Answer:
B
Step-by-step explanation:
Hi there!
We are given the points (-1,2) and (3,3) and we need to find the slope.
The formula for slope calculated from two points is
, where (
,
) and (
,
) are points
since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion
=-1
=2
=3
=3
now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.
m=
simplify
m=
m=
so <u>B </u>is your answer
Hope this helps! :)
70+9x+7-21x-5=0
-12x=-72
x=6
Explanation:
The three inner angles of the triangle add up to 180. And if a straight line is split into two angles, those also add to 180 degrees. So we can make the equation '9x+7 + 70 + 180-(21x+5) = 180'
Answer:
2
Step-by-step explanation:
You should first simplify the expression:
16x + 14
Terms are separated by pluses or minuses, so here there are two terms
16x
14
Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
The expected assembly time is the middle of the range of the uniform distribution, 8 minutes.