Answer:
9.00 square units
Step-by-step explanation:
The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.
The subintervals are:
0 ≤ x ≤ 1
1 ≤ x ≤ 2
2 ≤ x ≤ 3
3 ≤ x ≤ 4
MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:
f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25
f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25
f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25
f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25
So the total approximate area is:
A = 3.25 + 1.25 + 1.25 + 3.25
A = 9.00
Graph: desmos.com/calculator/x8dcibqszo
Answer:
x = 5
Step-by-step explanation:
To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:
∠D = 10x
50° = 10x
Divide each side by 10 to isolate x:
50/10 = 10x/10
x = 5
Answer:
So the x-intercept is (9,0) and the y-intercept is (0,-3).
So I'm going to graph both points and connect them with a straight-edge.
Step-by-step explanation:
I would graph this using it's x- and y-intercepts.
To find the x-intercept, set y=0.
-3x+9(0)=-27
-3x+0=-27
-3x=-27
Divide both sides by -3:
x=9
To find the y-intercept, set x=0:
-3(0)+9y=-27
0 +9y=-27
9y=-27
Divide both sides by 9:
y=-3
So the x-intercept is (9,0) and the y-intercept is (0,-3).
So I'm going to graph both points and connect them with a straight-edge.
Answer:
K=-2.5
Step-by-step explanation:
because the line is in the middle of 2 and 3 and is below which means that it is negative
