Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Answer:
18/5
Step-by-step explanation:
<em>From my understanding, this is 1 whole 2 upon 10</em>
<u>Step 1: Convert mixed fraction into fraction</u>
<em>Multiply whole number by denominator: 1 x 10 = 10</em>
<em>Add numerator: 10 + 2 = 12</em>
<em>Write the result as the numerator and use the same denominator.</em>
12/10
<u>Step 2: Find the total tape used</u>
<em>From my understanding, each student used 12/10 of the tap</em>
<em>So 3 students used: 12/10 x 3 =</em> 18/5
Therefore, the total tape used for three students was 18/5.
!!
Answer:
12.9
Step-by-step explanation:
sin 59 = opposite/hypotenuse
opposite is x, the dimension facing the angle 59
hypotenuse is the longest side = 15
sin 59 = x/15
x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth
QR IS 23.8! Just subtract 68.4-44.6. The answer is right because 44.6+23.8=68.4