Answer:
16
Step-by-step explanation:
3x - 4 = 
(10x - 72)
⇔ 6x - 8 = 10x - 72
⇔ 4x = 64
⇔ x = 16
Answer:
Choice A: 
. for all real numbers.
Step-by-step explanation:
We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points 
.
Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.
The same goes for choice D.
And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to y = 5/2x + 3/2
A.
The rate is 12:2
B.
Set up a proportion:
12/2 = x/5
Multiply 5 to both sides:
60/2 = x
Divide:
30 = x
So he will walk 30 miles in 5 hours.
C.
To find out, we can divide 12 / 2.
12 / 2 = 6 miles per hour
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.
False.
Right triangles do not have to be congruent.
:)
