Answer:
y = - x - 4
Step-by-step explanation:
A line perpendicular to the line: y = x + 5
must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".
Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:
y = -1 x + b
3 = -1 (-7) + b
then we solve for "b":
3 = 7 + b
3 - 7 = b
b = -4
Now we can write the total equation of the perpendicular line in slope-intercept form as:
y = - x - 4
Answer:
$15.21
Step-by-step explanation:
The tax and tip percentages are both being figured on the original bill amount, so they can be added. The tax and tip together come to ...
11.75% +15% = 26.75%
This is added to the original bill amount, so the final total will be ...
$12 + $12×0.2675 = $12×1.2675 = $15.21
Vera's meal cost $15.21.
Since this is a right triangle, we can use Pythagorean theorem. Pythagorean theorem is a^2 + b^2 = c^2
a = one leg of the triangle
b = the second leg of the triangle
c = the hypotenuse of the triangle
in this problem,
a = 8 in
b = 6 in
c = ?
We need to plug our numbers into the pythagorean theorem and solve for c
8^2 + 6^2 = c^2.
Square each term on the left side.
64 + 36 = c^2
Add the terms together on the left side.
100 = c^2.
Take the square root of each side
10 = c
The missing side is 10 inches
Step-by-step explanation:
y = x² - 16
x² = y + 16
x = sqrt(y + 16) because x is non-negative.
Hence the inverse function is f^(-1)(x) = sqrt(x + 16). (A)
Answer:
The answer is first point, A = 67.5units²
Step-by-step explanation:
Given that the area of triangle is (1/2)×base×height. So use this formula to find the area :
base = 9units
height = 15units
Area = (1/2)×9×15
= 67.5units²
