Factor the quadratic expression completely.

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation:

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

thanks for ask question.

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

∵ DE = 6x - 12 and GF = 2x + 36

→ Equate them

∴ 6x - 12 = 2x + 36

→ Subtract 2x from both sides

∵ 6x - 2x - 12 = 2x - 2x + 36

∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

∴ 4x = 48

→ Divide both sides by 4

∴ x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

∴ 6y - 42 = 4y

→ Add 42 to both sides

∵ 6y - 42 + 42 = 4y + 42

∴ 6y = 4y + 42

→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

∴ y = 21

∴ The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:

Salary after 10 years: 73000

Salary after t years: 1500t+58000

Step-by-step explanation:

Answer: 0.44

Step-by-step explanation:

Don't know what you mean

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

Answer:

A is the answer

Step-by-step explanation:

I think

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

Answer:

5x

Step-by-step explanation:

Answer:

answer is 42 in²

:-)))

....

Answer:

63 it's the closest

Step-by-step explanation:

Answer:

the answer is 21 π

Step-by-step explanation:

[tex]V= \pi r^{2} \frac{h}{3}[/tex]

r=3

h=7

7/3 x 3^2 = 21

=21π

Answer:

A.

Step-by-step explanation:

Combine 7 and -3 to get 4

4+7xy is the answer

Answer:

Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy

Step-by-step explanation:

Answer:

It equals 3

Step-by-step explanation:

To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.

Answer: 13

Step-by-step explanation:

13 times 13 is 169!

Good luck!

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

Answer:

5.50 this should help :p

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

Answer:

y=0x - 4

Step-by-step explanation:

perpendicular to the y-axis means parallel to the x-axis.

that would be a horizontal line and they have no slope. so m=0

(0, -4) is the y-intercept since the y intercept is when x is zero.

b=-4

y=mx+b

y=0x - 4

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

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.

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 data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

To learn more about equation click :

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Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]