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makkiz [27]
3 years ago
12

Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:  y=(x+7)^2-9 where h=-7 and k=-9

Step-by-step explanation:

We need to "complete the square",

A perfect square trinomial formule is:

(a+b)^{2}=a+2ab+b^{2}

in this case, a is x and to find -h we know that 14x is 2*x*(-h) so:

14x=2*x*(-h)

14x/2x=-h (x is simplified)

7=-h => h=-7

we add +7^2 and -7^2, to the first equation:  

y= <u>x^2 + 14x + 7^2</u> -7^2 + 40 (the underlined section is a perfect square trinomial already)

y=(x+7)^2 <u>-49 +40</u> (addition)

y= (x+7)^2 - 9

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Find the volume of this square<br> based pyramid.<br> 5ft<br> 6 ft<br> [? ]ft
Sav [38]

Answer:

48 ft³

Step-by-step explanation:

To find the height, you can use the slant height and the base.

Using the Pythagorean Theorem and 3 as the triangle's base,

a²+b²=c²

3²+b²=5²

9+b²=25

b²=16

b=4

The height of the pyramid is 4.

Volume formula for the pyramid is \frac{1}{3} *b*h

Inserting our measurements:

\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48

5 0
3 years ago
The figure below shows the circle inside of a square if the radius of the circle Is 8cm find the following by showing the formul
Goryan [66]
A. The circumference of the circle:
C = 2 π r = 2 * 3.14 * 8 = 50.24 cm

B. The area of the circle:
A = π r² = 3.14 * 8² = 200.96 cm²

C. The area of the square:
Let's calculate first the side of the square. It is equal to 2r = 2*8=16 cm

The area of the square is:
16*16 = 256 cm²

Hope that helps.
7 0
3 years ago
Read 2 more answers
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
lesya692 [45]

Answer:

x = -6

Step-by-step explanation:

Combine like terms.

5x + 6 = -24

Subtract 6 from both sides.

5x = -30

Divide by 5 on both sides.

x = -6

3 0
2 years ago
Read 2 more answers
How are you supposed to find the slope of a line?
MArishka [77]
You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example

The slope formula is (y2-y1)/(x2-x1)

This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second

In my example you have to do (6-4)/(2-1) to get 2/1, or 2

Hope this helps!
7 0
3 years ago
(r3 +6r2 −21r−18)÷(r−3) solve using synthetic division
alexandr402 [8]

Answer:

y = x^2 + 9x + 6    No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1    +     6    -    21    -   18 ||

                 3         27     + 18

================================

      1          9         6          0


The answser is x^2 + 9x + 6

5 0
3 years ago
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