1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Can someone help me please
vovikov84 [41]
X=7




Explanation:

A triangle equals 180°, and they gave us one length already, and it says the one arm of the triangle is equal to the other so we know that the third angle is going to be the same as the second angle.


180=90+(6x+3)+(6x+3)
Combine like terms
180=96+12x
Subtract 96 from both sides
84=12x
Divide 12 by both sides
7=x


Now check it,

90+(6*7+3)+(6*7+3)
90+(45)+(45) =180
8 0
2 years ago
Water flows at 12 m/s in a horizontal pipe with a pressure of 3.0 104 n/m2. if the pipe widens to twice its original radius, wh
Alexxx [7]
Total pressure is constant and PT = P = 1/2*ρ*v^2 So p1 + 1/2*ρ*v1^2 = p2 + 1/2*ρ*v2^2 and from continuity we have ρ*A1*v1 = ρ*A2*v2 So v2 = v1*A1/A2 since r2 = 2r1 then A2 = 4A1 so v2 = v1/4 Now from above p2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v2^2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v1^2/4^2 So p2 = 3.0x10^4Pa + 1/2*1000kg/m^3*(12m/s)^2 - 1/2*1000kg/m^3*12^2/16 = 9.75x10^4Pa = 9.8x10^4Pa
7 0
3 years ago
HELP NEEDED PLEASE!!!
postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

V = (M\cos{\theta}, M\sin{\theta})

In this problem, the magnitude and the angle are given, respectively, by:

M = 12, \theta = 143^\circ

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

8 0
2 years ago
Write an equation with a slope of -1/2 in each form.<br> point-slope form<br> slope-intercept form.
Evgen [1.6K]

For the case of a line through

(

2

,

7

)

and

(

1

,

−

4

)

we have

slope

m

=

Δ

y

Δ

x

=

−

4

−

7

1

−

2

=

−

11

−

1

=

11

Using the point

(

2

,

7

)

we can write the equation of the line in point slope form as:

y

−

7

=

m

(

x

−

2

)

where the slope

m

=

11

.

That is:

y

−

7

=

11

(

x

−

2

)

To get point intercept form, first expand the right hand side so...

y

−

7

=

11

x

−

(

11

⋅

2

)

=

11

x

−

22

Then add

7

to both sides to get:

y

=

11

x

−

15

=

11

x

+

(

−

15

)

This is point intercept (

y

=

m

x

+

c

) form with slope

m

=

11

and intercept

c

=

−

15

.

6 0
2 years ago
The length of the base of a scalene triangle is 22 meters and the height is 14 meters. Find the area of the scalene triangle
Nezavi [6.7K]

Answer:

Area is 154 square meters

Step-by-step explanation:

Well lets think about this

If I take a rectangle and cut it into half diagonally I would get 2 triangles right?

So if I have 2 triangles of the same height and base I can make a rectangle

to find the area of a rectangle I do length times width

So lets take our scalene triangle and multiply our base with its width and then divide by 2

22*14 = 308

308/2 is 154

5 0
3 years ago
Other questions:
  • What is the solution to log25x=3
    10·2 answers
  • The function h is defined by h (x) = x^2 +5.<br> Find h (4a).<br> ????
    8·1 answer
  • For each of the incorrect dot plots, describe what is wrong
    15·1 answer
  • In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0. (In American roulette there are 38
    9·1 answer
  • Pls help ASAP ‼️ will give brainliest
    12·1 answer
  • Someone please help ASAP, will give BRAINLIEST to someone who actually gives a accurate answer
    15·1 answer
  • *Sorry, if I chose math as my subject which this is not what I want I only wanted a music one which is a special class to do so
    15·1 answer
  • Find the slope of the line graphed below.
    10·1 answer
  • YE2 ÷(3Z)= _______<br><br>if y=12, and Z=8
    8·1 answer
  • Solve for the missing side “b” and simplify your answer.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!