3 years ago

16.

Mathematics

1 answer:

dsp733 years ago

4 0

Answer
B
Explanation

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A line passes through the points (-8, 1) and (-1, 6). A second line passes through the points (-3,0) and (-8,-5). What is the po

finlep [7]

$\begin{gathered} y=mx+b \\ m=\frac{6-1}{-1+8}=\frac{5}{7} \\ 6=\frac{5}{7}(-1)+b \\ 6+\frac{5}{7}=b \\ b=\frac{42+5}{7}=\frac{47}{7} \\ y=\frac{5}{7}x+\frac{47}{7} \end{gathered}$

For the second line

$\begin{gathered} y=mx+b \\ m=\frac{-5-0}{-8+3}=\frac{-5}{-5}=1 \\ 0=1(-3)+b \\ b=3 \\ y=x+3 \end{gathered}$

The intersection will be

$\begin{gathered} y=\frac{5}{7}x+\frac{47}{7} \\ x+3=\frac{5}{7}x+\frac{47}{7} \\ x-\frac{5}{7}x=\frac{47}{7}-3 \\ \frac{7x-5x}{7}=\frac{47-21}{7} \\ \frac{2x}{7}=\frac{26}{7} \\ 14x=182 \\ x=\frac{182}{14} \\ x=13 \\ \\ y=13+3=16 \end{gathered}$

Therefore, the point of intersection is (13, 16)

6 0

1 year ago

????????????????vbzjjzjdvdu

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

There is an empty dot on 4, meaning b is not equal to 4.

The arrow is going to the left of 4, so it means that b is less that four.

Hope that helps!

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2 years ago

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Find the measure of z.

liraira [26]

I think it would be 120

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2 years ago

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miss watson runs a distance of 200m in 25 seconds work out the average speed of miss watson in metres per second

Kobotan [32]

Answer:

8 meters per second

Step-by-step explanation:

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2 years ago

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model

alexira [117]

The formula for exponential decay is
$y=a(1-r)^{x}$

where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)

$y=28750(1-0.12)^{6}$

<span>y </span>≈ <span>13351.62</span>

8 0

3 years ago