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3 years ago

A walking path across a park is represented by the equation y = -4x+10. A

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

first invert fraction of the slope from 4/1 to 1/4 and switch sign. then figure out the y-intercept

the algebraic approach would work like this:

-4x + 10 = 1/4x + b

plug in what you got, here: the intersection information

-4*(4) + 10 = 1/4*(4) + b

-16 + 10 = 1 + b

-6 = 1 + b

-7 = b

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M is directly proportional to r3 When r = 4, M = 160 a) Work out the value of M when r = 2.

Natali [406]

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

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2 years ago

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3 years ago

Try box be 1) Solve for m: 2m + 21 = 3 Help please…

Viktor [21]

first step is to subtract 21 from both sides

2m+21-21=3-21

2m=-18

2m/2 and -18/2

m=-9

So the final answer is m=-9 (negative nine equals m)

7 0

2 years ago

Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.

Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

$AC=2\times DF$

$AC=2\times 16$

$AC=32$

Therefore, the length of AC is 32.

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2 years ago

A grading machine can grade 48 tests in 1 minute. How

S_A_V [24]

$\bf \begin{array}{ccll}
tests&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
48&1\\
300&m
\end{array}\implies \cfrac{48}{300}=\cfrac{1}{m}\implies m=\cfrac{300\cdot 1}{48}$

3 0

3 years ago