Find the value of c that would make the following expression a
perfect square trinomial.
x2 + 28x + c
C =

Answers

Answer 1

Answer:

c = 196

Step-by-step explanation:

To obtain a perfect square trinomial

Add ( half the coefficient of the x- term )² to x² + 28x

x² + 2(14)x + (14)², that is

x² + 28x + 196

= (x + 14)² ← a perfect square

Answer 2

Answer:

c = 196

Step-by-step explanation:

28 /2 = 14

14 x 14 = 196

formula =( b/2) x 2


Related Questions

Do values of these triangles form right triangles or not using Pythagorean theorem

Answers

Answer:

Yes

Yes

No

Step-by-step explanation:

9-12-15 is just a dilation of a 3-4-5, which is right.

6-8-10 is also a dilation of 3-4-5.

However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6

:) The cost price of 11 pencils is equal to the selling price of 10 pencils. Find the gain
or loss per cent.​

Answers

Answer:

You are losing 9 percent for every cent or 0.09cents per cent.

Step-by-step explanation:

Step-by-step explanation:

❅ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

CP of 11 pencils = SP of 10 pencils

❅ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]

Gain percent or loss percent

✻ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \sf{CP\: of \: 1 \: pencil = x \: ( \: suppose}) [/tex]

[tex] \sf{CP \: of \: 11 \: pencils = 11x}[/tex]

[tex] \sf{SP \: of \: 10 \: pencils = 11x}[/tex] { Since CP of 15 articles is equal to SP of 12 )

[tex] \sf{SP \: of \: 1 \: pencil = \frac{11}{10} x}[/tex]

Here , SP > CP. So, He / she made a profit.

[tex] \boxed{ \sf{Profit = SP - CP}}[/tex]

⟿ [tex] \sf{ \frac{11}{10} x - x}[/tex]

⟿ [tex] \sf{ \frac{11x - 10x}{10}} [/tex]

⟿ [tex] \sf{ \frac{x}{10} }[/tex]

Now , Finding the profit percentage :

[tex] \boxed{ \sf{Profit\% \: = \frac{Profit}{CP} \times 100\%}}[/tex]

⟿ [tex] \sf{ \frac{ \frac{x}{10} }{x} } \times 100\%[/tex]

⟿[tex] \sf{ \frac{x}{10} \times \frac{1}{x} \times 100\%}[/tex]

⟿ [tex] \sf{ \frac{ \cancel{x}}{10} \times \frac{1}{ \cancel{x} } \times 100\%}[/tex]

⟿ [tex] \sf{ \frac{1}{10} \times 100\%}[/tex]

⟿ [tex] \boxed{ \sf{10\%}}[/tex]

[tex] \purple{ \boxed{ \boxed{ \tt{⇢Our \: final \: answer : 10\% \: \: profit}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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if f(x) = 5x^3 - 2, then what is the remainder when f(x) is divided by x + 2​

Answers

Answer: -12

Step-by-step explanation: use synthetic division

Answer: -42

Step-by-step explanation:

Please help me!!!!!!!!!!

Answers

Answer:

it think it is D

Step-by-step explanation:

just take one of the number and move it for example 4x right and 2y up and then look at where the connection is.

PLease help me plz i really need this

Answers

Answer:24:16

60:40

28:56

108:36

Step-by-step explanation:3:2

12:8

24:16

60:40

28:56

108:36

The bold  numbers is the  answer to all the missing blank:)

what inequality does this graph represent?

Answers

Y < 1/4x +3

3 is your y intercept.
Count rise and run from that point to second point. You’ll rise 1 and run 4.

Your sign is less than because it’s shaded below.

It’s dotted so you know it’s not equal to. Just less than.

Identify the coefficient and the number of terms in the
following expression.
152 +8
A.) Coefficient: , number of terms: 1
B.) Coefficient: 2, number of terms: 2
C.) Coefficient: 8, number of terms: 1
D.) Coefficient: 15, number of terms: 2

Answers

Answer:

The answer is A because there are no coefficients which is a letter and 1 term.

Inverse of t = (120r)/(r+120)

Answers

9514 1404 393

Answer:

  r = 120t/(120 -t)

Step-by-step explanation:

Given t = f(r), solve for r.

  [tex]t(r+120)=120r \qquad\text{multiply by $r+120$}\\\\rt+120t=120r \qquad\text{eliminate parentheses}\\\\rt-120r=-120t \qquad\text{subtract $120t+120r$}\\\\r(t-120)=-120t \qquad\text{factor}\\\\r=\dfrac{-120t}{t-120} \qquad\text{divide by $t-120$}\\\\\boxed{r=\dfrac{120t}{120-t}} \qquad\text{negate numerator and denominator}[/tex]

 

A circle above has a radius of 6 cm. What is the area of the circle?

Use = 3.14.

Answers

Answer:

113.04

Step-by-step explanation:

formula for area is

pi times radius times radius

if the radius is 6,

do 6 times 6=36

36 times 3.14=113.04

113.04 will be ur answer

Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?

Answers

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

How many groups of 1/2 are in 3 1/2

Answers

Answer:

7

Step-by-step explanation:

each 1 has 2 in it

so 3x2=6

add the extra half

6+1=7

2
Select the correct answer from each drop-down menu.
Simplify the given polynomial and use it to complete the statement.
(-512 – 2x + 4) + (872 – 1 – 1) - (x + 2) (1 – 5)
The polynomial simplifies to an expression that is a
with a degree of
Reset
Next
Pretty sure the problem above is wrong so refer to the picture of your trying to solve thx!!

Answers

Answer:

[tex]2x^2+13[/tex]

Step-by-step explanation:

Given

[tex](-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)[/tex]

Required

Simplify

Expand brackets

[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)[/tex]

[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-3x-10)[/tex]

Open all brackets

[tex]-5x^2-2x+4+8x^2-x-1-x^2+3x+10[/tex]

Collect Like Terms

[tex]-5x^2+8x^2-x^2-2x-x+3x+4-1+10[/tex]

[tex]2x^2+13[/tex]

Hence, the polynomial simplifies to [tex]2x^2+13[/tex] and it has a degree of 2

worth 20 points !! need help asap !

Which of the points are solutions to the inequality?
Check all that apply.
0 (-3, 3)
0 (-2,-2)
0 (-1, 1)
0 (0, 1)
O (2,5)

Answers

Answer:

all boxes except first should be checked

Step-by-step explanation:

the shaded area contains all solutions

see if each ordered pair resides in the solution area

.... .find x ..... ​

Answers

Answer: 120 degrees

Step-by-step explanation: a circle always has a total of 360 degrees

The perimeter of a rectangular window is 348 cm. If the length of the window is 95cm, what is its width?

Answers

The length of the window is 79 cm

y = –3x + 6
y = 9
What is the solution to the system of equations?

(–21, 9)
(9, –21)
(–1, 9)
(9, –1)

Answers

Answer:

(-1, 9)

Step-by-step explanation:

given

[tex]y = - 3x + 6 \\ and \\ y = 9 \\ then \: we \: need \: to :\ find \: x \: so \: that \: when \: plugged \\ to \: - 3x + 6 \: the \: result \: is \: 9 \\ by \: transitive \: rule \\ y = 9 = - 3x + 6 \\ 9 = - 3x + 6 \: (substract \: both \: sides \: with \: 6) \\ 3 = - 3x \: (divides \: both \: sides \: with \: - 3) \\ - 1 = x[/tex]

Answer:

the answer is c

Step-by-step explanation:

because i just took the test

According to Foolproof, by not negotiating the price of your first car purchase, you have a $1,000 "bad" money burn. How long would it take you to earn back the thousand dollars you just threw away if you take home $10.00 per hour? State in terms of how many hours it would take to earn back that money, and explain how you calculated this answer.​

Answers

Answer:

Time required to save 1000$ is 100 hours

Step-by-step explanation:

Money wasted = 1000$

savings = 10.00$ per hour

using unitary method

if i am saving 10.00 $ per hour then let in t hours i save 1000$

⇒ 10.00 x t = 1000

dividing above equation by 10 we get,

t = 100 hours

Therefore, Time required to save 1000$ is 100 hours

Evaluate the given expression for x= 13.
2x + 3
The answer is

Answers

Answer:

no

Step-by-step explanation:

no

the property name for 20+0=20​

Answers

Answer: Identity Property of Addition

Step-by-step explanation: The identity property holds true for addition.

The statement 20 + 0 = 20 represents the identity property of addition.

The identity property of addition says we add 0

to any number, the sum is equal to the original number.

In general terms, we can write the identity property of addition

as a + 0 = a where a is a variable that represents any number.

pls help I need help!

Find the length of side A. ​

Answers

i believe it is c sorry if i am wrong

Answer:

c = 5

Step-by-step explanation:

13² - 12² = c²

169 - 144 = c²

√25 = c

5 = c

plz follow me

Use the diagram below to answer
the following question(s).
In the diagram below, MQ = 30, MN = 5, MN = NO, and OP = PQ.
MN
P
Find the length of PQ.
5
10
15
25

Answers

Answer:

Step-by-step explanation:

The total distance is 30.

According to MQ = 30 .

And the first distance is

MN which is 5

MN = 5

and NO is equal to MN

MN = NO

giving us MN + NO = 10 or 5 + 5 =10

so if we need 30 and have 2 points that equal to 10

we need 20 more to equal 30

leaving OP = PQ or 10 = 10

10+10+5+5= 30

MN + NO + OP + PQ = MQ

THE ANSWER IS 10

Students in elementary school attends school five days each week after three weeks of attendance each student has attended school for a total of 6300 minutes for how many hours each day does each student attend the school

Answers

Answer:

Step-by-step explanation:

first lets meake the minutes into hours by dividing our minutes into hours

6300 / 60 = 105

so in total they go 105 hours in 15 days (5 days for 3 weeks is 15 days)

to find how many hours in each day lets divide our hours into the 5 days

105 / 15 = 7 hours a day

hope this helps <3

What is the perimeter of ABCD?

perimeter =

Answers

Answer:

38

Step-by-step explanation:

All you have to do to find the perimeter of a 2D shape is to add the sides and put the unit of measurement at the end of your answer.

Perimeter of ABCD is 38 units.

Perimeter of a quadrilateralPerimeter of a quadrilateral is given by the sum of the measures of all four sides.

From the picture attached,

Perimeter of the given parallelogram = AB + BC + CD + DA

                                                              = 9 + 10 + 9 + 10

                                                              = 38 units

     Therefore, perimeter of the given parallelogram will be 38 units.

Learn more about the perimeter of a quadrilateral here,

https://brainly.com/question/341702?referrer=searchResults

can someone please help me solve these problems above (6-9)
i’ll give brainliest

Answers

Answer:

6. VT=TX

7. UT=UX=YX

8. VY=UT

Step-by-step explanation:

PLEASE HELP ME =(((((((((((((((((((((((

Answers

Answer:

The answer is

[tex]y = - 5x - 2[/tex]

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, The is what the slope formula is ☟

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 2 - 3}{0 - ( - 1)} = \frac{ - 5}{ \: \: \: 1} = - 5[/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ 3 = - 5( - 1) + b \\ 3 = 5 + b \\ \frac{ - 5 = - 5 \ \ \: \: \: \: \: \: }{ - 2 = b}[/tex]

➌Third: Plug in.

[tex]y = - 5x - 2[/tex]

Write -2x + y = 7 into y = mx + b

Answers

the answer is y = 2x + 7

help me..



find the value of x if √x-5=0( x-5 both r under the root)​

Answers

Answer:

X = 5 plz brainly me

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt{x - 5} = 0 \\ \\ x - 5 = 0 \\ x = 5[/tex]

If it is 11:45 a.m., what will the time be 3 hours and 15 minutes later?

4:15 p.m.
3:00 p.m.
3:15 a.m.
2:45 p.m.

Answers

3 PM, because the 15 min makes a new hour and 3 hours to that is 3.

Answer:

3:00 p.m.

Step-by-step explanation:

because 11:45 + 15 is 12:00 + 3 is 15:00 so it is 3:00 p.m.

Two trains are traveling at a constant rate. Which train has the greater speed?

Answers

Answer:

Train B

Step-by-step explanation:

What is the slope intercept form of the line that
has a slope of 4 and passes through the point (3. -
10)?

Answers

Y= 4(x-3) +10 so y=4x-2

Answer:

y=4x-22

Step-by-step explanation:

slope intercept form: y=mx+b

STEPS:

y-y1=m (x-x1)  <---- The formula to solve ity--10=4(x-3)    y+10=4x-12   -10       -10y=4x-22 <---- Final Answer

Hope this helps!

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