Answer:
y = 5/7 x - 6
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1
The slope of the given function is -7/5
Let the slope of the required function be m
m * -7/5 = -1
7/5 m = 1
7 = 5m
m = 5/7
The slope of the line perpendicular to the line is 5/7
The required equation (using any value of the y-intercept) is expressed as;
y = 5/7 x - 6
Note that the y-intercept value was assumed and any value can be used
4log6-log2 =
4log(6/2)=
4log3=
log3⁴=
log81= approximately 1.9085
but I think they want you to stop at log 81
Answer:
Area of the base of the pyramid = V/h
Step-by-step explanation:
Mathematically, we know that the volume of the pyramid can be calculated by multiplying the area of the base by the height of the pyramid
Now using the variables in the question;
V = area of base * height of pyramid
Area of base = V/height of pyramid
Area of base = V/h
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.