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3 years ago

What’s the correct answer for this?

Mathematics

2 answers:

Goryan [66]3 years ago

6 0

Answer:

Step-by-step explanation:

Applying the tangent-secant theorem, we get:

12^2 = 8 * (x + 10)

144 = 8x + 80

= 8x = 144 - 80

8x = 64

x = 8

Putting x = 8 in ED, which is x + x + 10, we get:

= 8 + 8 + 10

= 26

Hope this helps!

exis [7]3 years ago

5 0

Answer:

ED = 26

Step-by-step explanation:

Using tangent-secant theorem

(12)²=(8)(x+10)

144=8x+80

144-80=8x

8x = 64

x=8

Now

ED = 8+8+10

ED = 26

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What is the common ratio? {250, 50, 10, 2...}

Allisa [31]

Answer:

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

you can do this by any number, for example:

50 / 10 =5

10 / 2 = 5

6 0

3 years ago

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ

Free_Kalibri [48]

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{0+4}{-1-1}$

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

7 0

3 years ago

Skylar got a manicure for $28 and pedicure for $35 at the salon. If she plans to tip 15%, how much will she pay in total? Must s

d1i1m1o1n [39]

Answer:

Hi there!

Your answer is:

$72.45

Step-by-step explanation:

[28+ (28× .15) ] + [ 35 + (35× .15) ]

( 28+ 4.2) + (35 + 5.25)

32.2 + 40.25

72.45

Hope this helps

4 0

3 years ago

A survey of 1,390 parents of 13- to 17- year-olds found that 653 of 1,390 parents have checked their teen's social media profile

atroni [7]

Answer:

Total number of population = 2043

Step-by-step explanation:

According to the question

Total number of parents = 1390

number of parents checked their teens social media = 653

⇒ Total number of population = 653 +1390

Total number of population = 2043

7 0

2 years ago

Write a linear function F with the values F(-9)=8 and F (0) =1

Fiesta28 [93]

Given:

The values of a linear function are $F(-9)=8$ and $F(0)=1$ .

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The values of a linear function are $F(-9)=8$ and $F(0)=1$ . It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

$y-8=\dfrac{1-8}{0-(-9)}(x-(-9))$

$y-8=\dfrac{-7}{9}(x+9)$

$y-8=\dfrac{-7}{9}(x)+\dfrac{-7}{9}(9)$

$y-8=\dfrac{-7}{9}x-7$

Adding 8 on both sides, we get

$y-8+8=\dfrac{-7}{9}x-7+8$

$y=\dfrac{-7}{9}x+1$

Putting $y=F(x)$ , we get

$F(x)=\dfrac{-7}{9}x+1$

Therefore, the required linear function is $F(x)=\dfrac{-7}{9}x+1$ .

5 0

2 years ago