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harina [27]
3 years ago
8

Find the slope of the line graphed below.

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

Therefore the Slope of the line is

Slope=-\dfrac{3}{5}

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 1 , -5)

point B( x₂ , y₂ )≡ (-4 , -2)

To Find:  

Slope of Line AB =?  

Solution:  

Slope of line between Two points is given as

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope=\dfrac{-2-(-5)}{-4-1}=\dfrac{3}{-5}

Therefore the Slope of the line is

Slope=-\dfrac{3}{5}

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A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 1
Jet001 [13]

Answer:

The answer is "$238".

Step-by-step explanation:

Current worth= \$ 17,000

depreciates by \frac{1}{2} in 3 years.

time=  19 years

depreciates rate=?

Using formula:

\to \text{Worth=  Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}

\to A_t=A_0(1-\frac{r}{100})^t

calculates depreciate value in 3 year = \frac{1}{2} \times 17,000

                                                              = 8,500

so,

A_t=8,500\\\\A_0=17,000\\\\t=3\ years

\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%

depreciates rate= 20%

\to \text{Worth=  Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}

= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238

4 0
2 years ago
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P divided by 8????? asap nowwww
zlopas [31]

Answer:

I am not sure but if p/8=0 then it is correct

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Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10
morpeh [17]

Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

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3 years ago
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Try this option (this is not the only way!):

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Answer:

The correct option are;

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For a cubic function that has x-intercept = (0, 0) we have;

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