Answer:
X= 43
y=120
Step-by-step explanation:
3x + 8 + X = 180
4x = 180 - 8
X = 43
2y +17+X = 180
2y + 17 + 43 = 180
y = 180 - 60
= 120
Answer:
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
The the square of the number is given as;
Taking the difference of both expressions above;
Factor out the common term:
Hence the difference between the product of 4 and a number and the square of the number is
Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
Answer:
Step-by-step explanation:
-6x^2 + x -3 + 2x + 4
________________________
x^2 + 9
-6x^2 + 3x + 1
__________
x^2 + 9
the solution is the first one
