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Anna007 [38]
3 years ago
14

What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

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Find the equation of this line. y= [?]x+[?]
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Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

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Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
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Step-by-step explanation:

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What is the slope of the line?
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y=\frac{3}{4}x-1

Step-by-step explanation:

You can find this since the y-intercept is negative 1 and every x, y goes up by \frac{3}{4}

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