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Kisachek [45]
3 years ago
8

Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

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If the cube above has a surface area of 54cm^3, what is the volume of the cube?
Colt1911 [192]

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

3 0
3 years ago
Solve the equation, show all your work:<br><br> 6x - 3 = 21
OlgaM077 [116]

<u>Answer:</u>

  • The solution to the equation is 4.

<u>Step-by-step explanation:</u>

<u>Work:</u>

  • 6x - 3 = 21
  • => 6x = 21 + 3
  • => 6x = 24
  • => x = 4

Hence, <u>the solution to the equation is 4.</u>

Hoped this helped.

BrainiacUser1357

5 0
2 years ago
Find the slope of the line graphed below
igomit [66]

We are given two points: (-1, -1) and (1, -4). Slope is calculated as the change in y over the change in x, or rise over run.

The change in y is the difference of the two y coordinates (it doesn't matter the order): -1 - (-4) = 3

The change in x is the difference of the two x coordinates (this order depends on the order that you subtracted the y coordinates; they must be the same order): -1 - 1 = -2.

So, the slope is 3/-2

4 0
3 years ago
Read 2 more answers
Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He
34kurt

Answer:

$1689

Step-by-step explanation:

Excess of rent amount over annual property tax bill = annual rent - annual property tax

annual property tax =  [(assessed property value / 100) x 1.69]

( $390,000 / 100) x 1.69 = $6591

Annual rent = $690 x 12 = $8280

$8280 - $6591 = $1689

7 0
3 years ago
I don't want the answer, but I want to know how you got that answer.
anastassius [24]

Answer:

n = 5

Step-by-step explanation:

4n+5n+15=5n+7n\\\\9n+15=12n\\\\9n+15-15=12n-15\\\\-3n=-15\\\\\frac{-3n=-15}{-3}\\\\ \boxed{n=5}

Hope this helps.

8 0
3 years ago
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