3 years ago

Find the value of c that makes each trinomial a perfect square. x^2+5x+c

Mathematics

1 answer:

fredd [130]3 years ago

5 0

Answer:

25/4

Step-by-step explanation:

x² + 5x + c

x² + 2(x)(5/2) + (5/2)²

(5/2)² = 25/4 or 6¼

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aksik [14]

Answer:

Step-by-step explanation:

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3 years ago

Iii. Divide and simplify if possible. 7) 5V2u y2 V 18uv4 8) 3V 50x’y V2.xy

Luden [163]

Ummm let’s see......

3xy(1/3)

7 0

3 years ago

A cardboard box of 32 in^3 volume with a square base and open top is to be constructed. What is the length of base that will min

stiv31 [10]

Volume = are base*height
32 = x^2*h --> h = 32/x^2

surface area = 4x(32/x^2) + x^2
SA = 128/x + x^2

SA' = -128/x^2 + 2x = 0
2x = 128/x^2
2x^3 = 128
x^3 = 64
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surface area minimized when length of base is 4 in.

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6 0

3 years ago

Read 2 more answers

A ball was kicked into the air from a balcony 20 feet above the ground, and the ball’s height above the ground, in feet, t secon

Svet_ta [14]

$h(t)=20-16t^2+32t \\ \Downarrow \\ h(t)=-16t^2+32t+20 \\ \\
a=-16 \\ b=32$

The maximum height is the y-coordinate of the vertex (x,y) of the parabola.
First find the x-coordinate using the formula:
$x=\frac{-b}{2a}=\frac{-32}{2 \times (-16)}=\frac{-32}{-32}=1$

Now plug the value into the equation and find the y-coordinate:
$y=h(x)=h(1)=-16 \times 1^2+32 \times 1+20=-16+32+20=36$

The maximum height is 36 feet.

8 0

4 years ago

Factor: 4x2 - 6x - 2x + 3

ella [17]

Answer:

(2x−1)(2x−3)

Step-by-step explanation:

4x² - 6x - 2x + 3

= 4x² - 8x + 3 (by factorization method, or choose any of your favorite methods)

= (2x−1)(2x−3)

3 0

4 years ago