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2 years ago

Find the equation of the line for each situation.

Mathematics

1 answer:

Flauer [41]2 years ago

7 0

Step-by-step explanation:

1) y = -x+4

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

y = -2x+6+4

y = -2x+10

3) slope = (3+1)/(9-1) = 4/8=½

the Equation =>

y+1= ½(x-1)

y = ½x -½-1

y = ½x - 1½ or 2y = x -3

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julia spends 2.25 on gas for her lawn mower.she earns 15.00 mowing her neighbors yard.what is julias profit?

Eduardwww [97]

This one is easy all you have to do is subtract the 2.25 by the 15 to get 12.75.

8 0

2 years ago

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The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph.

svetlana [45]

Answer:

y = 5*2ˣ

Step-by-step explanation:

Exponential function:

y = abˣ

Ordered pairs given:

(1, 10) and (4, 80)

Substitute x and y values to get below system:

10 = ab
80 = ab⁴

Divide the second equation by the first one and solve for b:

80/10 = b³
b³ = 8
b = ∛8
b = 2

Use the first equation and find the value of a:

10 = a*2
a = 5

The function is:

y = 5*2ˣ

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2 years ago

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PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?

zmey [24]

Answer:

Total surface area : 733

The shape of the base is a rectangle with sides 11 in. and 12 in.

Step-by-step explanation:

The shape of the base is a rectangle with sides 11 in. and 12 in.

The surface area is the sum of the areas of the 5 sides.

Area of the base = 11*12 = 132

Area of the two triangles = (11*16)/2 = 88

Area of the back rectangle = 192

The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.

So the area of the oblique face: 19.42* 12 = 233 (almost :) )

So total surface area: 132 + 88*2+192+233= 733 square in

3 0

1 year ago

Simplify: (x+7)(x-4)

SVETLANKA909090 [29]

Answer:

x² + 3x - 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x + 7)(x - 4)

= x(x - 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28

6 0

2 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

$\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3$

Therefore, the volume of the prism is $200\ cm^3$ .

7 0

2 years ago