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lesya692 [45]
3 years ago
8

Complete the square for the function y=x²+4x​

Mathematics
1 answer:
topjm [15]3 years ago
5 0

Answer:

y==(x+2)²-4

Step-by-step explanation:

y=x²+4x

=(x+2)²-4

(x+2)²==x²+4x+4

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3 years ago
A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the
Alona [7]
We are given the expression of the equation of a circle that is x2 + y2 + 14x + 2y + 14 = 0. Using ocmpleting the squares: 
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal ot square root of 36 equal to 6. 
7 0
3 years ago
Read 2 more answers
Find the indicated limit, if it exists.(7 points)
Alecsey [184]

Answer:

7

Step-by-step explanation:

The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.

\lim_{x \to 0^-} f(x)=7-x^2

\lim_{x \to 0^-} f(x)=7-(0)^2=7

The right hand limit is

\lim_{x \to 0^+} f(x)=10x+7

\lim_{x \to 0^+} f(x)=10(0)+7=7

Since the left hand limit equals the right hand limit;

\lim_{x \to 0} f(x)=7

7 0
3 years ago
In circle P with mNRQ = 60°, find the angle measure of minor arc NQ
Galina-37 [17]

Given:

m∠NRQ = 60°

To find:

The angle measure of minor arc NQ

Solution:

The inscribed angle is half of the intercepted arc.

$\Rightarrow m\angle NRQ =\frac{1}{2} m(ar NQ)

Multiply by 2 on both sides.

$\Rightarrow 2 \times m\angle NRQ =2 \times \frac{1}{2} m(ar NQ)

$\Rightarrow 2 \ m\angle NRQ =m(ar NQ)

Substitute m∠NRQ = 60°.

$\Rightarrow 2\times 60^\circ=m(ar NQ)

$\Rightarrow 120^\circ=m(ar NQ)

The measure of minor arc NQ is 120°.

8 0
3 years ago
What is the value of x in this figure?
slega [8]
Check the picture below.

\bf 10\cdot \stackrel{cos(30^o)}{\cfrac{\sqrt{3}}{2}}=x\implies 5\sqrt{3}=x

5 0
3 years ago
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