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2 years ago

Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12)

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.

going from (7, 2) to (2, 12) :

x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).

so, the slope is 10/-5 = -2

therefore, we have already

y = -2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)

2 = -2×7 + b = -14 + b

16 = b

so, the full line equation is

y = -2x + 16

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Help me please by solving and showing the steps:)

Lorico [155]

Answer:

$-\frac{3\sqrt[3]{t} }{2}$

Step-by-step explanation:

1: Write g(t) as y, resulting in $y=-\frac{8}{27}t^3$

2: Interchange the variables y and t, resulting in $t=-\frac{8}{27}y^3$

3: Multiply both sides by 27, resulting in $27t=-8y^3$

4: Divide both sides by -8, resulting in $-\frac{27t}{8}=y^3$

5: Find the cube root of both sides, resulting in $\sqrt[3]{-\frac{27t}{8} }=y$

6: Apply a radical rule, resulting in $-\sqrt[3]{\frac{27t}{8} } =y$

7: Apply another radical rule, resulting in $-\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y$

8: Simplify the denominator, resulting in $-\frac{\sqrt[3]{27t} }{2} =y$

9: Apply yet another radical rule, resulting in $-\frac{\sqrt[3]{27}\sqrt[3]{t} }{2} =y$

10: Simplify $\sqrt[3]{27}$ , resulting in $-\frac{3\sqrt[3]{t} }{2} =y$

3 0

2 years ago

HELP PLEASE!!!!!!!!!!!!

miskamm [114]

Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:

Then:

m< 1 + m < 38° = 180°

m < 1 = 180° — m < 38°

m < 1 = 142°

Since m < 1 = m < 3, then m < 3 = 142°

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2 years ago

the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels

lidiya [134]

Answer:

Step-by-step explanation:

You need to find out the circumference of the Ferris wheel

C=d*3.14=185*3.14=580.90 m

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2 years ago

(T+10.5) + 2t + 90 = 180

Masja [62]

Answer:

x = 26.5

Step-by-step explanation:

Step 1: Write equation

(t + 10.5) + 2t + 90 = 180

Step 2: Solve for t

Combine like terms: 3t + 100.5 = 180

Subtract 100.5 on both sides: 3t = 79.5

Divide both sides by 3: t = 26.5

Step 3: Check

Plug in x to verify it's a solution.

Substitute: (26.5 + 10.5) + 2(26.5) + 90 = 180

Parenthesis: 37 + 56 + 90 = 180

Add: 180 = 180

∴ x = 26.5

5 0

3 years ago

Read 2 more answers

A pollster obtains a list of all the residential addresses in a certain town, and uses a computer random number generator to cho

Margaret [11]

Answer:

Cluster sampling.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

People divided into groups, by households.

Each member of the households(group) is surveyed, so cluster sampling.

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2 years ago