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Paha777 [63]
3 years ago
15

What value for C will make the expression a perfect square trinomial x2-7x+c

Mathematics
2 answers:
Tom [10]3 years ago
7 0

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

(x-a)^{2}=x^{2}-2ax+a^{2}

In this problem we have

x^{2}-7x+c

so

equate the equations

x^{2}-7x+c=x^{2}-2ax+a^{2}

we have

the following equations

-7x=-2ax -----> equation A

and

c=a^{2} -----> equation B

<u>Solve the equation A</u>

-7x=-2ax

7=2a

a=3.5

<u>Solve the equation B</u>

c=a^{2}

c=3.5^{2}=12.25

therefore

(x-3.5)^{2}=x^{2}-7x+12.25

The value of c is 12.25

wlad13 [49]3 years ago
3 0

Answer:

49/4

Step-by-step explanation:

To make x2-7x+c a perfect square trinomial we do it by completing the square method. First, make half of the coefficient of x then add and subtract by squaring it. c=49/4 this is the required value of c.

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horrorfan [7]
A quadrilateral does have 4 side
3 0
3 years ago
Please help asap I need it in an hour
iVinArrow [24]

Answer:

Step-by-step explanation:

Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.

Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent

The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,

Angle PSR is congruent to angle RPQ and

Triangle PSR is congruent to triangle RPQ

6 0
4 years ago
Ari stocks shelves at a grocery store.He puts 35 cans of juice in each display case.The case has 4 shelves with an equal number
ICE Princess25 [194]

Answer:

There are 8 cans on each of the equal shelves

Step-by-step explanation:

Total number of cans put in display = 35

Shelves with equal no of cans =  4 Shelves

And one shelf displays only 3 cans

Therefore, 4 shelves with equal no of cans + 1 shelf with 3 cans = 35 cans

Let us assume equal no. of cans be x

We get, 4x + 3 = 35

             4x = 35 - 3

             4x = 32

              x  = 32 ÷ 4

              x = 8

<u><em>Thus, 4 shelves with equal no of cans contains 8 cans each.</em></u>

6 0
3 years ago
Please Help!!<br> Solve x2 = 121.<br> A. 60.5<br> B. −11<br> C. 11<br> D. ±11
torisob [31]
D is the right answer
8 0
3 years ago
Read 2 more answers
Find the surface area of the cylinder in terms of pi
tia_tia [17]

Answer:

<u>A≈301.44</u>

Step-by-step explanation:

The area of a cylinder is A=2πrh+2πr^2

You first do the first problem of the equation (A=2πrh)

You fill in the radius and height ( A=2π(4)(8) )

You first multiply 4 x 8 = 32. ( A=2π(32) )

Then you multiply 2 x 32 = 64. ( A=π(64) )

Then you multiply π x 64 (using 3.14 for π) = 200.96 m^2

You then do the second part of the equation. (A=2πr^2)

You fill in the radius. (A=2π(4)^2)

Then multiply 4 x 4 = 16 (because it's to the power of 2 [4 times itself twice]) and then multiply it by 2.

16 x 2 = 32. ( A=π(32) )

Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.

Then you just add them together:

200.96 m^2 + 100.48 m^2 = 301.44 m^2

So <u>301.44 m^2</u> is your answer.

(I hopefully think it is.)

5 0
3 years ago
Read 2 more answers
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