Write a the equation of a line perpendicular to the line y=-7 and goes through the point (-2,3)

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

Answer:

y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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(4z^5 - 14z^4 + 10z^3 - 16z^2 + 41z - 2) / (z - 2)

r-ruslan [8.4K]

Answer:

4z4−6z3−2z2−20z+1

Step-by-step explanation:

4z5−14z4+10z3−16z2+41z−2

z−2

4z5−14z4+10z3−16z2+41z−2

z−2

(z−2)(4z4−6z3−2z2−20z+1)

z−2

=4z4−6z3−2z2−20z+1

(theres no more like terms so u cant)

4 0

2 years ago

Consider that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. If 1 ounce of cottage cheese is equivalent to 2

VikaD [51]

Answer:

4.42 ounces.

Step-by-step explanation:

We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams. We are asked to find the ounces in 1/2 cup serving.

We will use proportions to solve our given problem.

$\frac{\text{Ounce}}{\text{Grams}}=\frac{1}{28.25}$