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nevsk [136]
3 years ago
6

N^2-n-42=0 Please help ASAP !!!!

Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

(n-7) (n+6)

Step-by-step explanation:

1. You need to find two numbers that's product will equal to 42 and it's sum is -1.

2. You could probably figure out it's 7 & 6 by now and now you have to figure out which one is positive or negative since they both can't be positive or negative since the product needs to be negative and if it will come out to -1. It's simple math from -7 + 6 equals -1. So the 7 would be negative in the equation and the 6 would be positive.

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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
PLEASE HELP MATH QUESTION PIC BELOW
Vinil7 [7]

Answer:

∠MNP is your answer

Step-by-step explanation:

Note the angle and the order it is said. It is ∠ABC, which means the double line side, one curve line angle, and then triple line side.

Now look at the second triangle, the same double line side (NM), one curve line angle (∠N), and triple line side (NP)

Put them together: ∠MNP is your answer

~

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