Answer:
17 units
Step-by-step explanation:
Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
The trail starts at P(−2, 2) and goes to Q(5, 2).
Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]
[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units
It goes from Q to R(5, −5)
Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]
[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units
It goes from R to S.
Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]
[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units
[tex]PQ+QR+RS=7+7+3=17[/tex] units
On a farm 14 goats are male, and 11 of them are female goats. What percentage of these goats are male
Answer:
14/0.25=56% of goats are male
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Add the number of female and male goats (25), then divide the number of male goats (14) by 25 and you get 56%
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
O A. y= -0.927x + 13.634
O B. y= -13.634x+ 0.927
O c. y= 13.634x – 0.927
O D. y = 0.927x – 13.634
Answer:
Option A
Step-by-step explanation:
By using regression line calculator,
From the data given,
Equation of the line line of best fit will be,
y = -0.92744x + 13.63407
We have to calculate the equation with slope and y-intercept of the line to three decimal places.
Therefore, equation will be,
y = -0.927x + 13.634
Option (A) will be the correct option.
Enter the mixed number as a decimal to four decimal places. 9 1 30 = ...
Answer:
9.0333
Step-by-step explanation:
Given the mixed number:
[tex]9\dfrac{1}{30}[/tex]
To find:
The number to four decimal places.
Solution:
First of all, let us learn the method converting the mixed fraction number to a fractional number.
If a mixed fraction is of the form:
[tex]a\dfrac{b}{c}[/tex]
Then first, we will multiply [tex]a[/tex] with [tex]c[/tex] and then add [tex]b[/tex] to get the numerator of the simple fraction.
Denominator will be the same i.e. [tex]c[/tex].
Therefore
[tex]9\dfrac{1}{30}[/tex]
can be written as:
Numerator = [tex]9\times 30 + 1[/tex] = 271
Denominator will be the same i.e. 30
Simple fraction equivalent will be:
[tex]\dfrac{271}{30}[/tex]
And up to, 4 decimal points, the number can be written as:
9.0333
A baseball team's total wins and losses for one season is 162. The number of wins is 6 less than 2 times the number of losses. Which system of equations best represents the relationship between the number of wins and the number of losses
Answer:
x + y = 162 and x = 2y - 6
Step-by-step explanation:
Let the total wins be x
Let the total loss be y
If a baseball team's total wins and losses for one season is 162, this can be expressed as;
x + y = 162 ....... 1
If the number of wins is 6 less than 2 times the number of losses, this is expressed as;
2 times the number of losses = 2y
6 less than 2 times the number of losses = 2y - 6
Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;
x = 2y - 6 .... 2
Hence the required system of equation are;
x + y = 162 and x = 2y - 6
-16>-f , if f =15 true or false
Answer:
false 15 is a positive number
Answer quick please I really need help with this
Answer:
angle CPB is your right answer
Please answer will give brainliest. The Sanchez family is traveling from Los Angeles to San Francisco, with a stop in
Santa Barbara on the way north. If the distance from Los Angeles to San
Francisco is 381 miles, and the distance from Los Angeles to Santa Barbara is 95
miles, how many miles is it from Santa Barbara to San Francisco?
What is the slope of a line through (3,6) and (4,2)
Answer:
[tex]m=-4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 6)
Point (4, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{2-6}{4-3}[/tex]Subtract: [tex]m=\frac{-4}{1}[/tex]Divide: [tex]m=-4[/tex]True or False?
A triangle can have side length of 3, 2, and 4.
O True
False
Answer: True
True because not all sides have to be equal in any shape except a square.
Answer:
True
Step-by-step explanation:
Use the triangle inequality theorem, which states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
Test out the theorem by adding together the side lengths:
3 + 2 > 4
4 + 2 > 3
4 + 3 > 2
Since all of these are greater than the other side length, this statement is true.
Given DFG, mD=48° mF=75°, FG= 20 Find DF,DG
Answer:
DF=22.57
DG=26
Step-by-step explanation:
sinF/DG=sinD/FG
sin75/DG=sin48/20
DG*sin48/sin48=20*sin75/sin48
DG=26
D^+F^+G=180(sum of int. angles of triangle)
G^=180-48-75
G^=57
sinG/DF=sinD/FG
sin57/DF=sin48/20
DF*sin48/sin48=20*sin57/sin48
DF=22.57
The value of DF and DG is 22.57 units and 25.9956 units respectively.
Given to us,
∠D = 48°,
∠F = 75°,
FG = 20,
According to sine rule, in a triangle the length of a side of the triangle and the angle opposite to it is always in ratio. therefore,
[tex]\dfrac{A}{sin\alpha}= \dfrac{B}{sin \beta}= \dfrac{C}{sin\gamma}[/tex]
So,
[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{GD}{sin(F)}[/tex],
For ∠G,
∠D + ∠F + ∠G = 180°,
48° + 75° + ∠G = 180°,
∠G = 180° - ( 48° +75°),
∠G = 57°,
Now using the sine rule,
[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{DG}{sin(F)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}\\\\DF = 22.57\ units\\\\\\ \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\DG = 25.9956\ units[/tex]
Hence, the value of DF and DG is 22.57 units and 25.9956 units respectively.
To know more visit:
https://brainly.com/question/18055768
PLEASE HELP VERY IMPORTANT
Answer:
(f o g)(4) = -2
(f o f)(3) = -1
(g o f)(-1) = 2
Step-by-step explanation:
(f o g) (4)
f(g(4))
f (0)
-2
(f o f)(3)
f(f(3))
f(1)
-1
(g o f)(-1)
g(f(-1))
g(-3)
2
Subtract the sum of xy(− x − y −1) and (xy x y) 2 2 − from ( ) 2 2 4x xy −
Answer:
6x + 6y -xy + x^y + xy^2
Step-by-step explanation:
Sum of xy (-x - y -1) & 2 (xy + x + y)[ xy (-x - y -1) ] + 2 (xy + x + y)
-x^2y - xy^2 - xy + 2xy + 2x + 2y
2x + 2y + xy - x^y - xy^2
Subtract from 2 (4x + 4y) , ie 8x + 8y8x + 8y - (2x + 2y + xy - x^2y - xy^2)
8x + 8y - 2x - 2y -xy + x^y + xy^2
6x + 6y -xy + x^y + xy^2
Is it a, b, c, d, plz answer this
Answer:
d 4x^2 + 24x - 8
Step-by-step explanation:
Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1
= (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)
= 4x² + 24x - 8
Please help me, I’ll mark Brainliest to the most well explained answer cause I don’t understand.
Answer:
I would say like terms and addition.
Step-by-step explanation:
Find the distance between (−7, 1) and (0, −6). Round your answer to the nearest tenth.
Answer:
9.9
Step-by-step explanation:i odn't have an explanation but try it i know it is right
Using the formula, it is found that the distance between the two points (−7, 1) and (0, −6) is of 9.9 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are (−7, 1) and (0, −6), hence:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D = \sqrt{(0 - (-7))^2+(-6-1)^2}[/tex]
[tex]D = \sqrt{98}[/tex]
D = 9.9.
More can be learned about the distance between the two points at https://brainly.com/question/18345417
#SPJ2
Which equation has the graph shown?
Answer:
2nd answer choice
Step-by-step explanation:
Graph is increasing by 1
3.2 worksheet angles
Answer:
x = 28, y = 23
Step-by-step explanation:
in keeping with working only with the expressions which have the variable 'y'
the 3y angle forms a linear pair with the angle which is corresponding to the 5y-4 angle
therefore, we can say that 5y - 4 = 180 - 3y
solve for 'y': 5y - 4 = 180 - 3y
8y = 184
y = 23
Substitute to find measure of angle 5y-4: 5(23) - 4 = 111 degrees
Now we know that 2x + 13 has to equal 180 - 111 or 69 degrees
solve for 'x': 2x + 13 = 69
2x = 56
x = 28
Use the the Distributive Property to expand (3y - 2z) 5.
I need HELPPP immediately
Answer:
Step-by-step explanation:
(3y - 2z) 5.
so
3ytimes 5 = 15y (can multiply variable number with non variable number in this case)
and -2z times 5 =-10z
=
15y-10z
The expression (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.
What is Distributive Property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
Given expression:
(3y - 2z) 5,
The above expression can be written by using Distributive Property as,
[tex]A (B + C) = AB + AC[/tex]
(3y - 2z) 5 = 3y × 5 - 2z × 5
(3y - 2z) 5 = 15y - 10z
Therefore, the expression (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.
To know more about Distributive Property:
https://brainly.com/question/6276874
#SPJ2
Last year, Rolls and Spins Adventure Park brought in a total of 3.2 x 109 dollars from the sale
of admission tickets. If the average ticket cost was $40, how many people visited the park
last year?
Write your answer in standard form. Do not use exponents.
people
Submit
Answer:
2
Step-by-step explanation:
I need help with this
9514 1404 393
Answer:
d.
Step-by-step explanation:
The triangle is a right triangle. Statements a-c are true.
There is no necessary relationship between angles F and G. Statement d is false.
do you have all the pic of profit and loss?? class 9 vedanta publication book
Answer:
Yes but not vedanta publication book
you get a zero on an assignment, how many 100 before getting to an A average
Answer:
XXX xxixbhxxhooh the I☺️☺️☺️☺️
Step-by-step explanation:
xxkxozozxoooyyppxoxoglhxlh b lb lkgxkxg♊☺️♊⚓⚾⚓⚾⚓⚾⚾⚓
What are the domain and range of the function represented by the set of ordered pairs? \ (-6,5),(-3,2),(-1,0),(5,-4)\
Answer:
The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}
Step-by-step explanation:
In any set of ordered pairs,
The domain is the values of x (set of x) ⇒ the first number in each ordered pairThe range is the value of y (set of y) ⇒ the second number in each ordered pairLet us solve the question
∵ The set of ordered pairs is {(-6, 5), (-3, 2), (-1, 0), (5, -4)}
∵ The first number in each ordered pair represents x
∴ x = -6, -3, -1, 5
∵ The set of x is the domain of the function
∴ The domain of the set of ordered pairs = {-6, -3, -1, 5}
∵ The second number in each ordered pair represents y
∴ y = 5, 2, 0, -4
∵ The set of y is the range of the function
∴ The range of the set of ordered pairs = {5, 2, 0, -4}
The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}
Answer:
Domain: {-6,-3,-1,5}
Range: {-4,0,2,5}
Step-by-step explanation:
a) How many triangles are created when diagonals are drawn from a single vertex in an n-gon? b) What is the sum of interior angles in an n-gon? How did you determine this?
hi i'm really struggling with this and its due later today! If someone could show the work of how to do it and the answer that would be really appreciated!!
Answer:
[tex]\frac{-5 \pm \sqrt{13} }{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}[/tex]
Step 2: Evaluate
Evaluate Exponents: [tex]\frac{-5 \pm \sqrt{25-4(3)(1)} }{2(3)}[/tex]Evaluate Multiplication: [tex]\frac{-5 \pm \sqrt{25-12} }{6}[/tex]Evaluate Subtraction: [tex]\frac{-5 \pm \sqrt{13} }{6}[/tex]What is 6.87 rounded to the nearest tenth
Answer:
6.9
Step-by-step explanation:
Answer:
6.90
Step-by-step explanation:
Given the Number: 6.87
6 = unit
8 = tenth
7 = hundredth
Hence, to the nearest tenth ; we round the hundredth value ; since the hundredth value (7) is greater than 5, then we round to 1 and add to the tenth placed digit (8)
Therefore,
6.87 = 6.90 (nearest tenth)
What is the correct value of z?
A. Z=12
B. Z=13
C. Z=10
D. Z=11
==========================================
Work Shown:
RS = RT
2z-15 = 9
2z = 9+15
2z = 24
z = 24/2
z = 12
The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.
In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.
11y+2 Help me please
Answer:
what does it equal ?? x???
Step-by-step explanation:
Two trains leave stations 320 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Answer:
1.6 hours / 1 hour 36 minutes
Step-by-step explanation:
105+95=200 miles
This is the distance that the trains could travel in an hour.
320÷200=1.6 hours
Our Answer is 1.6 hours / 1 hour 36 minutes
ASAP PLS ASAP....,..,...:
Answer:
Step-by-step explanation:
0,3,6,9,12,15
0,4,8,12,16,20
for 9 parts yellow you'll need 12 parts blue
for 20 parts blue you'll need 15 parts yellow