CAN SOMEONE PLEASE HELP ME!!!

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

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Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,

Step-by-step explanation:

= 25 a²- ( 4b²- 28bc +49c²)

=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}

= 25a²- { (2b - 7c)²}

= (5a)²- (2b -7c)²

= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}

= ( 5a - 2b +7c) ( 5a +2b - 7c)

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Answer:

5 and 5/13

Step-by-step explanation:

What is the length of the side opposite ∠D?

✔ 5

units

sin(D) =

✔ 5/13

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

Answer:

2

Step-by-step explanation:

√(-8-8)^2 +(10+4)^2=

✓-32+28

✓4

=2

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

⇒1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

what

Step-by-step explanation:

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Step-by-step explanation:

step 1. (x^2 + 14x + 49) + 15

step 2. (x + 7)^2 + 15.

Answer:

i think its the 3rd option

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

Answer:

log h 9 + log h j +log h k

Step-by-step explanation:

i got it right on edg

Answer:

it is B for all u speed run edge people

Step-by-step explanation:

big luck in life

Answer:

d. table A and graph A

Step-by-step explanation:

y=3x

y = 3X is represented by graph B .

y = 3X is represented by table A .

Hence option C is correct .

Given, Equation : y = 3X

Now, to get the values of y substitute x.

Firstly table A:

y = 3X

x = 1 : y = 3

x = 2 : y = 6

x = 3 : y = 9

Thus table A represents the equation .

Next graph B :

Starting point of graph B is origin.

Coordinates of origin : (0,0)

Equation of graph B : y = 3X

Thus graph B represents the equation .

Therefore option C is correct .

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Answer:

z=95

Step-by-step explanation:

z-28=67

 +28  +28

x=95

all you have to do is make both side of the eqaution balanced

if you add 28 to one side you do it to the other side as well

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angles.

Complementary angles sum up together to become 90°.

Supplementary Angles sum up together to become 180°.

hence,

1.) Ans ==>Angle ABC and Angle NMP

2.) Ans ==> angle ABC and angle EFG

Answer:

We conclude that the value of k represented as a decimal rounded to the nearest tenth is:  [tex]k = 16.8[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

Apply cross-function multiply:   if [tex]\frac{a}{b}=\frac{c}{d}[/tex]  then [tex]a\cdot \:d=b\cdot \:c[/tex]

[tex]5k=7\cdot \:12[/tex]

[tex]5k=84[/tex]          ∵ 7 · 12= 84

Divide both sides by 5

[tex]\frac{5k}{5}=\frac{84}{5}[/tex]

Simplify

[tex]k=\frac{84}{5}[/tex]

[tex]k = 16.8[/tex]    (Rounded to the nearest 0.1 or  the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is:   [tex]k = 16.8[/tex]

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Answer:Kirk is taller than Joey by 8 inches

Step-by-step explanation:

Step 1

Kirk's height is given as  =5 feet 4 inches tall.

Joey's  height 4 feet 8 inches tall

Difference in height = 5 feet 4 inches

                                    - 4 feet   8 inches

                                 =

Step 2

Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet,  which is equivalent to 12 inches and add to inches  so it becomes

4 feet  (12+4)inches     =                   4 feet     16inches

- 4 feet   8 inches                             - 4 feet   8 inches

                                                     =                   8 inches

Therefore Kirk is taller than Joey by 8 inches

Answer:

5(x)+5(y)=10

10(x)+2(y)=12

Step-by-step explanation:

i just got done with that same thing

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

Answer:

(-1, -3)

Step-by-step explanation:

What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?

Using the coordinate point (-1, 3)

If x = -1 and y = 3

Substitute into the expressions and check if they are true

2x - 7y >5

= 2(-1)-7(-3)

= -2 + 21

= 19

Since 19 is greater than 5, hence the inequality 19 > 5 is true

Substituting into 3x - y < 4

3(-1)-(-3)

= -3 + 3

= 0

Since 0 < 4, hence this is also true for the inequality.

The coordinate point that satisfies the inequality is therefore (-1, -3)