Answer:
t = 4 seconds
Step-by-step explanation:
The height of the projectile after it is launched is given by the function :
t is time in seconds
We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0
So,
The above is a quadratic equation. It can be solved by the formula as follows :
Here, a = -16, b = 32 and c = 128
Neglecting negative value, the projectile will land after 4 seconds.
Answer:
C
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent
x is the angle between line with 3 strokes and 2 strokes
The corresponding angle is therefore ∠ C
∠ C = 180° - (63 + 29)° = 180° - 92° = 88°
Then x = 88 → C
Answer and Step-by-step explanation:
Distance is the numerical measurement to find the space or interval between two objects. Distance also refers to physical length. Point x to point y distance is denoted as |xy|
There are many ways to find out the distance, distance between two objects or two points. The efficient way of finding the distance between two points is given below. Mathematically, the distance between two points on a coordinate plane can be determined by using the distance formula, which is:
d =√((x2-x1)2+(y2-y1)2),
Where (x1, y1) and (x2, y2) coordinates, and d is the distance.
The middle point between these two points is known as midpoint and can find out by using the formula
Midpoint = a + b /2.
The distance between two points number line can also be calculated by using the formula:
AB =|b –a| or |a-b|.
9514 1404 393
Answer:
- x/45 = 9 m/30
- x = 13.5 . . . meters
Step-by-step explanation:
In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.
x/45 = 9/30
__
Multiplying by 45 gives the solution:
x = 45(9/30) = 13.5 . . . meters
Answer: -75
Explanation: In this problem, we're given the function f(x) = 7x - 5 and we're asked to find f(-10).
To find f(-10) or the value of the function when <em>x = -10</em> we simply substitute -10 in for <em>x</em> in our function.
So we have 7(-10) - 5 or -70 - 5 which equals -75.
So f(-10) or the value of the function when <em>x</em> <em>= 10</em> is -75.
Since your answer to this problem was <em>a</em>, your answer is correct.
