Answer:
The function (gof)(x) is;
Explanation:
Given the functions;
Solving for the function;
so, we have;
Therefore, the function (gof)(x) is;
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22cm - (8cm + 5cm)
22cm - 13cm = 9cm
The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.
Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.
8² + 5² = 9²
64 + 25 = 81
89 > 81
The triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
Answer:
37.5
Step-by-step explanation:
<span>L = 2W + 5
A = LW = 63
L = 63/W
W=63/L
L = 2W + 5
63/W = 2W + 5
63 = 2WW + 5W
2WW + 5W - 63 = 0
2WW + 5W - 63 = 0
is already in quadratic equation form: ax^2 + bx + c = 0
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
the two solutions are:
x = 9/2
x = -7
you cant have a negative solution for length so use the positive one
solve for length:
L=5+2(9/2)
L=5+18/2
L=5+9
L=14
W = 9/2
L = 14</span>
