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3 years ago

Find the equation of the line with slope m=1/5 that contains the point (-10,-1).

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Answer:

Y=1/5x+1

Step-by-step explanation:

change the y intercept so it is 1

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Question is in the photo

blagie [28]

9514 1404 393

Answer:

∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

∠D = 180° - ∠B

∠D = 180° -112°

∠D = 68°

4 0

2 years ago

You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee

iragen [17]

The number of months when the gyms cost the same is 5 months.

<h3>When would the cost be the same?</h3>

Total cost of joining the gym = registration fee + (cost per month x number of months)

Hunkey Heros = $50 + $20m
Zipity-zapity- zap-that-fat = $70 + $10m

When the gyms costs are the same, the two above equations would be equal to each other:

50 + 20m = 70 + 10m

20m - 10m = 70 - 20

10m = 50

m = 50 / 10

m = 5

To learn more about costs, please check: brainly.com/question/25879561

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4 0

2 years ago

An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

2 years ago

Whats the answer to this?

mina [271]

instead of P+2x = y it should be P-2x=y

so then it is P-2x/2 =y

6 0

3 years ago

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys

Dennis_Churaev [7]

Answer:

13x 5y

Step-by-step explanation:

3 0

3 years ago