Let x = blank
25 + 5x = 35
5x = 35 - 25
5x = 10
x = 10/5
x = 2
Done!
Answer:
Step-by-step explanation:
(5-1)/(5-1)= 4/4= 1
y - 1 = x - 1
y = x
y - x = 0
the second equation is not
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
Let base = 9,
Let height = 3,
Triangle,
Let base = 3,
Let height = 3,
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
Angle 2 and angle 4 are vertical angles which makes them congruent
Answer:
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Step-by-step explanation:
Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.
Initial velocity u with which the ball is projected upwards = + 120 ft/s
Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Using the formula:
v² - u² = 2 a h,
where
u = initial velocity of the ball = +120 ft/s
v = final velocity of the ball at the highest point = 0 ft/s
a = uniform acceleration acting on the ball = -32 ft/s²
h = height attained
Substituting the values we get;
0² - 120² = 2 × (- 32) h
=> h = 120²/2 × 32 = 225 feet
The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.
