To find the y-intercept of the equation, we will put 0 in for x, and find y.
So, y = 14.2 - 3.9(0)
y = 14.2
Answer:
Step-by-step explanation:
A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°
Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft
The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
Answer: A trapezoid is always a parallelogram.
Step-by-step explanation:
