Answer:
120
Step-by-step explanation:
3*30=90
1*30=30
90+30=120
We represent the unknown number x. The product of this number and -3 is -3x. This product should be no more than 15. This also means that the product should be less than or equal to 15. This is shown in the inequality,
-3x ≤ 15
The answer is letter B.
Answer:
D. 140°.
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the measure of angle 3.
We know that when two line intersect they form two pairs of vertical angles.
Since angle 3 and angle 4 are vertical angle, they will be equal in measure. Using this information, we can set an equation as:
Upon substituting the expression for angle 3 and angle 4 is our equation we will get:
Upon dividing both sides of our equation by -1, we will get:
Upon substituting in expression for angle 3, we will get:
Therefore, the measure of angle 3 is 140 degrees and option D is the correct choice.
L = building side
W = non-building side
P = 2W + L = 42 (note only one L because the other L is the building itself)
Solve for L:
L = 42 - 2W
Area = l*w
Area = (42-2W)W = 42W - 2W2
Let area be y, so y = -2W2 +42W
Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.
Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0
a = -2
b = 42
W = -42/(2*-2) = -42/-4 = 10.5
W = 10.5
L = 42-2(10.5) = 42-21 = 21
Area = L*W = 21 * 10.5
A = 220.5 ft2
Answer:
y=0
Step-by-step explanation:
A slope of 0 is a horizontal line.
