Answer:
NO
Step-by-step explanation:
The motion of the rock thrown from the cliff which goes downwards due to
the gravitational force, is a free fall motion.
- 125 represents; <u>A. The initial height of the rock</u>.
Reasons:
The given function that represents the height of the of the rock in feet <em>x</em> seconds after being thrown is; f(x) = 16·x² + 4·x + 125
At the initial height before being thrown from the cliff, we have;
The time, x = 0
The initial height is therefore;
The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125
125 represents <u>A. The initial height of the rock</u>
Learn more about motion under gravity here:
brainly.com/question/7596138
Answer:
11x - 8
Step-by-step explanation:
If you have x- + 5 - 13 + 12x, all we are doing is combining like terms. First, 5 - 13 = -8. Then, -x + 12x is the same as doing 12x - x. That gives us 11x. The answer would be 11x - 8 when you put -8 and 11x together in the expression.
Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A <u>cyclic quadrilateral</u> is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The <u>opposite angles</u> in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
- m∠Q = 68°
- m∠R = (3x + 40)°
- m∠T = (5x - 52)°
<u>Measure of angle Q</u>
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
<u>Measure of angles R and T</u>
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Answer:
slope = 1/2
Step-by-step explanation:
slope = y2-y1 / x2-x1
1 - -2 / 4 - -2 = 3/6 = 1/2
or think of it this way. for every 1 step up you take 2 steps to the right to stay on the line. 1/2