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Leto [7]
4 years ago
7

What is h(x)=7+10x+x^2 written in vertex form?

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
6 0

Answer:

h(x) = (x + 5)² - 18

Step-by-step explanation:

Given

h(x) = 7 + 10x + x² = x² + 10x + 7

To obtain vertex form, use the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² + 10x

h(x) = x² + 2(5)x + 25 - 25 + 7

      = (x + 5)² - 18 ← in vertex form

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What set of numbers are all factors of 18
kifflom [539]

Answer:

2,3,9

Step-by-step explanation:

factors are the smallest numbers that can divide 18completely

7 0
3 years ago
If a b and m∠2 = 71°, what is m∠1?
Nikolay [14]

Answer:

  71°

Step-by-step explanation:

In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.

If a║b, then ∠1 and ∠2 are corresponding, hence congruent.

  m∠1 = m∠2 = 71°

8 0
3 years ago
HELP PLEASE PLEASE PLEASE
svlad2 [7]

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

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y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The world record for the fastest typing speed is 212 words per minute. How many words per second is this? Round to the nearest t
taurus [48]

Answer:

3.5

Step-by-step explanation:

212 words / 60 seconds in a minute = 3.53 repeating


6 0
3 years ago
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Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
professor190 [17]

Given:

The ratio is \dfrac{3}{1}.

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio \dfrac{3}{1} = \tan^{-1}\dfrac{3}{1}

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Using scientific or graphing calculator, we get

Inverse tangent of the ratio \dfrac{3}{1} = 71.565^\circ

Round to the nearest degree

Inverse tangent of the ratio \dfrac{3}{1}\approx 72^\circ

Therefore, the correct option is C.

3 0
3 years ago
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