Answer:
x² + 3x - 28
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor
(x + 7)(x - 4)
= x(x - 4) + 7(x - 4) ← distribute both parenthesis
= x² - 4x + 7x - 28 ← collect like terms
= x² + 3x - 28
Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
The ladder will reach 122 ft up the building.
The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle. x will be the height from the top of the fire truck to the point where the ladder hits the building. 75° is the angle the ladder will make with the fire truck.
We have an angle, the side opposite the angle, and the hypotenuse. Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:
x/120 = sin 75
Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116
However, this is just from the top of the fire truck to the point where the ladder hits the building. We still add the 6 feet from the top of the truck to the ground. 116+6 = 122.
Answer:
-2
Step-by-step explanation:
You multiply each term by -2 to get the next term.
To find this for this sequence, divide the term on the right by the term on the left.
8 / -4 = -2 or -4 * -2 = 8
-16 / 8 = -2 or 8 * -2 = -16
32 / -16 = -2 or -16 * -2 = 32
-64 / 32 = -2 or 32 * -2 = -64
Answer:
trust your instincts
Step-by-step explanation:
i will not let you decide your destiny on your own
