Given:
Line segment XY is located at X(2, 6) and Y(4,8).
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).
To find:
The coordinates of X'
Solution:
If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is
[tex](x,y)\to (2(x-(-3))+(-3),2(y-4)+4)[/tex]
[tex](x,y)\to (2(x+3)-3,2y+2(-4)+4)[/tex]
[tex](x,y)\to (2x+6-3,2y-8+4)[/tex]
[tex](x,y)\to (2x+3,2y-4)[/tex]
The coordinate of X are (2,6).
[tex]X(2,6)\to X'(2(2)+3,2(6)-4)[/tex]
[tex]X(2,6)\to X'(4+3,12-4)[/tex]
[tex]X(2,6)\to X'(7,8)[/tex]
Therefore, the coordinates of X' are (7,8).
SOMEONE PLEASE HELP ME WITH THIS QUESTION, AND PLEASE SHOW WORK. ASAP
Answer:
52cm
Step-by-step explanation:
6^2 = 36
4^2 = 16
16+36= 52
x^2-4x+3=0 determine the nature of the roots
x^2 - 4x + 3 = 0
Factor the left side.
What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?
How about -1 times -3?
Yes, (-1)(-3) is 3 but when added yield -4.
(x - 3)(x - 1) = 0
Set each factor to 0 and solve for x.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
The word root is just another word for solution or the zero of a polynomial.
Answer: x = 1 or x = 3 are the roots.
The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Complete Question
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answer:
Center Z score = 4.5
The score is unusual
Step-by-step explanation:
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
The formula for z score is:
z = (x-μ)/σ, where
x is the raw score = 6.9feet
μ is the population mean = 6feet
σ is the population standard deviation = 0.2 feet
Hence:
Z = 6.9 - 6/0.2
Z = 0.9/0.2
Z = 4.5
Yes this score is unusual
In the inequality 10x + 18 <_238 x represents the number of days Matt will be able to work during the summer. Which phrase MOST accurately describes that number of days?
A. exactly 22 days
B. more than 22 days
C. at most 22 days
D. less than 22 days
25 PTS!!
Answer:(c)
Step-by-step explanation:
Given
Inequality is [tex]10x+18\leq 238[/tex]
Subtract [tex]18[/tex] from both side of the inequality
[tex]\Rightarrow 10x+18-18\leq 238-18\\\Rightarrow 10x\leq 220[/tex]
divide both sides by 10
[tex]\Rightarrow \frac{10x}{10}\leq \frac{220}{10}\\\Rightarrow x\leq 22[/tex]
Therefore, maximum value of x can be 22 i.e. at most 22 days
Owens birthday cake weights 6 T. (LOL). How many pounds does it weigh?
Answer:
12000 pounds is your answer
A survey shows that ..
Answer:
It is C, 66.67%
Step-by-step explanation:
Solve for the unknown values.
Answer:
x=85
y=45
Step-by-step explanation:
using the sum of a straight angle:
x+95=180
x=85
then we can use the sum of the inner angles of a triangle:
50+85+y=180
y=45
i’ll give brainliest please help
Answer:
D. 4.5
Step-by-step explanation:
Answer:
(4,5)
Step-by-step explanation:
Tell how much each person gets when they share equally 4 friends share 7 pounds of cashews
Answer:
They each get 1 3/4 pounds of cashews
Step-by-step explanation:
7 ÷ 4 = 1.75
1.75 ( 1 3/4)
estimait 39 timse 24
The Answer is 1,000
help with all 3 of those please
First Problem:
Equation -- 180 = x + 168
x = 12 Degrees
Second Problem:
Equation -- 180 = x+108
x = 72 Degrees
Third Problem:
Equation -- 180 = x +82
x = 98
PLEASE HELP ITS REALLY EASY PLS IM DESPERATE AHHHH PSLPLSPLS
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Answer:
i think its b srry if im wrong
Step-by-step explanation:
Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually plans to stop and rest for about 15 minutes
Answer: 60 minutes
Step-by-step explanation: 450 divide by 10 = 45
45+15=60
Write the expression as a power of 3
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
14. Answer : 3² . 3³ . 3¹ . 3⁴
Answer:
14. Answer : 3² . 3³ . 3¹ . 3⁴
Step-by-step explanation:
because I just know
Calculate the product: 48×38.
Answer:
1824
Step-by-step explanation:
48 x 38 =1824
hhhhhffffffffggtrrrrrrrrrx yd pleae only answer if you know.
Answer:
Blue balloons : 63, 7, 14
Red balloons : 45, 5, 10
14 balloons in a group that has 10 red balloons
Step-by-step explanation:
First, 63/9 = 7, so 45/9 = 5.
Second, 5 x 2 = 10, so 7 x 2 = 14
Hope this helps!
Expressed in simplest radical form, the product of √6 and √15 is
If R(y=-1 ° T<0,3>)(X) → X'(3, -2), what were the coordinates of X?
[If (r, ) are polar coordinates of the point (x, y) with r > 0, note that not a. ... + y2) In(x2 + y2) (x,y) → (0,0) DNE X Find h(x, y) = g(f(x, y)). g(t) = t + In(t), f(x, y) = 3 - xy 4 ...
You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint.
Answer:
28" x 35"
Step-by-step explanation:
Based on the ratio we see that for every 1 inch in the blueprint there are a total of 14 inches in the real-life model of the doghouse. Therefore, in order to find the actual dimensions of the real-life doghouse we simply need to multiply the individual length and width dimensions of the blueprint by 14. Since the real-life model is 14 times bigger according to the ratio.
2 * 14 = 28
2.5 * 14 = 35
Finally, we can see that the real-life doghouse has a the following dimensions 28" x 35"
A square has a diagonal length of 13m what is the side length of the square round to the nearest centimeter?
Answer:
a≈9.19m
Step-by-step explanation:
What is the average rate of change over the interval 1≤x≤3
9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
Which group of numbers is listed from greatest to least? -3, -4, -7, -8, -9 9, 7, 6, -5, -4 8, -6, 5, -4, 1 -3, -1, 0, 2, 7
please help quickly!! thanks!! :))
Two possible plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? Show your work. Explain the reasoning.
Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
(x+3)•4=(x+4)•2+(x+1)•2
Step-by-step explanation:
4x+12=2x+8+2x+2
4x-2x-2x=-12+8+2
0=-2
this expression is indeterminate.
Near the equator, the Earth rotates approximately 3 4 kilometers every 3 2 seconds. What is the speed of Earth's rotation near the equator?
Answer:
Speed = 1.0625 km / sec
Step-by-step explanation:
Distance = 34 kilometers
Time = 32 seconds
Speed = ?
The relationship between these quantities is given as;
Speed = Distance / Time
Inserting the values;
Speed = 34 km / 32 sec
Speed = 1.0625 km / sec
Question 5 20 pts If the radius of a circle is 28 cm, what is the circumference? (Use 3.14 for pi)
Answer:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi
Answer:
175.93
Step-by-step explanation:
Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence.
Answer:
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Select all the values that are equivalent to -(7/8)
Answer:
last option
the correct answer is
- (- 7 / - 8)
The length of one diagonal of a rhombus is 8 cm. The area of the rhombus is 72 cm2. What is the length of the other diagonal of the rhombus?
Answer:
18 cm
Step-by-step explanation:
From the question above,
Area of a rhombus
A = d₁d₂/2.................. Equation 1
Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal
make d₂ the subject of the equation
d₂ = 2A/d₁............... equation 2
Given: A = 72 cm², d₁ = 8 cm
Substitute these values into equation 2
d₂ = (2×72)/8
d₂ = 144/8
d₂ = 18 cm.