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zheka24 [161]
3 years ago
9

A=14 and b=6

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

#1. Insert the given values into the equation:

Simplify multiplication from left to right:

Simplify subtraction:

#2. Insert the given values into the equation:

Use PEMDAS. Simplify multiplication:

Simplify division:

#3. Insert given values into the equation:

Use PEMDAS. Simplify parentheses:

Use PEMDAS. Simplify multiplication:

Simplify subtraction:

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( n + -2 ) x ( n - -4 ) = 27<br><br> What are the two n's?
Flauer [41]

Simplify n + -2 to n - 2

(n - 2)(n + 4) = 27

Expand

n^2 + 4n - 2n - 8 = 27

Simplify n^2 + 4n - 2n - 8 to n^2 + 2n - 8

n^2 + 2n - 8 = 27

Move all terms to one side

n^2 + 2n - 8 - 27 = 0

Simplify n^2 + 2n - 8 - 27 to n^2 + 2n - 35

n^2 + 2n - 35 = 0

Factor n^2 + 2n - 35

(n - 5)(n + 7) = 0

Solve for n

<u>n = 5, -7</u>

5 0
3 years ago
Read 2 more answers
Two angles of a triangle are the same size. The third angle is 3 times as large
Gnoma [55]
Use x to represent the first two angles. If the third angle is 3 times as large as the first, it can be represented as 3x. So, your angles are x, x, and 3x. These need to all add to 180 degrees, since it’s a triangle.

x + x + 3x = 180 —> Simplify the left side.
5x = 180 —> Divide by 5.
x = 36

So the first two angles are 36 degrees, and the third angle is 3 times that, which is 108 degrees.
3 0
3 years ago
Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints al
kolbaska11 [484]

Answer:

its 5760ins

Step-by-step explanation:

80 inches * 36 inches * 2 inches = 5760 inches3

good day, and be safe

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

3 0
3 years ago
I Need help. Thanks.
PIT_PIT [208]

Answer:

A

Step-by-step explanation:

-2(5y-5)-3y\leq -7y+22

Expand parentheses:

-10y+10-3y\leq -7y+22

Move all y's to one side and numbers to the other:

-6y\leq 12

Divide both sides by -6. Since you are dividing both sides by a negative number, you need to flip the comparator:

y\geq -2

Hope this helps!

5 0
3 years ago
Read 2 more answers
Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
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