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3 years ago

8. Line passes through the points (-6, 6) and (2, -6)

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

Slope = change in y over change in x:

Slope = (-6 6) / 2- -6) = -3/2

Equation of a line is y = Mx + b, where m is the slope and b is the y intercept.

Y = -3/2x + b

Replace y and x with one of the given points and solve for b:

6 = -3/2(-6) + b

6 = -9 + b

B = -9 + 6

B = -3

The equation of the line is y = -3/2x-3

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Make r the subject of the formula in I=E/R+r

allochka39001 [22]

Step-by-step explanation:

$I = \frac{E }{ R} + r$

$I - \frac{ E }{ R} = r$

$\frac{I R -E }{ R} = r$

HOPE IT HELPS Y

8 0

2 years ago

Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe

Naily [24]

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!

5 0

3 years ago

Please someone help me with this word problem for my math class T.T

olga55 [171]

Answer:

<u>Perimeter</u>:

= 58 m (approximate)

= 58.2066 or 58.21 m (exact)

= 208 m² (approximate)

= 210.0006 or 210 m² (exact)

Step-by-step explanation:

Given the following dimensions of a rectangle:

length (L) = $\sqrt{252}$ meters

width (W) = $\sqrt{175}$ meters

The formula for solving the perimeter of a rectangle is:

P = 2(L + W) or 2L + 2W

The formula for solving the area of a rectangle is:

A = L × W

<h2>Approximate Forms:</h2>

In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.

13² = 169

14² = 196

15² = 225

16² = 256

Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width). We can use these values to approximate the perimeter and the area of the rectangle.

P = 2(L + W)

P = 2(13 + 16)

P = 58 m (approximate)

A = L × W

A = 13 × 16

A = 208 m² (approximate)

<h2>Exact Forms:</h2>

L = $\sqrt{252}$ meters = 15.8745 meters

W = $\sqrt{175}$ meters = 13.2288 meters

P = 2(L + W)

P = 2(15.8745 + 13.2288)

P = 2(29.1033)

P = 58.2066 or 58.21 m

A = L × W

A = 15.8745 × 13.2288

A = 210.0006 or 210 m²

8 0

3 years ago

Please help me please I reallly need help

kiruha [24]

Answer:

we have:

$v = \frac{1}{3} \pi \: r {}^{2}h \\ \\ = > 60\pi = \frac{1}{3} \pi \: r {}^{2} h \\ \\ < = > 180 = r {}^{2} h$

=> r²h = 10.18 = 9.20 = 5.36 = 6.30 = 4.45 = 12.15

=> only r²h = 5.36 satisfy the problem

=> h = 5

h = 5 r = 6

h = 5 r = 6=> d = 12

3 0

3 years ago

Pls help me asap for brainlest

PIT_PIT [208]

Answer:

Option 3

Step-by-step explanation:

4 0

3 years ago

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