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KonstantinChe [14]
2 years ago
7

Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line s

egment Q R is dilated to create line segment Q prime R prime. The length of R T is 6 and the length of R prime R is y. What is y, the distance between points R and R'?
Mathematics
2 answers:
velikii [3]2 years ago
5 0

Answer:

y= 3

Step-by-step explanation:

Given

RT = 6

k = 1.5 --- dilation ratio

See attachment

Required

Determine length, y

First, we calculate length R'T.

Since point T is the center of dilation, then:

R'T = k * RT

Substitute known values

R'T = 1.5 * 6

R'T = 9

y is between R'T and RT;

So:

y = R'T - RT\\

y = 9 -6

y= 3

nalin [4]2 years ago
5 0

Answer:

either 4 or 9

Step-by-step explanation:

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23.
guajiro [1.7K]

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 90, 95, 80, 84, 75, 80.
  • The values of y are: 80, 90, 90, 95, 75, 85.

Using a calculator, the coefficient is of 0.35.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

5 0
1 year ago
What is the approximate age of a woman whose normal systolic pressure measures 125 mm Hg?
sashaice [31]

The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31

The function is given as:

P(A) = 0.006A^2 - 0.02A + 120

When the normal systolic pressure is 125, it means that:

P(A) = 125

So, we have:

125 = 0.006A^2 - 0.02A + 120

Subtract 125 from both sides of the equation

0= 0.006A^2 - 0.02A + 120 -125

0= 0.006A^2 - 0.02A - 5

Rewrite the equation as:

0.006A^2 - 0.02A - 5 = 0

Using a graphing calculator, we have:

A = \{30.58, -27.25\}

But age cannot be negative.

So, we have:

A = 30.58

Approximate

A =31

Hence, the age of the woman is 31

Read more about quadratic functions at:

brainly.com/question/11441586

8 0
2 years ago
Read 2 more answers
Given the regular octagon, what is the length of any side?
Jlenok [28]

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

3 0
3 years ago
Read 2 more answers
If you save $125 each week for one year, how much will you be able to save? There are 52 weeks in one year.
statuscvo [17]

Answer:

You will save 6,500

Explanation:

There are 52 weeks in one year multiply 52 times 125

5 0
3 years ago
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
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