3 years ago

Write the point-slope form of the line that passes through (–7, 8) and has a slope of –5.

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer: y = -5x + 20

Step-by-step explanation:

Remember that : y=mx+b

y = (-5)x + b

Now you can plug your coordinates (-7,8) into that equation.

8 = (-5)-7 + b

Solve for b

8 = -12 + b

Add +12 to both sides of your equation:

20 = b

Now, your new equation is:

y = -5x + 20

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Step-by-Step Explanation:

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3 years ago

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A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

ser-zykov [4K]

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3 years ago

Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.

kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.

According to SOH:

Sin(A) = Opposite/Hypotenuse

Sin(A) = |BC|/|AB|

Opposite side of the triangle is the side facing ∠A.

Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.