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3 years ago

(01.05) What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

1 answer:

6 0

Slope of the line= $\frac{change in y}{change in y}$
m= $\frac{8-0}{2--2}$
m=8/4=2
y=2x+c
Replacing for x and y using point (-2, 0)
0=2(-2)+c
0=-4+c
c=4
y=2x+4

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Solve 5n + 6 = -3n - 10

Verizon [17]

Hi there! :)

Answer:

$\huge\boxed{n = -2}$

5n + 6 = -3n - 10

Solve for n:

Add 3n to both sides:

5n + 3n + 6 = -3n + 3n - 10

8n + 6 = -10

Subtract 6 from both sides:

8n + 6 - 6 = -10 - 6

8n = -16

Divide both sides by 8:

8n/8 = -16/8

n = -2.

3 0

3 years ago

Read 2 more answers

7x + 2y=24 8x + 2y=30

Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

Layer the equations on each other as you would in a subtraction problem:

8x + 2y=30

7x + 2y=24

Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

42+2y=24 then

2y=-18 then

y=-9

Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

3 0

3 years ago

60 students study a language at a school.

mixas84 [53]

The number of girls is 24.
The number of boys that study French is 24.
The numbber of boys that study German is 12.
The number of girls that study French is 16
The number of girls that study German is 8.

<h3>How to fill the frequency tree?</h3>

The number of girls = total number of students - total number of boys

60 - 36 = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

Please find attached the frequency tree. To learn more about addition, please check: brainly.com/question/349488

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3 0

2 years ago

Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.

AfilCa [17]

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; Only toy chest A will provide the necessary storage space

Possible question options obtained from a similar question found online are;

Either toy chest have the storage space needed

Neither has the storage space needed

Only toy chest A

Only toy chest B

Learn more about calculating volumes of various shapes here:

brainly.com/question/3789826