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Answer:

y = 5/4x - 14

Step-by-step explanation:

Given:

Passes through (8, -4)

Slope (m) = 5/4

Slope-intercept equation:

y - y1 = m(x - x1)

y - (-4) = 5/4(x - 8)

y + 4 = 5/4x - 10

y = 5/4x - 14

Answer:

((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)

The foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The hyperbolic equation is given as,

(y - k)² /a² - (x - h)² /b² = 1

Then the foci of the hyperbola are given as,

(h, k + c) and (h, k - c)

The equation of the hyperbola is given below.

(y + 2)² /25 - (x - 3)² / 4 = 1

Compare the equations, then we have

(h, k) = (3, -2)

a² = 25

b² = 4

Then the value of 'c' is given as,

c² = a² + b²

c² = 25 + 4

c² = 29

c = √29

Then the foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.

More about the hyperbola link is given below.

https://brainly.com/question/12919612

#SPJ2

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%

Answer:

The radian :

[tex] \frac{2\pi}{3} [/tex]

Answer:

x = 33

y = 5

Step-by-step explanation:

Answer:

The area of the canvas must be 30 feet.

Step-by-step explanation:

Answer:

Approximately 169

Step-by-step explanation:

Set up as fractions and use cross multiplilcation to solve for the unknown.

These are our fractions from the information we are given; the winners represent the numerators (and x is the unknown, becuase we don't yet know how many winners there will be with 50000 participants). Note that the denominator on the first fraction is (1476 + 5) because we want it to represent TOTAL amount of particpants in the ratio:

[tex]\frac{5}{1481} = \frac{x}{50000}[/tex]

Now cross multiply by multiplying numerators and denominators that are ACROSS from each other, so 5 * 50000 and 1481 * x; now we have:

250000 = 1481x

Now to isolate x (to know its value) we need to divide both sides by 1481, and we are left with:

168.8 = x

But I rounded up to 169.

Area = π × ( radius )^2

Area = π × ( 18 )^2

Area = π × 324

Area = 324 π mm^2

Answer: I thin it’s Opposite of 2

Step-by-step explanation:

Answer:

The distance between A and D

Step-by-step explanation:

when it is |-2| (in the box) it changes to 2

Answer:

C

Step-by-step explanation:

the bank loans the borrower

hope it help

Answer:

32.5%

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

divided by 100 to get percentage

Answer:

The first term is 8

The common ratio is 2, because the ratio of 8:16 is 1:2 and the ratio of 16:32 is 1:2

Step-by-step explanation:

Answer:

The common ratio of the following geometric sequence is x2 everytime.

Step-by-step explanation:

the area of a rectangle is

a × b

with a, b being the length and width (in any sequence).

a×b = 800

a = 800/b

the perimeter is

2a + 2b

one side is not needed, so we take one of them off. e.g. we take off one a.

a + 2b need to be a minimum

800/b + 2b

f(b) = 800/b + 2b

the extreme value(s) we find as the zero points of the first derivative.

f'(x) = -800/(b²) + 2 = 0

2 = 800/(b²)

2b² = 800

b² = 400

b = ±20 ft

negative lengths don't make sense, so, 20 ft is the solution.

a×b = 800

a×20 = 800

a = 40 ft

so, the minimum fencing is for

a = 40 ft

b = 20 ft (2 times)

the second a is covered by the barn.

Answer:

The sentence

"The Number of Chem textbooks sold is 86 less than the number of History textbooks"

This seems to be the confusing part.

Now look at it this way...

'If CHM text is 86 less than History text... It also means that History Text is 86 More than CHM'

This expression can be written as

Let History Text be "H"

Let CHM text be "C"

C - 86 = H

or

C=H + 86.......1

First line of this question is interpreted thus

H + C = 326.......2

From eqn 1... C=H+86

Substitute into Eqn 2

H + C=326

H + (H+86)=326

H+H=326-86

2H=240

H=240/2

H=120.

C=H+86

C=120+86

C=206.

This answer is correct... Why?

The key statement says .. The Number of CHM sold is 86 less than History...

Also interpreted as

The Number of CHM – 86 = History

206 - 86 =120.

Have a great day!!!

Answer:

The answer is Rotation

enjoy your day hope this helps

Answer:

y=3x

Step-by-step explanation:

Answer:

(a) (0, 2)

(b) (3, 26)

Step-by-step explanation:

y = 8x + 2

(a) x = 0, y = 8(0) + 2 = 2

(b) x = 3, y = 8(3) + 2 = 24 + 2 = 26

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

what is the question?? because this equation is false?

Answer:

Area of a square garden = 2, 500 m².

Length of the side of the garden =  √2,500 = 50 m.

Width of the path = 2.5 m.

Path is inside the garden.

Width of the garden that is inside (enclosed) by the path:

        50 - 2 * 2.5 = 45 m.

Length of the garden inside by the path :  = 45 m.

So the area of garden inside the path = 45 * 45 m²

     = 2, 025 m².

Area of the path = 2, 500 - 2, 025  

    = 475 m².

Cost of laying the path = Rs 25 /m² * 475 m²

   = Rs 11, 875.

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

84in

Step-by-step explanation:

84in

Answer:

2x+3

f(-2)=:2x+3

2(-2)+3

-4+3

= -1

Answer:

5

Step-by-step explanation:

-75 divided (-15) = 5

Answer:

10

Step-by-step explanation:

subtract lower quartile (10) from upper quartile (20)

Answer:

235.619 is my answer since I have done V = (pi) radius squared and height/3

Step-by-step explanation: