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A circle's diameter is 8 centimeters.
What is the circle's area (use 3.14 for pi and round to the nearest
tenth)?

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:

the answer to the question is 3m8n = 13

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: 68 degrees

Step-by-step explanation:

Answer:

8x+24

Step-by-step explanation:

(x+5)²-(x+1)²

x²+10x+25-(x²+2x+1)

x²+10x+25-x²-2x-1

8x+24

Hence the required equation is 8x+24 or 8(x+3)

Answer:

area should be (pi)r^2

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.

The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.

The trinomial given in the problem is,

[tex]x^2 +bx - c[/tex]

This trinomial has factors of,

[tex](x +m)(x - n),[/tex]

Where m, n, and b are positive.

If this factors multiply by each other, we get,

[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]

Compare it with the trinomial, we get,

[tex]b=(m+n)[/tex]

Which is the sum of the terms,

[tex]c=nm[/tex]

Which is the product of the terms.

Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.

Learn more about the trinomial here;

https://brainly.com/question/1538726

Answer:

hola no sé qué decirte no se Inglés

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:

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:

x = 1/2

Step-by-step explanation:

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

7 + x = 9x + 3

8x = 4

x = 1/2

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:

Students will usually not want their name written because they believe it is humiliating.

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

Hope that helps!

Answer:

~29.99

Step-by-step explanation:

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:

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:

C. 5 1/2

Step-by-step explanation:

Hope this helps!

Have a blessed day!!

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:

267

Step-by-step explanation:

We are given the expression:  6 (d - f) +f

The value of the expression when d= 47 and f = 3 is :

6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267

=267

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The standard absolute value function is found as;

[tex]\rm f(x) = a|x - h| + k[/tex]

Where,

(h, k) denotes to the vertex

h is the vertex of the x-coordinate

k is the y-coordinate of the vertex

By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;

[tex]\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6[/tex]

The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are  functions have a vertex with a x-value of 0.

Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

A, B, D

Step-by-step explanation:

Answer:

The right answer is G. 9

Step-by-step explanation:

(11y-36)° = 63°

11y = 63 + 36

y = 99 ÷ 11 = 9

y = 9

gagu kaba de charot labyu..

ito formula pala makuha interest,

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

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°

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.