Please help I am very confused!

Answer:

18√6

Step-by-step explanation:

From Pythagoras theorem,

b^2 + p^2=h^2

or, 1^2 + p^2 = 5^2

or, p^2=25 - 1

or, p=√24

or, p=2√6 (√24 = √4*√6

= 2*√6

= 2√6)

Again,

we know,

Area of parallelogram (A) = bash*height

=9*2√6

=18√6

Answer:

7y

Step-by-step explanation:

GCF for 21xy+14y is: 7y

because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,

so 7y.

Check:

7y(3x+2)

7y*3x + 7y*2

21yx + 14y

true

Answer:

15 groups would be made.

Explanation:

150 divided by 10 = 15

Answer:

area should be (pi)r^2

Step-by-step explanation:

such problems are always the combination of areas of simple figures.

in our case here the simplest way seems to me to calculate the area of the whole 15×15 square (the side lengths are 15 and 9+6 = 15) and then subtract the small 6×6 square (top left), the small 6×3 triangle (bottom right) and the larger 6×9 triangle (top right).

we know that the left side of the main square is 9+6 = 15.

we know that the missing side piece (top right) is also 6 (like its left side). and the right side piece is 15-6-6 = 3.

that is how we know the side lengths of the missing pieces.

so,

15×15 = 225 cm²

the small square is

6×6 = 36 cm²

the large triangle is

6×9/2 = 3×9 = 27 cm²

the small triangle is

6×3/2 = 3×3 = 9 cm²

so, the total area of the figure is

225 - 36 - 27 - 9 = 153 cm²

Answer:

The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.

cake

Answer:

Step-by-step explanation:

3(x² - y²) = 3(x + y)(x -y)

x² - 2xy + y² = (x - y)²

LCM = 3(x + y)(x - y)²

Answer:

5

Step-by-step explanation:

Cross multiply

8n = 40

N = 5

Answer:

n= 5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/10-(4/n)=0
2. Simplify 4/n = after that the equation will be 8/10 - 4/n = 0

3. Simplify 4/5 = after that the equation will be 4/5 - 4/n = 0

Answer:

x = 1/2

Step-by-step explanation:

7 + x = 3*3x + 3*1

7 + x = 9x + 3

8x = 4

x = 1/2

Answer:

C. 5 1/2

Step-by-step explanation:

Hope this helps!

Have a blessed day!!

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!

Answer:

67.20$

Step-by-step explanation:

multiply 56 by 1.2

Answer:

$67.2

Step-by-step explanation:

Given:

∴ Equation: Price + Tip = Total

Simplify the equation to obtain the total:

Convert the expression in the parenthesis into decimals:

Open the parenthesis and simplify:

Faith will pay (including the tip) $67.2.

Answer:

hola no sé qué decirte no se Inglés

Answer:

Use Substitution.

Plug in 2x-3 in place of y in the second equation.

4x - 3(2x-3) = 31

4x - 6x + 9 =31

           -9     -9

-----------------------

-2x=22 so x=-11

Then, y=2(-11)-3, so y=-25

So the solution would be (-11,-25).

Step-by-step explanation:

is the variable alone?

No

what is it attached to?

you always do adding or subtracting first so it is attached to 3

How is it attached?

by subtraction

what is the inverse operation?

it is addition

then all you do is the same thing but with multiplication or division

Hi!

We can solve this using the substitution method.

Given:

[tex]y=2x-3\\4x-3y=31[/tex]

Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:

[tex]4x-3(2x-3)=31[/tex]

Now, we can algebraically solve this for [tex]y[/tex]

[tex]4x-3(2x-3)=31[/tex]

Distribute.

[tex]4x-6x+9=31[/tex]

Add like terms.

[tex]-2x+9=31[/tex]

Subtract [tex]9[/tex] from both sides.

[tex]-2x=22[/tex]

Divide both sides by [tex]-2[/tex]

[tex]x=-11[/tex]

Now plug in that value to the first equation:

[tex]y=2(-11)-3[/tex]

Multiply.

[tex]y=-22-3[/tex]

Subtract.

[tex]y=-25[/tex]

The solution is (-11, -25)

Answer:

what kind of term is this

Step-by-step explanation:

Answer: 68 degrees

Step-by-step explanation:

Answer:

31.81%

10.60% per hour

Step-by-step explanation:

88 - 60 = 28

28/88 = .31818181818

.31818181818 = 31.81%

.31818181818/3 = .10606060606

.10606060606 = 10.60%

Answer:

=> 2 × 2 = 4

Step-by-step explanation:

two times two is four

Answer:

2x1=1

2x2=4

so the answer is 4

Step-by-step explanation:

Let's solve your system by substitution.

2x−2y=−4;2x+y=11

Rewrite equations:

2x+y=11;2x−2y=−4

Step: Solve2x+y=11for y:

2x+y=11

2x+y+−2x=11+−2x(Add -2x to both sides)

y=−2x+11

Step: Substitute−2x+11foryin2x−2y=−4:

2x−2y=−4

2x−2(−2x+11)=−4

6x−22=−4(Simplify both sides of the equation)

6x−22+22=−4+22(Add 22 to both sides)

6x=18

6x/6 = 18/6

(Divide both sides by 6)

x=3

Step: Substitute3forxiny=−2x+11:

y=−2x+11

y=(−2)(3)+11

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer: d, the diameter, is about 36.92 units

Step-by-step explanation:

         The c value is the circumference and we are being asked to solve for the diameter.

         We can take the value they give for the circumference, plug it into the circumference formula, and solve for d. Please note that the diameter is two times the radius, or r, so at the end I will multiply r by two.

C = 2πr

(116) = 2πr

18.46 ≈ r

r ≈ 18.46

-

18.46 * 2 = 36.92

     The missing measure is about 36.92 units.

Answer:

The right answer is G. 9

Step-by-step explanation:

(11y-36)° = 63°

11y = 63 + 36

y = 99 ÷ 11 = 9

y = 9

Answer:

-1n-10

Step-by-step explanation:

EXPLANATION:

Use PEMDAS it will show u from where to start first and you will end up with the right result

PEMDAS : Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

2(-3n-5) + 5n

distribute 2 in the parantheses

-6n-10+5n

-1n-10

Answer:

L =      [tex]\sqrt{113}[/tex] +4

W =     [tex]\sqrt{113}[/tex] -4

or L = 14.63 ft, and W = 6.63 ft

Step-by-step explanation:

Let L be the length and W the width.

We are told that the "length of a rectangle is 8 feet more than its width:"

L = W+8

Area of the rectangle is given by L*W, and is 97 [tex]ft^{2}[/tex]

L*W = 97

Substituting L=W+8, we get:

(W+8)W=97  [tex]ft^{2}[/tex]

[tex]W^{2}[/tex] + 8W = 97

[tex]W^{2}[/tex] + 8W - 97 = 0

The roots to this equation are:

Only the second gives a positive value, so W = [tex]\sqrt{113}[/tex] -4

Since L=W+8, the length, L, is  [tex]\sqrt{113}[/tex] -4 + 8 or  [tex]\sqrt{113}[/tex] +4

In decimal:

L = 14.63 ft, and W = 6.63 ft

Answer:

~29.99

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Finding m∠HCG

Finding m∡DF

Answer:

m∠HCG = 45°

m∡DF = 105°

Step-by-step explanation:

  m∠ECD + m∠ECF + m∠FCG

= 45° + 60° + 75°

= 180°

As angles on a straight line always sum to 180°, we can conclude that the line DG is a straight line and the diameter of the circle, and the Point C is the center of the circle.

Assuming that line EH is also a straight line, using the vertical angles are always congruent theorem, m∠ECD = m∠HCG.  

Therefore,  m∠HCG = 45°

We always measure arcs in a counterclockwise direction.

⇒ m∡DF = m∡DE + m∡EF

               = 45° + 60°

               = 105°