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frez [133]
4 years ago
10

R

Mathematics
1 answer:
mart [117]4 years ago
8 0

Answer:

6

Step-by-step explanation:

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Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.
netineya [11]
If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope m. To do that we are going to use the slope formula: m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.
From our two points we can infer that x_{1}=0, y_{1}=0, x_{2}=-4, y_{2}=3. Lets replace those values in the slope formula:
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m= \frac{3-0}{-4-0}
m= \frac{3}{-4}
m=- \frac{3}{4}

Now that we have our slope, we can use the slope-intercept formula:
y-y_{1}=m(x-x_{1})
y-0=- \frac{3}{4} (x-0)
y=- \frac{3}{4} x

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is y=- \frac{3}{4} x.

8 0
3 years ago
Round to the nearest tenth, 29.3 is 42% of what number?
andrew-mc [135]
42\% \ of \ x = 29.3 \\\\ \frac{42}{100}*x= 29.3 \\\\ \frac{21}{50}*x=29.3 \\\\ x=\frac{50*29.3}{21} \\\\ x=\frac{1465}{21} \\\\ \boxed{x=69.76 \to \boxed{\boxed{70}}}
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25E.................
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