A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is the length?

Answer:

[tex] Slope (m) = -\frac{3}{4} [/tex]

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

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

Where,

[tex] (-2, 5) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the value into the slope formula:

[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]

[tex] Slope (m) = -\frac{3}{4} [/tex]

Answer:

-13

Step-by-step explanation:

If a = -7 and y = 3, then all we have to do is plug in the given values to the expression we were given!

-2(3) + (-7)

-6 - 7

-13

Answer:

Step-by-step explanation:

-2(3)+-7

-6+(-7)

-13

Answer:

12

Step-by-step explanation:

i took the test

Answer:

[tex]\displaystyle y=\frac{16-9x^3}{2x^3 - 3}[/tex]

[tex]\displaystyle y=-\frac{56}{13}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}[/tex]

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

[tex]\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3[/tex]

Simplify the radical with the cube:

[tex]\displaystyle x^3=\frac{3y+16}{2y+9}[/tex]

Multiply by 2y+9

[tex]\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)[/tex]

Simplify:

[tex]\displaystyle x^3(2y+9)=3y+16[/tex]

Operate the parentheses:

[tex]\displaystyle x^3(2y)+x^3(9)=3y+16[/tex]

[tex]\displaystyle 2x^3y+9x^3=3y+16[/tex]

Subtract 3y and [tex]9x^3[/tex]:

[tex]\displaystyle 2x^3y - 3y=16-9x^3[/tex]

Factor y out of the left side:

[tex]\displaystyle y(2x^3 - 3)=16-9x^3[/tex]

Divide by [tex]2x^3 - 3[/tex]:

[tex]\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}[/tex]

ii) To find y when x=2, substitute:

[tex]\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}[/tex]

[tex]\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}[/tex]

[tex]\displaystyle y=\frac{16-72}{16- 3}[/tex]

[tex]\displaystyle y=\frac{-56}{13}[/tex]

[tex]\mathbf{\displaystyle y=-\frac{56}{13}}[/tex]

Answer:

[tex]x\geq 6\text{ or } x<-3[/tex]

Step-by-step explanation:

We have the compound inequality:

[tex]2(x-1)\geq10\text{ or } 3-4x>15[/tex]

Let's solve each of them individually first:

We have:

[tex]2(x-1)\geq10[/tex]

Divide both sides by 2:

[tex]x-1\geq5[/tex]

Add 1 to both sides:

[tex]x\geq6[/tex]

We have:

[tex]3-4x>15[/tex]

Subtract from both sides:

[tex]-4x>12[/tex]

Divide both sides by -4:  

[tex]x<-3[/tex]

Hence, our solution set is:

[tex]x\geq 6\text{ or } x<-3[/tex]

Answer:

x ≥ 6 or x < -3

Step-by-step explanation:

2(x-1) ≥ 10 or 3 - 4x > 15

2x - 2 ≥ 10 4x < -12

x ≥ 6 or x < -3

Topic: Inequalities

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer for #5:

7 friends

Step-by-step explanation:

convert fraction into 4ths:

1/4, 2/4, 3/4, 1/4

add together:

7/4ths

if each friend ate 1/4 of the pizzas, then there are 7 friends

Answer

Step-by-step explanation:

Answer:

32 feet

Step-by-step explanation:

6 = 8

24 = ?

24 × 8 = 197

197 ÷ 6 = 32.

Answer:

32 feet

Step-by-step explanation:

ratio 6:8 simplified is 3:4

[tex]\frac{3}{4}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{24}{32}[/tex]

32 Feet

Answer:



5

camjoyner9316

04/30/2020

Mathematics

High School

answered

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children.

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Answer

3.0/5

31

wagonbelleville

Ambitious

4.3K answers

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Answer:

$225 = $15 a + $ 10 c

Given,

Total price = $225

Cost of concert ticket for adults= $15

Cost of concert ticket for children = $10

System of equation to represent scenario

a is variable for adult

c is variable for children

Now,

Total price =  $15 a + $ 10 c

$225 = $15 a + $ 10 c

Answer:

I believe that It would be L.

Answer:

4960 miles

Step-by-step explanation:

Answer:

11x^2-11x+4

Step-by-step explanation:

(6x ^ 2 - x + 3)-( - 5x ^ 2 + 10x - 1 )

6x^2-x+3+5x^2-10x+1

11x^2-11x+4

So the answer is 11x^2-11x+4

Answer: 17.25

Step-by-step explanation:

Answer:

Vertex:  (−2,7)

Step-by-step explanation:

May I have brainliest please? :)

Please refer the attached pictures.

Hope this helps! :D

Answer:

See below

Step-by-step explanation:

a)

b)

c)

d)

e)

f)

1.2m - 0.2 = 3.8 + m

g)

Given:

Scale factor is [tex]\dfrac{1}{144}[/tex].

Length of wingspan of the airplane = 1152 inches

To find:

The length of wingspan of the model airplane.

Solution:

Scale factor is [tex]\dfrac{1}{144}[/tex]. It means,

1 inches of airplane [tex]=\dfrac{1}{144}[/tex] inches of model airplane.

1152 inches of airplane [tex]=1152\times \dfrac{1}{144}[/tex] inches of model airplane

                                       [tex]=8[/tex] inches of model airplane

Therefore, the length of wingspan of the model airplane is 8 inches.

Answer:

The required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Step-by-step explanation:

The volume of a pyramid is given as

[tex]V = \frac{1}{3} \times A \times h[/tex]

Where V is the pot's volume, A is the base area and h is the height.

Our base is a square, so the base area, if s denotes the side length, would be s x s.

s = 36cm, therefore we have A = 36cm X 36cm = 1296cm².

The height is given as 36cm, therefore we have our volume to be:

[tex]V = \frac{1}{3} \times 1296cm^2 \times 36cm[/tex]

[tex]V = 15552cm^3[/tex]

Since Luis wants to fill 75% of the pot's volume with soil. Then it will take

[tex]\frac{75}{100} \times 15552cm^3 = 11664cm^3 [/tex]

Thus, the required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Answer:

-9=b

Step-by-step explanation:

1. combine multiple turns into a single fraction.

2. multiple all terms by the same value to eliminate

fraction denominators.

3. simplify

4. divide both sides of the equation by the same term

5. simplify

Answer: y = -2x

M is the midpoint of PQ

=> M(0;0)

the line PQ passes through P(2;1) and Q(-2;-1)

=> (PQ): 2x - 4y = 0

have:

(d): perpendicular (PQ)

     passes throgh M(0;0)

=> (d): 4x + 2y = 0 ⇔ y = -2x

Step-by-step explanation:

The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point P has coordinates (2, 1) and the point Q has coordinates(-2, -1).

Hence, The slope of line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (- 2 - 2)

m = - 2 / - 4

m = 1/2

Thus, The slope of perpendicular line is,

⇒ m = - 2

The midpoint of coordinates (2, 1) and (- 2, - 1) is,

⇒ (- 1 + 1) / 2 , (- 2 + 2) / 2

⇒ (0, 0)

Hence, The equation of line is,

⇒ y = mx + b

⇒ 0 = - 2 × 0 + b

⇒ b = 0

Hence, The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

Bestieeeeeeeeeeeeee we need to talk

Step-by-step explanation:

Pleaseeeee its   important

Answer:

B. 2

Hope this helps!

Step-by-step explanation:

The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.

Reciprocal is reversing the given fraction.

1. Would be 8/3

2. 2 2/3 as in improper fraction is 8/3, reciprocal would be 3/8

3. -3/8 x 8/3 = -24/24 = -1

4. 3/8 / -8/3 =3/8 x -3/8 = -9/64

5. - 8/3 - -3/8 = -8/3 + 3/8 = -2 7/24

6. Only answer left: 2 7/24

Answer:a

Step-by-step explanation:hhehenndherndur

Answer:

A) -3/4

B) 1/4

Step-by-step explanation:

A) m = y2-y1 / x2-x1

B) rise / run

Hope this helps. Pls give brainliest.

Answer:

272/-13 or −20.923

Step-by-step explanation:

To solve this equation you need to isolate the variable.

First, add 71 to both sides

-13x-71+71=201+71

-13x=272

Then, divide both sides by -13

-13x/-13=272/-13

So, x=272/-13 or −20.923

Answer

$7

Step-by-step explanation:

10-8= 2

9-2=7