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Drupady [299]
3 years ago
14

Given 4x - y = 32, find: a.) x-intercept b.) y-intercept c.) slope

Mathematics
1 answer:
Rashid [163]3 years ago
8 0
You always want to get y by itself and in the form y = mx + b. So first, subtract 4x from both sides to get -y = -4x +32
You also want to get rid of that negative sign. That’s easy, divide everything by negative 1 to get:
y = 4x - 32

We can see the slope is just 4 and the y intercept is -32. The y-intercept is when x equals zero, you’ll get -32 if you do so. The x-intercept is now when y equals zero. Now solve for x. You get 4x = 32, divide by 4 to get 8

a.) 8
b.) -32
c.) 4
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Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

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