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2 years ago

Factoring a quadratic with leading coefficient greater than 1 2y^2+17y-9

1 answer:

4 0

Multiply first and last coefficients:
2*(-9) = -18

Find 2 factors which multiply to -18 and add up to 17:
18 and -1

Rewrite quadratic with 17y split up as' 18y - y', Then factor by grouping:

$2y^2 - y + 18y -9 \\ \\ y(2y-1) + 9(2y-1) \\ \\ (2y-1)(y+9)$

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How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5

Neporo4naja [7]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

if we ever face a number written in the form of $\underline{x^{n}}$ where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

$x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )$

therefore ,

$8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8$

option ( B )

hope helpful -,-

4 0

2 years ago

Read 2 more answers

80 POINTS, I WILL MARK BRAINLYEST, LEGIT JUST 4 QUESTIONS. PLEASE ANSWER WITH WORK OR NO POINTS FOR YOU!!!!

Korolek [52]

Answer:

see below

Step-by-step explanation:

given: size of television is height = 37 in, length = 71 in.

A. using Pythagorean theorem:

parts given are legs which is the sides

looking for the hypotenuse.

B. formula:

a² + b² = c² or H² + L² = D²

where H = height = 37

L = length = 71

D = diagonal (which is req'd)

C. D² = 37² + 71²

D = $\sqrt{1369+ 5041}$

D = $\sqrt{6410}$

D = 80 in (missing length)

D. size of television:

37 x 71 in

Diagonal is 80 in

hope it helps and good luck!

5 0

3 years ago

Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates

ElenaW [278]

Answer:

(-6,4)

Step-by-step explanation:

add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.

then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.

then u can obtain the coordinates of B.

8 0

3 years ago

The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet. find the velocit

Trava [24]

Answer:

22.63

Step-by-step explanation:

v = √64 * h

= √64 * 8

= √64 * √8

= 8 * 2√2

= 16√2 = 22.63

7 0

3 years ago

The variables y and x^2 are directly

choli [55]

Answer:

y = $\frac{20}{21}$ x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = $\frac{20}{21}$

y = $\frac{20}{21}$ x² ← equation of proportion

6 0

2 years ago