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castortr0y [4]
3 years ago
8

Find the vertex for the equation: y=-2x^2+16x-31

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

Vertex is (4,1)

Step-by-step explanation:

x=-b/2a so you need to first divide the b (second term) by the a (first term) so you should get 1 as your new a and -8 as your new b. Negative (-8) is just 8 then divide that by 2(1) which is just 2 which equals 4. That is your x. To find your y, you plug your x back into the original equation and then solve it. Hope this helps!

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evablogger [386]

Answer:

44.7

Step-by-step explanation:

I guessed based on what the side looks like so if it's wrong I"m so so sorry

7 0
2 years ago
I need help!! This is getting a little harder than I expected
MAXImum [283]

Length of the side = 9 cm

Diagonal = 9\sqrt{2} cm

Solution:

Area of the square = 81 square centimeters

In square all sides are equal.

Area of the square = side × side

Side × side = 81

Side² = 9²    (∵81 = 9²)

Taking square root on both sides, we get

Side = 9 cm

Length of the side = 9 cm

To find the length of the diagonal:

In square all the angles are right angle.

Diagonal splits the square into two right angle triangle.

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.</em>

Here, diagonal is the hypotenuse.

\text{Diagonal}^2=9^2+9^2

\text{Diagonal}^2=81+81

\text{Diagonal}^2=2\times 81

Taking square root on both side,

Diagonal = 9\sqrt{2} cm

6 0
3 years ago
If DE≅EF, CD = v + 45, and CF = 4v, what is the value of v?
irinina [24]

Answer:

<h2><u>since </u><u>DE≅EF</u></h2>

<u>CD=</u><u>CF </u><u>(</u><u>cpct)</u>

<u>v + 45 = 4v \\ 4v - v = 45 \\ 3v = 45 \\ v =  \frac{45}{3}  \\  v = 15</u>

<h2><u>hope</u><u> it</u><u> helps</u><u> you</u><u><</u><u>3</u></h2>
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It i in the ten thousandths place or the 10,000 place
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