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Olin [163]
3 years ago
10

Which answers describe the shape below? Check all that apply.

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

E and C

Step-by-step explanation:

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Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the
AURORKA [14]

Answer:

The standard form of line is

-3x+y=-2

Step-by-step explanation:

we are given a line

slope=3

so,

m=3

y-intercept of -2

so,

b=-2

now, we can use slope-intercept form of line

y=mx+b

now, we can plug values

y=3x-2

we can write it in standard form of line

ax+by=c

y=3x-2

we can subtract both sides by 3x

y-3x=3x-2-3x

y-3x=-2

-3x+y=-2

So, the standard form of line is

-3x+y=-2


3 0
3 years ago
Read 2 more answers
Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?
erica [24]

Answer:

(a)

V=x^3+x^2-9x-9

(b)

x=10

(c)

x=\frac{7}{2}

Step-by-step explanation:

we are given

length is x+1

L=x+1

width is x+3

W=x+3

height is x-3

H=x-3

(a)

we can use volume formula

V=L\times W\times H

now, we can plug it

V=(x+1)\times (x+3)\times (x-3)

now, we can simplify it

V=x^3+x^2-9x-9

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

V=x^3+x^2-9x-9=1001

now, we can factor it

\left(x-10\right)\left(x^2+11x+101\right)=0

x-10=0

x=10

(b)

we are given volume

so, we can set

V=14\frac{5}{8}=\frac{14\times 8+5}{8}

V=\frac{117}{8}

and then we can solve for x

V=x^3+x^2-9x-9=\frac{117}{8}

now, we can factor it

8x^3+8x^2-72x-189=0

\left(2x-7\right)\left(4x^2+18x+27\right)=0

2x-7=0

x=\frac{7}{2}

8 0
3 years ago
Write an equation of a like that passes through the points (9,5) and (6,7)
hodyreva [135]

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

5 0
3 years ago
A sandbox has an area of 10 2/3 square feet, and the length is 1/4 feet. What is the width of the sandbox?
AlekseyPX

Answer:

The width of the sandbox is 42\frac{2}{3} \ ft.

Step-by-step explanation:

Given,

Area of the sandbox = 10\frac{2}{3}=\frac{32}{3}\ ft^2

Length = \frac{1}{4}\ ft

Solution,

Let the width of the sandbox be 'w'.

Since the sandbox is in shape of rectangle.

So we use the formula of area of rectangle.

Area = Length\times Width

On substituting the given values, we get;

\frac{1}{4}\times w=\frac{32}{3}\\

By cross multiplication method, we get;

w=\frac{32\times4}{3\times 1} =\frac{128}{3} =42\frac{2}{3} \ ft

Hence The width of the sandbox is 42\frac{2}{3} \ ft.

5 0
3 years ago
Katya measured the growth of a plant seedling. The seedling grew 1/3 inch by the end of the first week and another 5 / 6 inch by
cupoosta [38]
The seedling grew 1 1/6 inches or approximately 1.16 inches. 1/3 is equal to 2/6, 2/6 + 5/6 = 7/6
7/6 = 1 1/6
4 0
3 years ago
Read 2 more answers
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