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MArishka [77]
3 years ago
6

Determine whether the following statement is true or false. The graph of f(x)=(x+7)2+4 has its vertex at ​(7​,4​).

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

False.

The vertex is at (-7, 4).

Step-by-step explanation:

f(x) = (x + 7)^2 + 4

The minimum value of (x + 7)^2 = 0 (as it's a perfect square) , so minimum of f(x) is 4 when x = -7.

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Prove that the median to the hypotenuse of a right triangle is half the hypotenuse,
REY [17]

Answer:

D. 2

Step-by-step explanation:

M(0,2b)

N(2a,0)

Then the midpoint P coordinates are

P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)

Use distance formula to find OP and MN:

OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}

So,

MN=2OP

or

OP=1/2 MN

Click to let others know, how helpful is it

7 0
3 years ago
What is the measure of each angle of a regular 24-gon? If necessary, round to the<br> nearest tenth.
Butoxors [25]

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

4 0
3 years ago
Which graph represents y=3 square rootx +2 ?
lakkis [162]
3. Like many epic heroes, Beowulf faces many external conflicts and virtually no internal conflicts. In your opinion, does this make him more or less sympathetic than the heroes of today's stories? Explain your answer.
7 0
4 years ago
What is the slope of this line?
kirza4 [7]

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

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0-(-4)

1/4

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3 years ago
Which inequality represents the graph shown below?
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Option c is right that is x>-2 because point is open.
8 0
3 years ago
Read 2 more answers
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