Answer:
In both the above questions, correct option is (D).
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9.
Blank 1: 4
Blank 2:2
Blank 3:3
The area of a rectangle is equal to its width times its length. To find the width given the area, divide the area by the length. I’ll break this down for each term...
(48x^3y^7) / (12xy^4)
48/4=12
X^3 / X = X^2 (subtract exponential values when dividing)
Y^7 / Y^4 = Y^3 (subtract exponential values when dividing)
10.
Blank 1: 2
Blank 2: x^9
Blank 3: y^3
Blank 4: z^5
To find the length of the cube when given the volume, divide by the product of the width and height (heigh times width).
The product of the width and the height is 30x^7y^6.
60/30=2
X^16/x^7=x^9
Y^9/y^6=y^3
Z^5/1=z^5
Please mark brainliest if this helped! Feel free to ask any questions in the comments as well. Hope this helps! ;)
Answer:
y + 9 = 1/5(x + 8)
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
Substitute the values into the equation.
y - (-9) = 1/5(x - (-8)
y + 9 = 1/5(x + 8)
The slope formula is the difference of the y values over the difference in the x values. We have a slope, so we will fill in the formula with what we have and then solve for x:

. Multiply both sides by x-10 to get rid of the fraction. -2(x-10) = 4. Distribute to get -2x+20=4 and -2x = -16. That gives us an x value of 8.