Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form
Answer:
y=-5x-7
Step-by-step explanation:
y=-5x-7
Hope you are having a good day!
Answer:
-26
Step-by-step explanation:
-23 + (-1-2) = -26
8. Find the perimeter of ABC with vertices A(-8, -3), B(-2, -3), and C(-8,5).
Answer:
24
Step-by-step explanation:
weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft of carpet. What are the length and width of the scale drawing?
the answer is 9.2 in by 10 in
The length and the width of the scale drawing are 7.14 inches by 10 inches.
Since every 5 inches on the drawing represents 7 ft of carpet, then the width of the drawing will be:
= 10 × 5/7 = 50/7 = 7.14 inches
The length of the drawing will be:
= 14 × 5/7
= 10 inches.
Therefore, the length and the width of the scale drawing are 7.14 inches by 10 inches.
Read related link on:
https://brainly.com/question/18336040
Answers anyone???
Hurry
Answer:
Its called math
Step-by-step explanation:
1. Kirk is getting a raise of 5% due to inflation. His
normal salary is $56,000 per year. Which of the
following calculations gives Kirk's new salary, in
dollars?
A. 56,000 + 5
B. 56,000 + 56,000(0,05)
C. 56,000 + 56,000(0.50)
D. 56,000 + 56,000(5)
E. 56,0000.05)
I need help pls help me!!
I think the answer is D
Ok I rlly need help with this question it’s rlly hard for me there’s a picture to show —> helppp
Answer:
x=20; vertical angles theorem
Step-by-step explanation:
hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.
2x+10=50
2x=40
x=20
x=20 because of the vertical angles theorem.
Marsha gave the cashier 20 to pay for 3 pairs or socks.
First, you must subtract.
$20 - $5.03 = $14.97This is because he recieved $5.03 in exchange.
Next, you must divide by 3.
$14.97 / 3 = $4.99
Therefore each pair of socks costs $4.99.
Hope this helps!
Answer for brainliest!
Answer:
-5, -6, -7, -8, -9, -10, -11
Step-by-step explanation:
Answer:
-12<x<-9/2Step-by-step explanation:
2x+9<o
x>-12
-12<x<-9/2-0.4a + 3 = 7
a = ?
The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
On a school fieldtrip with 344 students, they filled 5 buses, but 34
students couldn't fit on the buses and had to get rides with their parents.
How many students fit on each bus? *
please help me solve this
Answer:
-1
Step-by-step explanation:
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.
Answer:
The ratio of giraffes to otters is 8:16. If simplified it's 1:2
Step-by-step explanation:
I need help!!!!!! I only have 5 minutes!!!
use two unit multipliers to convert:
A. 90 yards to inches
Answer:
The yards and the feet will "cancel" out, and you will be left with the answer in inches.
I hope this helps!
Step-by-step explanation:
How do you simplify radical and rational
expressions
Solve for x in the equation x squared minus 4 x minus 9 = 29
Answer:
x=5
Step-by-step explanation:
4x-9=29
4x=29-9
4x=20
x=20/4
x=5
Every quotitent of two integers is an integer
Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.
Answer:
50 + 30x = 45x
Step-by-step explanation:
We are told that Susan drove 50 miles before Rick started his journey.
We are told that Susan drives at 30 miles/hr
Which means total distance by Susan for x number of hours is;
50 + 30x miles
Total distance driven by Rick for x number of hours = 45x
For Rick and Susan to be at the same point, their distance covered must be the same.
Thus;
50 + 30x = 45x
45x - 30x = 50
15x = 50
x = 50/15
x = 3.333 hours
Thus, the equation where Rick and Susan would have driven the same number of miles is;
50 + 30x = 45x
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate
Answer:
5, 9, and 17
Step-by-step explanation:
Did it on Edg. 2021 and got it right.
I really need your help please help
Answer:
A and D
Step-by-step explanation:
If you simplify for A it is 8x +8
If you simplify for D it is 8x+8
Answer:
A & D
Step-by-step explanation:
Simplify all of them and then see which one has the same answer and those two are the answers
Select each set of points that are colinear.
Answer:
friend, a points are collinear
Answer:
points K and R are colinear
Step-by-step explanation:
1.What is the slope of the function shown on the graph?
A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).
A−56
B−54
C−65
D−45
2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?
A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).
A.The cost of the delivery is $120.
B.The cost of stone dust is $0.035 per pound.
C.The cost of the delivery is $70.
D.The cost of stone dust is $70 per ton.
3.What is the x-intercept of the function f(x) graphed on the coordinate plane?
A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).
A−2
B−1
C2
D1
Answer:
1) B - 5/4
2) A. The cost of delivery is $120
3) C 2
Step-by-step explanation:
1) The given parameters are;
The demarcations on the x-axis = -10 to 10
The demarcations on the y-axis = -10 to 10
The coordinates of two points on the graph are (0. 7), and (4, 2)
The slope, m, of a graph is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;
[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]
The slope, m = -5/4
Taking B. as = -5/4
2. The given information are;
The nature of the cost of delivery of crushed stone = Cost of delivery, A
The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A
Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;
C = m × x + A
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = m × 0 + A
C[tex]_{(y-intercept)}[/tex] = A = Cost of delivery
The points on the line are;
(0, 120) and (400, 134), therefore, the slope, m, is given as follows;
[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]
We have;
(C - 134) = 0.035×(x - 400)
C = 0.035·x - 14 + 134 = 0.035·x + 120
C = 0.035·x + 120
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120
C[tex]_{(y-intercept)}[/tex] = 120 = Cost of delivery
Therefore, the cost at the y-intercept = The cost of delivery = $120
3. The coordinates of points on the graph are;
(0, 1) and (2, 0)
The slope, m = (0 - 1)/(2 - 0) = -1/2
The equation of the line in point slope form is given as follows;
(y - 0) = -1/2 × (x - 2)
y = -x/2 + 1
The x-intercept occurs at the point y = 0, which is presented as follows;
0 = -x/2 + 1
-x/2 = -1
x = -1 × (-2) = 2
x = 2
Therefore, the y-intercept occurs at x = 2.
The correct option is
C 2
My Brainly Ads Aren't Working, When I Press Watch Ad It's Taking Forever Long To Load And I Really Do Need These Answers Is There Anyway I Can Fix This?
Answer:
Try reloading, or turning off ur phone. it worked for me...
Step-by-step explanation:
Answer:
mine aren't either and I also really need answers pls help
Step-by-step explanation:
When doing a throw in how many of your feet should be touching the ground.
15!!! POINTS!!! PLS ANSWER THIS IM HAVING WAY TOO MUCH TROUBLE WITH IT. I’m in 10th grade and this is compound interest. PLS HELP ME IXLS SO FRUSTRATING!!! If you don’t know PLS don’t comment I’ve been doing this for over 2 hours pls
Answer:
well im in 7th sorry i cant help
Step-by-step explanation:
Answer:
6 years
Step-by-step explanation:
if we want to know how much i will get with interest
simple interest amount = principal amount × (rate / m) × n
plus the initial quantity
where m is 12 months per year
and n is the number of months
[tex]4451=2887(\frac{0.09}{12months/year})(n)+2887\\\\4451=2887[\frac{0.09}{12}(n)+1]\\\\(\frac{0.09}{12}\cdot n)+1=\frac{4451}{2887}\\\\\frac{0.09}{12}\cdot n=1.54-1\\\\n(0.09)=12(0.54)\\\\n=\frac{12(0.54)}{0.09}\\\\n=72.23\longleftarrow months[/tex]
so we need to convert it to years
[tex]72.23=12(6)+0.019[/tex]
6 years and 0 months
I apologize if there is some mistake in my answer
Which function is a quadratic function?
A) p(x) = 2x (x^2 + 6) + 1
B) m(x) = -4 (x + 3) -2
C) t(x) = -8x^2 (x^2 - 6) + 1
D) h(x) = 3x (x - 2) - 4
Answer:
D
Step-by-step explanation:
3x (x-2) - 4
3x²-6x-4
I hope it's helpful
You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show
Answer:
the answer would be $45
Step-by-step explanation: