-3z + 7 = -7 - 10z
Add 10z to both sides
7z + 7 = -7
Subtract 7 from both sides
7z = -14
Divide by 7
Z = -2
Let's first get the representation of tan
We also need to understand how to convert radians to degrees
For question 1
since tan > 1
It must be in either first quadrant or third quadrant as shown in the diagram above
These are not the exact numbers but just plug in the numbers of yours Because we know that q is a perpendicular line to p we know that its slope is the negative reciprocal of the slope of p. So its slope is 7/10. Now we just need to find its y-intercept. To do that we write what we know about line q. So we know that the equation for line q looks like:
y = (7/10)x + b
We also know that q passes through the point (8,7), so we now plug that in and solve for b:
7 = (7/10)(8) + b
7 - (56/10) = b
(70/10) - (56/10) = b
14/10 = 7/5 = b
So now that we have solved for the y-intercept, we know that the equation for line q is:
y = (7/10)x + 7/5
Answer:
<u>The correct answer is C. 14.6 feet</u>
Step-by-step explanation:
Information given to solve the case:
Length of the ladder = 15 feet
Distance from the base of the wall = 3.5 feet
Using the Pythagorean theorem for finding the height, because this is a right triangle:
h² = Length of the ladder ² - Distance from the base of the wall ²
h² = 15 ² - 3.5 ²
h² = 225 - 12.25
h² = 212.75
h = √ 212.75
h = 14.59
<u>h = 14.6 feet (Rounding to one decimal place)</u>
