Answer:
8
Step-by-step explanation:
8
Answer:
Step-by-step explanation:
First, put -4x+y=7 into y=mx+b format
move -4x to the other side (or add 4x on both sides)
y=4x+7
now, parallel lines have the same slopes, but not the same y intercepts.
So, you already know the slope of your new line
y=4x+b
now we need to find b (y intercept)
take the point (4,-3) and put it into the equation above
-3=4(4)+b
-3=16+b
move 16 to the other side (or subtract 16)
-19=b
therefore the new line will be y=4x-19
Hope this helps!
The slope of the red line that is perpendicular to the green line is: -5/2.
<h3>What are the Slope Values of Perpendicular Lines?</h3>
When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.
<h3>What is the Negative Reciprocal of a Number?</h3>
If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.
Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.
Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.
Negative reciprocal of 2/5 is -5/2.
Therefore, the slope of the red line is: -5/2.
Learn more about slope of perpendicular lines on:
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Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:
ab
Step-by-step explanation:
A b and yes it is 1 in a better one day 1