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4 years ago

What is the equation of the following line? (0,0) (2,-8)

Mathematics

2 answers:

Ivahew [28]4 years ago

6 0

Use the slope to do

(-8-0)/(2-0)

-8/2 = -4

The slope is -4

y = -4x

lakkis [162]4 years ago

6 0

Answer:

The required equation of the line is $y=-4x$

Step-by-step explanation:

Given : Points (0,0), (2,-8).

To find : What is the equation of the line ?

Solution :

Applying Two point slope form to find the equation,

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Where, $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,-8)$

Substitute in the formula,

$(y-0)=\frac{-8-0}{2-0}(x-0)$

$y=\frac{-8}{2}x$

$y=-4x$

Therefore, The required equation of the line is $y=-4x$

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What is the measure of ACE in the diagram below? A. 46 B. 104 C. 29 D. 58

beks73 [17]

Answer:

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = $\frac{1}{2}$ (AE - BD ) = $\frac{1}{2}$ (104 - 46)° = $\frac{1}{2}$ × 58° = 29° → C

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Answer:

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2 years ago

For a particular event, 709 tickets were sold for a total of $1,780. If students paid $2 per ticket and non students paid $3 per

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3 years ago

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o

NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

$\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}$

$\displaystyle S= \frac{3}{2} \cdot J$

Therefore;

$\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}$

Which gives;

$\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500$

$\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579$

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0

2 years ago