First of all let's rearrange the equation for the given line:
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7
The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4
Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2
If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4
Answer:
each square takes up a 10 by 10 square is you divide it into to four pieces then you use the formula for area of a circle
Step-by-step explanation:
1) 10 x 10
Find the diameter which is 5
Use the area equation Pie r squared
Divide the diameter by 2 to get radius
3.14 x 2.5 squared
19.625
at that 4 times
You get are of circles
And Shaded area is 19.625
Divide 159 by 39 to get around $4.08
Answer:
y = 4x+3
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Explanation:
use the slope formula first
m = (y2-y1)/(x2-x1)
m = (-1-3)/(-1-0)
m = (-4)/(-1)
m = 4
The slope is m = 4
The y intercept is b = 3 because this comes from the point (0,3)
The x value is always 0 for the y intercept. This is where the graph crosses the y axis
Since m = 4 and b = 3, we go from y = mx+b to y = 4x+3
Answer:
67.5
Step-by-step explanation:
Take the amount that you deposited and multiply it by the interest rate. Then would multiply it by 3 cause its 3 years that you would be getting that interest.
900 * 0.025 = 22.5
22.5 * 3 = 67.5