation, rotated around a point by rotation, reflected in its mirror image by reflection, and scaled by dilation.
So,
From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.
From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.
From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.
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Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert
any given distance in miles (m) to kilometers (k).
How should Abby write her equation?
Abby should write her equation as k = 1.61m.
The correct option is B.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Given:
Abby knows that 1 mile is about 1.61 kilometers.
To write an equation, which she can use to convert any given distance in miles (m) to kilometers (k):
Let m be the total number of miles and k be the kilometers.
So, the equation is,
k = 1.61m
Where 1.61 is multiplied by m.
Therefore, the equation is k = 1.61m.
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The sum of two numbers is 4. Three times the larger number plus two times the smaller number is 26. Find the numbers.
The larger number is and the smaller number is
The larger integer number is 18 and the smaller integer number is -14.
Integers are the subset of Rational numbers which contains all numbers except fraction and decimals
Numbers are the building blocks of mathematics. Numbers are used to count ,measure or label quantities.
The different types of numbers are:
Real numbers: 89.26 , -847 , 4/5irrational numbers √2 ,√3 imaginary numbers (5 + 9i) Integers -89 , 65 , 45Let the smaller number be x. The sum of the numbers is 4 .
So the larger number is 4 - x
Again given that sum of three times the larger number and 2 times the smaller number is 26.
∴3 ( 4-x )+ 2x = 26
or, 12 -3x +2 x = 26
or, -x = 26-12
or, x = -14
Therefore the larger number is 4-(-14)= 18
Hence the larger integer number is 18 and the smaller number is -14 .
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To get to 1, divide 60 by
From 1, multiply by
OR, in a single step, multiply 60 by
to get to 25.
to get to 25. Submit Answer
To get to 1 we have to divide 60 by 60, and to get 25 we have to multiply 60 with 5/12 or 0.41.
Given that we have to get 1 by dividing 60 by something and multiply 60 by something to get 25.
We are required to find those numbers.
Take first result:
Suppose the number which divides 60 be x.
So,
60/x=1
x=60
Number will be 60.
Take second result:
Suppose the number which multiplied with 60 to get 25 be y.
So,
60*y=25
y=25/60
y=0.41
Number will be 0.41.
Hence to get to 1 we have to divide 60 by 60, and to get 25 we have to multiply 60 with 5/12 or 0.41.
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You have 8 times as many dimes as nickles. You have 18 dimes and nickles altogether. How much money do you have in all?
Answer:
$1
Step-by-step explanation:
If you have x dimes, you have 8x nickels.
So, this means x + 8x = 18.
9x = 18 (combine like terms)x = 2 (divide both sides by 2)This means you have 2 dimes and 16 nickels, which have a combined value of 2(0.10)+16(0.05)=$1.
By rounding to 1 significant figure, estimate the answers to these questions: 476 × 2354
answer:
1,120,504
Step-by-step explanation:
I don't really have one but I'm sure
Answer the following questions
WILL GIVE BRAINLIEST
here are four lengths of wood
Points S, T, and P lie on a number line. Their coordinates
are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
The value of x associated with the point P on a number line is 0.5.
How to find the locations of a point on a number line
In accordance with the statement, the condition SP = PT means that the locations of points S, T and P on the number line are 0, 1, x, so that S < P < T and that point P is equidistant of points S and T. Then, the location of the missing point is determined by the midpoint formula:
P = 0.5 · S + 0.5 · T
P = 0.5 · 0 + 0.5 · 1
P = x = 0.5
The value of x associated with the point P on a number line is 0.5.
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Electric utility poles in the form of right cylinders are made out of wood that costs $13.72 per cubic foot. Calculate the cost of a utility pole with a radius of 0.75 ft and a height of 40 ft. Round your answer to the nearest cent.
Answer:
So what you have to do is go back to you lesson and read till you find an answer just like this one and read how to do it when u do that go back and to the quick check and find an answer that is similar. the reason why I'm telling you this is cause I cant calculate it right. or what you can do is calculate it right on here.
Step-by-step explanation:
https://www.inchcalculator.com/cubic-footage-calculator/
To make a sand sculpture Arthur used 2 cm³ of red sand with a density of 4 g/cm³ 7 cm³ of yellow sand with a density of 5 g centimeter and 5 cm³ of brown sand with a density of 6 g cubiccm³ what is the average density of the sculpture in grams per cubic centimeter express your answer as decimal to the nearest 10th.
Answer:
5.2 g/cm³
Step-by-step explanation:
Given a sculpture consisting of 2 cm³ at 4 g/cm³, 7 cm³ at 5 g/cm³, and 5 cm³ at 6 g/cm³, you want its average density.
MassThe total mass of the sculpture is the sum of the masses of the components. Each of those is the product of its volume and density.
red sand: (2 cm³)(4 g/cm³) = 8 g
yellow sand: (7 cm³)(5 g/cm³) = 35 g
brown sand: (5 cm³)(6 g/cm³) = 30 g
The total mass of the sculpture is ...
total mass = 8 g + 35 g + 30 g = 73 g
VolumeThe total volume of the sculpture is the sum of the volumes of its parts:
total volume = 2 cm³ +7 cm³ +5 cm³ = 14 cm³
Average densityThe density is the ratio of mass to volume:
ρ = (total mass)/(total volume) = (73 g)/(14 cm³) = 73/14 g/cm³
= 5 3/14 g/cm³ ≈ 5.2 g/cm³
The average density of the sculpture is about 5.2 g/cm³.
the ice rink sold 95 tickets for a total of 828.00. general admission tickets are $10.00 each and youth tickets are $8.00 each. how many of each did they sell
Answer:
GA =34
Y = 61
Step-by-step explanation:
GA= GENERAL ADMISSION =$10
Y= YOUTH =$8
GA+Y= 95
GA=95-Y
10GA+8Y=828
10(95-Y)+8Y=828
950-10Y+8Y=828
-2Y= 122 MULTIPLY BY (-1)
2Y= 122
Y= 61
GA= 34
There were 61 youth tickets sold and 34 general admission tickets
Multiple Choice
11) The intersection of 2 line segments can be
I.
a point
II. a line segment
a ray
IV.
a line
III.
A. I only
C. I and IV
12) The intersection of 2 distinct rays can be
I. a point
II. a line segment
III. a ray
IV. a line
A. I only
C. I, II and III
B. I and II
D. all of the above
I. a point
III. a ray
13) The intersection of 2 distinct lines can be
II. a line segment
IV. a line
A. I only
C. I, III and IV
B. IV only
D. all of the above
B. IV only
D. all of the above
Step-by-step explanation:
[tex](3 \sqrt{3 - 2 \sqrt{2)(3 \sqrt{3 - 2 \sqrt{2)} } } } [/tex]
6c3c² +d³ for c = 5 and d = 3
Answer:
6(5)3(5)² + (3)³
Step-by-step explanation:
Put this into your calculator just like this
(3x-3)
(4y+4)°/60°
Solve for x and y. Explain.
The value of x and y is y=29, X=21.
180-60=120
4y+4=120 get y by itself and remember that what ever you do to one side you do to the other.
Alternate interior angles are congruent so 3x-3=60
What is an angle ?
Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.
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You decide you need a new computer. The cost of the computer is $864. However, the store also offers a rent to own option which will cost $41 per week for 24 weeksHow much more will the rent to own option cost after you have made all of the payments?
Answer:
120
Step-by-step explanation:
the difference = 24×41-864=120
The numbers of students in the 8 schools in a district are given below.
(Note that these are already ordered from least to greatest.)
185, 235, 255, 266, 269, 303, 370, 381
Send data to calculator
Suppose that the number 381 from this list changes to 237. Answer the following.
(a) What happens to the median?
(b) What happens to the mean?
O It decreases by 0
O It increases by 0
O It stays the same.
O It decreases by 0
O It increases by 0
O It stays the same.
Part (a)
The middle values were nitially 266 and 269, but now they are 255 and 266. Thus, the median changes from 267.5 to 260.5, meaning it decreases by 7.
Part (b)
The sum before the change is 2264, but after, it is 2120. This means the sum decreased by 144, and thus the mean decreased by 16.
Please help me with 1-4. I will give an Brainly and a bunch of extra points.
Answer: 1. {a, b, c, d, e}
2. {a, b, d}
3. {c, f, g, h}
4. {a, c}
Step-by-step explanation:
1. AUC ==> Means take all parameters from A and C.
A+C=
{a, b, c, d}+{a, e}={a, b, c, d, e}
2. B∩A ==> Means take the common parameters from B and A
B: {b, e, a, d}
A: {a, b, c, d}
Both B and A have a, b, and d.
So answer is {a, b, d}.
3. B' is every parameter that isn't in B
Reminder: B={b, e, a, d}.
All parameters: {a, b, c, d, e, f, g, h}
Remaining Parameters(B'): {c, f, g, h}
4. A-B∩C'
First, let's find C'.
C' is every parameter that isn't in C.
Reminder: C={a, e}
All parameters: {a, b, c, d, e, f, g, h}
Remaining Parameters(C'): {b, c, d, f, g, h}
Then lets find B∩C'
B: {b, e, a, d}
C': {b, c, d, f, g, h}
Both B and C' have b and d, so B∩C' is {b, d}
A-{b, d}=
{a, b, c, d}-{b, d}={a, c} ==> Answer for 4
Answer:
[tex]\sf 1) \quad \sf A \cup C = \{a, b, c, d, e\}[/tex]
[tex]\sf 2) \quad B \cap A = \{a, b, d\}[/tex]
[tex]\sf 3) \quad B' = \{c, f, g, h \}[/tex]
[tex]\sf 4) \quad A -(B \cap C') = \{a, c \}[/tex]
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
U = {a, b, c, d, e, f, g, h}A = {a, b, c, d}B = {b, e, a, d}C = {a, e}Therefore:
Universal set = {a, b, c, d, e, f, g, h}B' = not in B = {c, f, g, h}C' = not in C = {b, c, d, f, g, h}Question 1
[tex]\begin{aligned}\sf A \cup C & = \sf \{a, b, c, d\} \cup \{a,e\}\\& = \sf \{a, b, c, d, e\}\end{aligned}[/tex]
Question 2
[tex]\begin{aligned}\sf B \cap A & = \sf \{b, e, a, d\} \cap \{a, b, c, d\}\\& = \sf \{a, b, d\}\end{aligned}[/tex]
Question 3
[tex]\begin{aligned}\sf B' & = \rm U - \sf B\\& = \sf \{a, b, c, d, e, f, g, h \}-\{b, e, a, d\}\\& = \sf \{c, f, g, h \}\end{aligned}[/tex]
Question 4
[tex]\begin{aligned}\sf A -(B \cap C') & = \sf \{a, b, c, d \}- \left( \{b, e, a, d \} \cap \{b, c, d, f, g, h \} \right)\\& = \sf \{a, b, c, d \}- \{b, d \} \\& = \sf \{a, c \}\end{aligned}[/tex]
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Find the slope-intercept form of the line through (−1,3) and (7,−8)
Answer:
[tex]\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + bHere, m is the slope and b is the y-intercept.
( -1, 3) ; x₁ = -1 & y₁ = 3
(7, -8) ; x₂ = 7 & y₂ = -8
Slope can be obtained by the formula:
[tex]\sf \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf =\dfrac{-8-3}{7-[-1]}\\\\\\=\dfrac{-8-3}{7+1}\\\\\\=\dfrac{-11}{8}[/tex]
Now, we can find the y-intercept,
[tex]\sf y = \dfrac{-11}{8}x + b\\\\Substitute \ any \ one \ of \ the \ point \ in \ the \ above \ equation.\\\\\text{Here, we are substituting (-1 ,3)}\\\\3 = \dfrac{-11}{8}*(-1) + b\\\\3 = \dfrac{11}{8}+b\\\\b = 3 - \dfrac{11}{8}\\\\b = \dfrac{3*8}{1*8}-\dfrac{11}{8}\\\\b= \dfrac{24-11}{8}\\\\b= \dfrac{13}{8}[/tex]
Slope-intercept form:
[tex]\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}[/tex]
After an accident, police can use the formula v=2/5L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L in feet. Estimate the speed of a car that left skid marks 69 ft long. If the posted speed limit is 35 mi/h, was the car speeding?
Answer: The car was not speeding. It went 27.6 mi/h.
Step-by-step explanation: The equation v=2/5L is given where v is measured in mi/h. L is measured in ft. Since we have the value 69 for L, we sub it into the equation. We end up getting 27.6 mi/h after evaluating.
A sequence starting with 0 but each number is two times three less than the previous number
The sequence starting with 0 but each number is two times three less than the previous number is as follows:
0, -6, -12, -18, -22
How to find sequence?A sequence is defined as an arrangement of numbers in a particular order.
The most common sequence are the arithmetic and the geometric sequence.
The sequence starts with 0 but each number is two times three less than the previous number.
This means the first term of the sequence is 3.
Hence,
2 times 3 less than the previous number means:
Aₙ = Aₙ₋₁ - 2(3)
where,
n = number of termsLet's use the formula to find the other numbers in the sequence,
A₂ = A₂₋₁ - 2(3) = 0 - 6 = -6
A₃ = A₃₋₁ - 2(3) = -6 - 6 = -12
A₄ = A₄₋₁ - 2(3) = -12 - 6 = - 18
A₅ = A₅₋₁ - 2(3) = -18 - 6 = - 22
Therefore, the sequence starting with 0 but each number is two times three less than the previous number is as follows:
0, -6, -12, -18, -22
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What inequality represents all the values of x for y <
-5(x - 8) - 2 when y = 7?
Answer:
(−∞, 31/5) or x <31/5 (the graph will start a little bit past 6 and will be a open circle and head to the left)
Answer:
x< 6[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
7<-5(x -8) - 2 Distribute the 5
7<-5x + 40 - 2
7<-5x +38 Subtract 38 from both sides
-31<-5x Divide both sides by -5
[tex]\frac{31}{5}[/tex] >x When you divide both sides by a negative number, you must flip the sign.
or
x < 6 [tex]\frac{1}{5}[/tex]
Hector earns $12 an hour plus a daily per diem of $15. This week he worked 4 days and earned a total of $444. Write an equation to find how many hours Hector worked this week.
The number of hours Hector worked this week is 32 hours.
Equation to find how many hours Hector worked this week.Amount Hector earned per hour = $12Additional amount earned daily = $15Number of days Hector worked this week = 4 Total amount Hector earned = $444Number of hours worked = x444 = 15(4) + 12(x)
open parenthesis444 = 60 + 12x
substract 60 from both sides444 - 60 = 12x
384 = 12x
divide both sides by 12x = 384/12
x = 32 hours
check:
444 = 60 + 12x
444 = 60 + 12(32)
444 = 60 + 384
444 = 444
Therefore, the number of hours Hector worked this week is 32 hours.
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XZ is the perpendicular bisector of segment WY. WY = 64. Solve for k. Enter a NUMBER only.
2(6k+2)=64
12k+4=64
12k=60
k=5
If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF
The measure of segment DF from the given question is 21
Addition postulateIn line geometry, a line is the distance between two points while an angle is the point where two lines intersect.
Given the following parameters
DE = 4x + 10, EF = 2x-1, and DF = 9x-15,
Required
DF
Using the addition postulate
DE + EF = DF
Substitute
4x+10 + 2x -1= 9x - 15
6x + 11 = 9x - 1
6x - 9x = -1 - 1
-3x = -12
x = 12/3
x = 4
For DF
DF = 9(4) - 15
DF = 21
Hence the measure of segment DF from the given question is 21
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what are all values of x such that 1-2/3x<=-3 is satisfied
The possible values of x will belong to the set A = [9, ∞).
We have the following inequality -
1 - 2x/3 ≤ -3
We have to determine all values of x.
What is Inequality ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
According to the question, we have the following inequality -
1 - 2x/3 ≤ -3
Subtract 1 from both sides -
-2x/3 ≤ -4
Multiply by -1 on both sides -
2x/3 ≥ 4
Multiply by 3/2 on both sides -
x ≥ 9
Hence, the possible values of x will belong to the set A = [9, ∞).
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Two ships A and B take off at the same time from the same spot at a harbour. Ship A travels west with a speed of 40 km/h, while ship B travels north at a speed of 50 km/h. Determine, to the nearest integer, how fast the distance between the ships is increasing when they are 0.5 hours away from the harbour. Use the units as given in the question but write down only the numerical value of your answer without the unit.
Using the Pythagorean Theorem and implicit differentiation, it is found that the distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, we have that since the ships are moving west and north, the distance between them as a function of the time will be given by the hypotenuse of a right triangle, as follows:
d² = x² + y².
In which;
x is the position of Ship A(moving horizontally).y is the position of Ship B(moving vertically).Applying implicit differentiation, the rate of change of the position is given as follows:
[tex]2\frac{dd}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
[tex]\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]
From the velocities, we have that:
[tex]\frac{dx}{dt} = 40, \frac{dy}{dt} = 50[/tex]
From the velocities, and the time of half an hour, the positions are given as follows:
x = 0.5 x 40 = 20, y = 0.5 x 50 = 25.
Hence:
[tex]\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]
[tex]\frac{dd}{dt} = 20(40) + 25(50)[/tex]
dd/dt = 2050.
The distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.
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PLS HELP ASAP
(50 POINTS)
3. Do the functions below show a direct linear variation or not? Explain why or why not.
You may want to use a graphing calculator, like Desmos, to look at the shapes these equations make.
Using proportional relationships, we have that:
A. The function does not show a direct linear relationship.
B. The function shows a direct linear relationship.
C. The function does not show a direct linear relationship.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as follows:
y = kx
In the case of an inverse relationship, we have that:
y = k/x.
From the format of these equations, we have that:
Item a shows an inverse relation, as x is in the denominator.Item b shows a direct relation, as x is in the numerator.A function is classified as linear if the exponent of x is of 1, hence item c does not show a linear function.
What is the missing information?The functions A, B, C are missing, and are given as follows.
A. 9/x.
B. x/11.
C. x²/8.
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Square root 3 x square root 2 x square root 5
Answer:
=sqrt of 30
Step-by-step explanation:
=sqrt of 3×2×5
=sqrt 30