Factor perfect square binomial
9x^2+ 24x +16

Answers

Answer 1

Answer:

(3x + 4)(3x + 4)

Step-by-step explanation:

[tex]9x^2+ 24x +16 \\ \\ = 9x^2+ 12x + 12x +16 \\ \\ = 3x(3x + 4) + 4(3x + 4) \\ \\ = (3x + 4)(3x + 4)[/tex]


Related Questions

6. Quadrilateral ABCD has vertices at A(0,6), B(4, -1), C(-4,0) and D(-8,7). Prove that:

(a) ABCD is a rhombus using the distance formula

Answers

Step-by-step explanation:

AB = sqrt((4-0)^2 + (6-(-1))^2) = sqrt(16+49)=sqrt(65)

CD=sqrt((-8-(-4))^2 + (0-7)^2) = sqrt(49+16)=sqrt(65)

Therefore, sides AB and CD are congruent because they have the same measure.

BC = sqrt((4-(-4)^2 + (-1-0)^2) = sqrt(64+1)=sqrt(65)

AD=sqrt((0-(-8))^2 + (7-6)^2) = sqrt(64+1)=sqrt(65)

Therefore, sides BC and AD were congruent because they have the same measure.

This means ABCD is a parallelogram because there are two pairs of opposite congruent sides.

Now, notice that AB=BC, meaning sides AB and BC are congruent.

This means that parallelogram ABCD has one pair of consecutive congruent sides, and is thus a rhombus.

What is the slope of the line that passes through the points (6,-8) and (6,-3)?
Write your answer in simplest form.

Answers

Given:-

[tex] \: \: [/tex]

The slope of the line that passes through the points (6, -8) and (6, -3)

[tex] \: \: [/tex]

[tex] \rm \: Let's \: x_1 = 6 , \: y_1= -8 \: and \: \: x_2 = 6 , \: y_2 = -3 [/tex]

[tex] \: \: [/tex]

[tex] = \sf \large \frac{(y_2 - y_1 )}{(x_2 - x_1) } [/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: = \frac{ -3 \: + \:8}{6 \: - \:6} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large = \frac{ - 5}{0} [/tex]

[tex] \: \: [/tex]

[tex] \sf \large = \infty [/tex]

[tex] \: \: [/tex]

Slop is undefined

[tex] \: \: [/tex]

Hope Helps! :)

Two similar rectangles have a scale factor of 2. What is the ratio of their areas?

Answers

Answer:

Step-by-step explanation:

If the polygons are similar, this means that the ratio of their corresponding sides are equal. This ratio is what we commonly refer to as the scale factor. The ratio of the area of similar polygons is equal to the SQUARE of SCALE FACTOR. For this item since the scale factor is 2, the ratio of the areas is equal to 4.

Please Solveeeeeeeee and make sure your correct

Answers

Answer:

Step-by-step explanation:

For A it's the first and the last.

For B it's the last

Let me know if this helped. Brainliest is appreciated <3

What is the approximate area of the shaded region? Use 3.14 for pi.
A. 33.14 square inches
B. 26.86 square inches
C. 28.43 square inches
D. 29 square inches​

Answers

hmmm if we take the whole area of the rectangle, well the rectangle is a 6x5, so the whole of its area is 6*5 = 30 in².

now, we have a circle inside, it really doesn't matter if it's in the center or corner so long is inside, hmmm well, we know it has a radius of 1, so let's get the area of the circle, and then subtract that area from that of the whole rectangle, by subtracting it we're in essence making a whole in the rectangle's area and what's leftover is the shaded region, that part that was not subtracted.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(6)(5)}~~ - ~~\stackrel{circle}{\pi (1)^2}}\implies 30~~ - ~~\pi \implies 30~~ - ~~3.14\implies 26.86[/tex]

At a different store, a dressmaker spent $16.45 on 2.5 yards of silk and cotton. Write the system of equations that represents this situation. You do not have to solve it, just write the equations.

Answers

Answer:

Step-by-step explanation:

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

TUESDAY
SOLVE FOR X
8X5°
55°
(S.x - 25)
3x + 8°
X=

Answers

right angle x = 7 line x = 30

a right triangle has one angle that measures 80° . what is the measures of the other acute angle?

Answers

Answer:

10°

Step-by-step explanation:

Since 90° makes a right angle, you do 90-80, to get 10.

Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” How can Dakota know for sure that Eva’s solution is incorrect?

Please help my mom is gonna be mad at me if i can't get this question right

Answers

since (3/2) is in parentheses with the x, you have to isolate it. Divide 4 on both sides and then you can take away the parentheses. Then solve

x = 1/2

3. The sum of two numbers 49. The difference of the two numbers is 15. What is the product of the two numbers?
A. 17
B. 32
C. 255
D. 544

Answers

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

sum of two numbers 49 -->  a + b = 49difference of the two numbers is 15 --> a -b =15

Equations

 a + b = 49 -- equation 1

 a - b = 15 -- equation 2

Solve:

 (equation 1) + (equation 2)

    2a = 64

      a = 32 -- equation 3

 (equation 3)'s value of a into (equation 2)

  32 - b = 15

    b = 17

The products of 'a' and 'b' is 544

Hope that helps!

 

i do not know this answer

Answers

Answer:

9,-2

Step-by-step explanation:

sorry if im wrong

I don't know what to choose​

Answers

Well the one your choosing is wrong but go with your instincts. And I swear 7th grade online is hard so I recommend going back in person

50 POINTSSSSSS PLS HELP ME ITS MATHHHHHH

dont take my points i really need this done

Answers

Answer:

1a: 1,000,000

2a: 1

3a: 6

4a: 0

5a: 1

6a: 1

7a: 9

1b: 1

2b: 1

3b: 1

4b: 1

5b: 1

6b:49

7b: 1

Step-by-step explanation:

Answer:

1a. 1,000,000

1b. 1

2a. 1

2b. 1

3a. 6

3b. 1

4a. 0

4b. 1

5a. 1

5b. 1

6a. 1

6b. 49

7a. 9

7b. 1

Step-by-step explanation:

1a:

100 x 100 x 10010000001,000,000

1b:

any number to the power of 0 = 1

2a:

any number to the power of 0 = 1

2b:

any number to the power of 0 = 1

3a:

6 x 1 = 6

3b:

any number to the power of 0 = 1

4a:

0 to the power of any number = 0

4b:

any number to the power of 0 = 1

5a:

1 to the power of any number = 1

5b:

any number to the power of 0 = 1

6a:

1 to the power of any number = 1

6b:

7 x 749

7a:

9 x 1 = 9

7b:

any number to the power of 0 = 1

A banner is made of 8 equel parts five of the parts are green three of the parts are yellow

Answers

Your question is...?

Find the equation of the line in standard form that passes through J(7, 2) and is perpendicular to 5x+3y -8 =0

Answers

4) The gravitational field strength at the surface of planet Zelensky is 30 N kg:' and the radius of Zelensky is
a) Calculate the mass of planet Z.
X=23+5 I know this the answer because I just did the work sheet

another i need help bad

Answers

Answer:

[tex] - \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{2} + \frac{1}{3} = - \frac{1}{6} [/tex]

What is the volume of the shape?

Answers

Answer:Volume

Quantity of three-dimensional space

Step-by-step explanation:
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre

The graph below could be the graph of which exponential function?

A. F(x) = 3 • (1.2)^x
B. F(x) = 3 • (0.2)^x
C. F(x) = 3^x
D. F(x) = 3 • (-1.2)^x

Answers

A. Now you could just use desmos and get the graph. But to explain it quickly, find points
First we know it cannot be 3*(-1.2)^x because it would be heading down not up. Then solve for x=0
We know for c 3^0 = 1 so (0,1) but that’s clearly not on the graph in fact the x int is 3 (0,3) so it must be A or B.
Now solve another easy point, where X = 1
Cause that’s just itself , so apply it to A and B
A: (1,3.6)
B: (1,0.6)
And clearly the graph increases in y as x increases. So it must be A.
See graph below:

Find the quotient and remainder of x^6-3x^5+x^4-2x^2-5x+6; x^2+2

Answers

Answer:

Refer to the pic

Step-by-step explanation:

What is the measure of ∠A in the image below?

Answers

Not letting me add answer mentioned forbidden words

Refer to the attachment


David is a salesperson. He sold an aquarium for $88 and earned 10% commission. How
much commission did David earn?

Answers

Answer:

[tex] \frac{10}{100} \times 88 = 8.8 [/tex]

Step-by-step explanation:

you divide the 10 percent by 100 percent

because parentage is always out of 100 percent

And multiply buy the amount given

Jess used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24 cookies. If Jess follows the same recipe, how many cookies can she make with 16 1/2 cups of flour.

Answers

Answer:

72

Step-by-step explanation:

3 1/2 = 3.5

16 1/2 =  16.5

16.5/3.5 = 4.71428571429

round down because she can't make like 7/10 of a cookie

please show your work using quadratic form​

Answers

Answer:

3(x²−4x+7)

Step-by-step explanation:

Factor 3x2−12x+21

3x2−12x+21

=3(x ²−4x+7)

Do not understand 3 and 4

Answers

Step-by-step explanation:

please mark me as as pleaseWhen two lines intersect, the opposite (X) angles are equal. In the diagram above, the two green angles are equal and the two yellow angles are equal. These X angles are called vertically opposite angles because they are opposite each other at a vertex.

Convert to a mixed number and simplify: 83 over 6

Answers

Answer:

[tex]13\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{60}{6}=10[/tex] (low estimate to make later estimates easier)
[tex]10+\frac{24}{6} =14[/tex] (high estimate, must make lower)
[tex]14*6\neq 83[/tex] (incorrect estimate)

[tex]84-83=1[/tex] (correcting estimate)

[tex]14-\frac{1}{6} =13\frac{5}{6}[/tex] (corrected estimate)

Calculator
What is the volume of this sphere?
9 m

Answers

Answer:

The volume of a sphere is equal to 43 times Pi π times the radius cubed. Substitute the value of the radius r=9 into the formula to find the volume of the sphere. Pi π is approximately equal to 3.14

I am not sure though

HELP!!! Pls!!! ( Don't look it Up pls, And If you do look it up, Tell me the app pls, THX!)
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▔╱┊┈╱▕╲▂▂▂▂▂▂╱
╱┊┈╱┉▕┉┋╲┈ ​

Answers

It should be 6(3m-2) If solved it will come out to 18m-12 which is equivalent to the answer given in the question
The answer is 6 (3 m - 2

factorize x²+4xy-3+4y²


please explain it too​

Answers

Answer:

[tex]\huge\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

Step-by-step explanation:

[tex]x ^ { 2 } +4xy-3+4y ^ { 2 }[/tex]

Rearrange the terms.

[tex]x ^ { 2 } +4xy+4y ^ { 2 } - 3[/tex]

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

[tex](x + 2y)^{2} - 3[/tex]

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

[tex]\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

[tex]\rule{150}{2}[/tex]

What is the reflection of Point D?

(3, -2)

(-3, -2)

(-3, 2)

(3, 2)

Answers

Answer:

3,2 i think but I could be wrong

Step-by-step explanation:

PLEASE HELP ME!!!! THIS IS DUE SOON!

In this module we reviewed finding the GCF of numbers and then finding the GCF of monomials. Below is an example of this work. Which statement best explains the similarities between the two methods?



Group of answer choices

When looking for common factors, we circle terms not in common between factors

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

There are no similarities between finding the GCF of monomials and the GCF of numbers.

When looking for common factors, we use factor trees to determine the common factor and then dividing prime factors to get the GCF.

Answers

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

Step-by-step explanation:

The picture shows the choice that is being used to find the GCF.

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

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