Answer:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r- radiusSubstitute the given values to get the equation of this circle:
(x - (-5))² + (y - (-9))² = 7² ⇒(x + 5)² + (y + 9)² = 49Answer:
Solution given:
Centre(h,k)=(-5,-9)
radius (r)=7
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
Substituting value;
(x+5)²+(y+9)²=7²
(x+5)²+(y-9)²=49 is a required equation of a circle.
Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?
A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. Trapezoid E F G H has coordinates E negative 5 comma negative 1, F negative 4 comma negative 3, G negative 2 comma negative 3, and H negative 1 comma negative 1.
Rotation of 180° about the origin, translation 6 units left
Reflection across the y-axis, translation 6 units left
Reflection across the x-axis, translation 6 units left
Translation 6 units left, reflection across the y-axis
Answer:it is c
Step-by-step explanation:
The sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
What is reflection?A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.
According to the question
Quadrilateral ABCD
A(1,1) , B(2,3) , C(4,3) , D(5,1)
Quadrilateral EFGH
E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)
As we can that
Quadrilateral ABCD and EFGH have opposite sign coordinates
i.e Reflection across the x-axis,
and difference between x axis of Quadrilateral ABCD and EFGH is 6
|-5 - 1 | = 6 ( as distance is always +ve)
therefore,
translation 6 units left
Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left
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How many variable terms are in the expression 3x3y 5x2 Y 9?
The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.
The expression provided is
3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9
In the expression, each variable is represented by a letter.
Let's look at the variables for each term.
The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.
The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .
Y is the variable in the third term.
There is no variable in term 9's final equation.
The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.
As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.
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Explain how you decided to divide your wholes into fractional parts and how you decided where your number scale should begin and end. Due 1-2-23
On solving the provided question, we can say that - on doing the fraction we have [tex]\frac{1}{10} ; \frac{1}{100} ; \frac{1}{10000}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here we have,
0.1 = 1/10
0.01 = 1/100
0.0001 = 1/10000
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What is the equation of the line that passes through the coordinates (-2, 11) and (1, -34)?
Answer:
y = 15x - 19
Step-by-step explanation:
In order to pass through both (-2, 11) and (1, -34), then the equation must be y = 15x - 19. Hope this helps!
This is chemistry, but I asked two times when I picked chemistry as the subject, yet no one answered, so I am doing mathematics because this does include math.
Show ALL your WORK and make sure to LABLE all the numbers with the CORRECT UNITS; if you do, I will give you the brainliest:
A: A sample of sulfuric acid has a mass of 15.0 g. How many molecules are in this sample?
B: How many moles of sulfuric acid are present in 45 g of this sample?
C: How much would a .750 mole sample of Ammonium sulfate weigh?
D: What is the mass percent of hydrogen in this sample?
PS: Please do not spam or give the wrong answer; I will report the comment, the "answer', and your account if you do.
PLS HELP 30 POINTS+BRAINLIEST!!
The __________ is the layer of the atmosphere nearest to Earth's surface.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ contains the highest concentration of ozone.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ protects the earth from meteoroids.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ layer is the coldest layer in the atmosphere.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
Most weather occurs in the _________.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ the atmospheric layer farthest from Earth.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
On your fifteenth birthday you discover you have a rich aunt sally aunt sally is a very generous women and wants to provide for your future she has decided that she will initially give you $1 then $2 the next year and so on doubling the amount each year until your 30. After 15 years how much money will aunt sally pay you for your birthday ?
Answer:
I have an image attached and a table how I solved it.
Find the percent decrease.
Last year I sent out 120 invitations to a summer party
and this year I only sent out 90 invitations.
Answer:
120=100%
90=x
x=100%×90/120
x=75%
%decrease=100%-75%=25%
Write an equation in slope-intercept form for the line that passes through the given
point and is perpendicular to the graph of the equation.
24. (−5, 2), y = ¹⁄2x − 3
Please explain how to get the answer too.
Answer:
Step-by-step explanation:
perp. -2
y - 2 = -2(x + 5)
y - 2 = -2x - 10
y = -2x - 8
A diameter of a circle has endpoints at (3, -8) and (-5, -2). Find the radius of the circle.
Answer: r = 5
Step-by-step explanation:
Using Pythagoras we can find the length of the diameter
d^2 = (3 - -5)^2 + (-8 - -2)^2
= 8^2 + (-6)^2
= 64 + 36
= 100
This means d = 10 and r = 5
A circle is centered on point b . Points a,c, and d lie on its circumference . If adc measure 61 then what does abc measure.
Answer:
[tex]\angle ABC = 122^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle ADC = 61^\circ[/tex]
See attachment for circle
Required
Find [tex]\angle ABC[/tex]
From the attachment, we can see that:
[tex]\angle ADC[/tex] is at the circumference
[tex]\angle ABC\\[/tex] is in at the center
From cyclic theorems,
The relationship between ABC and ADC is:
[tex]\angle ADC = \frac{1}{2} * \angle ABC[/tex]
Make ABC the subject
[tex]\angle ABC = 2 * \angle ADC[/tex]
Substitute: [tex]\angle ADC = 61^\circ[/tex]
[tex]\angle ABC = 2 * 61^\circ[/tex]
[tex]\angle ABC = 122^\circ[/tex]
what is the slope?
if possible can you explain?
Answer:
[tex]m = \frac{4}{5} [/tex]
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
Does 4 8 and 12 make a triangle?
No, 4, 8, and 12 are not valid side lengths for a triangle. So 4, 8 and 12 does not make a triangle.
In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
If a triangle has sides of length 4, 8, and 12, then the triangle inequality theorem would be:
8 + 12 > 4 (true, as 8+12 =20)
12 + 4 > 8 (true, as 4+12=16)
4 + 8 > 12 (false, as 4+8 =12)
Since 4 + 8 = 12, and 12 is not greater than 4 or 8, a triangle cannot be formed with sides of length 4, 8, and 12.
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2) Which equation has the same y-intercept as the graph on the right?
a. f(x) = -2% -2
b. f(x) = (*)*-?
6. f(x) = (a)*+
d. f(x) = 2*-2
Answer:
I'm so sorry if I'm wrong but in my opinion I think the answer is C you don't have to choose it
10 = z+6
show work pls
I need helpp
Answer:
10=z+6
10-6=z
4=z
therefore
z=4
how do i answer this q
Answer: -1/4
Step-by-step explanation:
Rate of change is just another term for slope. To calculate slope, we just need any 2 points on the graph and apply the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-2}{4-0} =\frac{-1}{4} =-\frac{1}{4}[/tex]
This means -1/4 is the rate of change.
Find the volume of a given solid
object where the radius of base
is 7 cm and height is 12 cm.
Note: Consider the solid object is a cylinder because the radius of base and height of the solid is given.
Given:
Radius of base = 7 cm
Height = 12 cm
To find:
The volume of the given solid.
Solution:
The volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius of the base and h is the height of the cylinder.
Putting [tex]r=7,h=12,\pi=\dfrac{22}{7}[/tex] in the above formula, we get
[tex]V=\dfrac{22}{7}\times(7)^2\times (12)[/tex]
[tex]V=22\times 7\times 12[/tex]
[tex]V=1848[/tex]
Therefore, the volume of the given solid is 1848 sq. cm.
Omar rides the train and ferry to visit his uncle the train ticket cost $42. The train ticket cost 7 times as much as the ferry tickets. How much does the ferry tickets cost
Answer:
6
Step-by-step explanation:
Please can someone help me with this circle theorem question and explain which rule would apply as I can’t seem to find which one I should be using please? :)
Answer:
∠LOP = 96°
Step-by-step explanation:
Given an inscribed angle of 48°, you want to know the measure of the central angle that subtends the same arc.
Inscribed angleThe measure of an inscribed angle is half the measure of the arc it subtends.
∠LMP = 1/2(arc LP)
48° = 1/2(arc LP) . . . . . . use the given value
96° = arc LP . . . . . . . . . multiply by 2
Central angleThe measure of an arc of a circle is the same as the measure of the central angle it subtends: the arc measure and its central angle measure are identical.
arc LP = ∠LOP
96° = ∠LOP
__
Additional comment
That's a long way of saying the central angle is twice the inscribed angle that subtends the same arc. ∠LOP = 2×∠LMP.
please help me i have a 33 in algebra rn
Can someone help me with this?
9514 1404 393
Answer:
see below
Step-by-step explanation:
The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.
The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Step-by-step explanation:
50, 48, and 14Hope that helps! :)
-Aphrodite
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
1) b 2) b
Step-by-step explanation:
1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).
2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x
Question 1
Answer: Choice B. (x+6)(5ab-4)---------------------
Explanation:
Note how we have (x+6) show up twice. What we can do is erase both copies to end up with 5ab-4. Then stick parenthesis around that to get (5ab-4). Effectively what is going on here is that we're pulling out the GCF (x+6).
Lastly, tack on the (x+6) we erased earlier to get the factorization of (5ab-4)(x+6). Because multiplication can be done in any order, this means it's the same as (x + 6)(5ab - 4)
We can use the distribution method, the box method, or FOIL to expand that factorization back out and help confirm we have the correct answer.
===========================================================
Question 2
Answer: Choice B. (4b - 7x)(a + 2)---------------------
Explanation:
We'll use the factor by grouping method.
Pair up the terms, then factor each grouping pair. From there, you'll follow the ideas mentioned in problem 1 to finish things off.
This is what the steps could look like:
4ab - 7ax + 8b - 14x
(4ab - 7ax) + (8b - 14x) ... pair up terms
a(4b - 7x) + 2(4b - 7x) ... factor out GCF from each group
(a + 2)(4b - 7x) ... use the trick done in problem 1
(4b - 7x)(a + 2) .... the order of multiplication doesn't matter
You can use the distribution method, FOIL method, or box method to help confirm the answer.
What is 42a - 16 ?????
Answer:
2 (21a−8)
Step-by-step explanation:
Answer:
2(21a - 8)
Step-by-step explanation:
42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)
29. Jamie spent $56 for blue blouse. A red blouse cost two-thirds of this price. What was the cost of the red blouse? PLEASE HELP ME WITH THIS QUESTION MY MATH TEACHER WILL BE VERY UPSET PLEASEEE!!!
The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.
The percentage increase in the number of dragons in Westeros rose = 15%
The total number of dragons in Westeros rose in previous year = 300
So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.
So, finding the value of 15% of 300
As we know, for removing the percentage sign we will divide the given number by 100
So, the value of 15% of 100 = (15/100)*300 = 45
So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345
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The correct question may be like:
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?
The KOT club has 5 pledges. They will send at least 2 and no more than 4 pledges to work at Goodwill on Helping-Out Day. In how many ways can this be done?
Answer:
The KOT club has 5 pledges and can send between 2 and 4 pledges to work at Goodwill on Helping-Out Day. This can be done in 10 different ways
Step-by-step explanation:
A triangle has sides with lengths of 33 kilometers, 90 kilometers, and 97 kilometers. Is it a right triangle?
URGENT!! 60 POINTS!!!!! Based on the linear table of ordered pairs, what is the y intercept?
Answer:
The y-intercept is (0, 8)-----------------------------------
According the the table the slope is:
m = (12 - 4)/(1 - (-1)) = 8/2 = 4Use slope-intercept form:
y = mx + b, where b is the y-interceptAnd substitute one of the ordered pairs, to find the value of b:
4 = 4(-1) + b4 = - 4 + bb = 4 + 4b = 8The y-intercept is (0, 8).
Vitamin C comes in pills with a strength of 500 mg. How many pills would you need to take if you want a dosage of two grams?
Answer:
4 pills
1
Step-by-step explanation: