Find the value of $c$ that makes $x^2+20x+c$ a perfect square trinomial. $c=$ Write the expression as the square of a binomial. The expression is .

Answers

Answer 1

9514 1404 393

Answer:

c = 100(x +10)²

Step-by-step explanation:

The square of a binomial is ...

  (x +a)² = x² +2ax + a²

Comparing this to your expression, we have ...

  2a = 20 . . . . x-coefficient

  a² = c . . . . . . constant term

Then ...

  a = 20/2 = 10

  a² = 10² = 100 = c

The square is then ...

  (x +10)²

Answer 2

Answer:

c = 100 makes this a perfect square trinomial

Step-by-step explanation:

[tex]x^2+20x+c\\x^2+20x+100\\=(x+10)^{2}[/tex]


Related Questions

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

Answers

Please mark me as Brainliest ......

Answer:

D

Step-by-step explanation:

Edge 2021 ;))

When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist

Answers

Answer: 5 1/3

Step-by-step explanation:

- 12 x (- 8)

plz help ASAP

Answers

Answer:

Its 96 hope it helped :)

Step-by-step explanation:

Answer:

96x

Step-by-step explanation: (2 negatives make a positive)

1. multiply the common factors first

-12x (-8)

(-12)*(-8) = 96

2. now you bring down the X and multiply X to 96

x(96) = 96x

Im in no rush just need help

Answers

Answer:

1. Right: pointing downwards

Left: pointing upwards

2. Right: pointing upwards

Left: pointing upwards

3. Right: pointing downwards

Left: pointing upwards

4a. True

4b. True

Step-by-step explanation:

When the leading coefficient is negative the equation will either open downwards or the y-values will decrease as the x-values increase. The opposite is true for when the leading coefficient is positive. When the degree is odd one end will point downwards while the other points upwards. When the degree is even, both ends point in the same direction.

I hope this helps :)

Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please

Answers

This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.

Based on the scatterplot, what is the best prediction of the foot length for a person who has a head diameter of 54 centimeters?

Answers

Answer:

its kinda hard to see, sorry, im guessing its 30

Select the graph that represents two quantities in a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation:

A graph representing a proportional relationship is a straight line passing through the origin.

The only straight line graphs passing through the origin are B and D

Graph in Option D satisfies Proportional Relationship.

What is Proportional Relationship ?

The relationship between two variables such that on increase of one variable the other also increases by some proportion.

It is represented by

y∝ x

y = kx

where k is the proportionality constant

The graph should pass through origin to show a proportional Relation

and should have same proportionality constant through out

Option D satisfies both the condition with k = 0.5.

Therefore Option D is the correct answer.

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10 1/2 x 1/3 help me pls

Answers

Answer:

The answer is 3.5

Step-by-step explanation:

Hope this helps :)

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account. ​

Answers

Answer:

A, C

Step-by-step explanation:

Maybe A and C because its reflecting in the opposite direction which is 180

Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be
one week long, another two days, and the other two weeks.
Оа
ob
Factorial; 5040 possible choices
Fundamental Counting Principle; 196 possible choices
Combination; 35 possible choices
Permutation; 210 possible choices
Od

Answers

Answer:210

Step-by-step explanation:

please help me solve this problem. ​

Answers

Answer:

Step-by-step explanation:

There is no solution

Answer: There is no such value of X.

Step-by-step explanation:

If you get this wrong, im sorry but im sure that its the right answer.

If y = –2 whenx
1, find xwhen y = 4

Answers

Answer:

x=-1/2 decimal form -0.5

Step-by-step explanation:

Multiply -2 and 1 then divide by 4,-2/4. x = −1 /2

mx+b=chiotx46,6 chihuahua

Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.​

Answers

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

If m∠BEF = 100 and m∠CBE = 75, what is m∠DAG?

Answers

Answer:

m<DAG=25°

I want to explain why but I'm feeling too lazy right now. Basically by using vertical angles theorem and definition of congruent angles I solved it

Step-by-step explanation:

The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)

Answers

Answer:

(2, -3)

Step-by-step explanation:

Well the equation is y - y1 = m ( x - x1)

-3 = y1

2 = x1

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

The given equation is in point-slope form. That is,

[tex]y-y1=m(x-x1)[/tex]

[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.

So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].

The point that this equation passes through is (2,-3).

I hope this helps!

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Answers

Answer:

Hope that this helps answer your question

Step-by-step explanation:

thanks for the points♡

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

The sample response :D

!!QUICK PLEASE!!
consider the following table of values:

(picture below)


write m(x) as a transformation of f(x)

a. m(x) = f(x) + 2

b. m(x) = f(x + 2)

c. f(x) = m(x) - 2

d. f(x) = m(x - 2)

Answers

Answer:

I can't see the picture?

PLEASE HELP MEE!!! Which ordered pair is a solution to the linear system? –4x – 5y = 12 and 6x + 5y = 2



A)


(7,7)


B)


(7,–8)


C)


(–8,–6)


D)


(–8,–7)

Answers

Answer:

The answer is negative 8 and negative 7

HELLLLLLLLLLLLLPPPPPPPPPPPPP please

Answers

It’s 4 2/3 in Mixed number and 14/3 in exact form.

isolate the variable on the following problem. show your work.

3a+3=6​

Answers

Answer:

3a=6-3

Step-by-step explanation:

if you have the equation 3a + 3 = 6, you have to move 3 to the other side of the equation to isolate it. To do this, you subtract 3 from both sides giving you 3a=6-3

Hope this helped

What’s the algebraic expression for 9,12,1518

Answers

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

what is 3/4 x 2 5/6 please help me

Answers

Answer:

2 1/8

Step-by-step explanation:

Here are 36 carpenters on a construction crew. On a certain day, 29 carpenters were present. Which proportion can be used to determine the percent of carpenters that were present?

Answers

Answer:

80.6%

Step-by-step explanation:

Given that :

Total construction crew = 36

Number present in a certain day = 29

Percentage present on that day :

(Number present / total number) * 100%

(29 / 36) * 100%

0.8055555 * 100%

80.555%

= 80.6%

Match each number with its place in order from smallest (1st) to largest (6th).

1. 6th
-84
2. 4th
-80
3. 3rd
90
4. 1st
-56
5. 2nd
48
6. 5th
59
can anyone help me with this please

Answers

90 would be the largest then 59,48, -56, -80, and leaving -84 to be the smallest

Please can someone Help???

Answers

Answer:

Step-by-step explanation:

3). Definition of Congruent Angles

4). Substitution Property of Equality

5). 6x + 14 - 4x = 34 + 4x - 4x    Subtraction Property of Equality

6). 2x + 14 - 14 = 34 - 14   Subtraction Property of Equality

7). x = 10        Division Property of Equality

8). 6(10) + 14 = 74   Substitution Property of Equality

9). 34 + 4(10) = 74   Substitution Property of Equality

10). Angle addition Postulate

11). Substitution Property of Equality


a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?

Answers

The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2. The point (2, 1) lies on th line 3y = 2x - 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2

Given the equation:

3y = 2x - 1

When x = 2:

3y = 2(2) - 1

y = 1

The point (2, 1) lies on th line 3y = 2x - 1

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The nth term of a sequence is 3−2n

Work out the 8th term of the sequence

Answers

Answer:

-13

Step-by-step explanation:

3-2n

3-2×8

3-16

-13

Help plz someone help me plz ty

Answers

Answer: 18.75 for each girl

Step-by-step explanation:

First you take the unit rate 2.50 multiply by 5.

2.50 x 5 = 12.50

12.50 x 3 = 37.50

37.50 / 2 = 18.75

The equation of a horizontal line through (5,2) in slope-intercept form ?

Answers

Answer:

y=2 is the correct answer:)

Step-by-step explanation:

Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity. Her profit at the end of this week can be represented by -$25. Write a subtraction expression and an addition expression to represent Alana’s total profit for two weeks combined.

Answers

Answer:

$65 + $(-25) = $40

$65 - $25 = $40

Step-by-step explanation:

Profit made last week = $65

Profit made this week = - $25

Addition expression for her profit over the two weeks

Last week profit + this week's profit:

$65 + $(-25) = $40

Subtraction expression for her profit over the two weeks :

$65 - $25 = $40

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