We will use the distributive property. -4 times 9z=-36z -4 times -2=8 so we have -36z+8 as our answer
Answer:
∠A = 45°
Step-by-step explanation:
The sum of angles in a triangle = 180°.
That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.
Given ∠B = 90° and ∠C = 45°.
⇒ ∠A + 90° + 45° = 180°
⇒ ∠A = 180 - 90 - 45
⇒ ∠A = 45° is the required answer.
Substitute 
, so that 
, and
which is separable as
Integrate both sides with respect to 
. For the integral on the left, first split into partial fractions:
Solve for 
:
Replace and solve for 
:
Now use the given initial condition to solve for 
:
so that the particular solution is
Step-by-step explanation:
Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points
We'll make Point 1 (which is X1 and Y1) the Y-intercept so
X1, Y1 = (0, 5.00)
And we'll make Point 2 (which is X2 and Y2) the point on the trend line
X2, Y2 = (200, 6.00)
Plug into the formula:
(6.00 - 5.00)/(200 - 0)
= 1/200 or 0.005
Slope: 1/200 or 0.005
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Answer:
(-3,8)
Step-by-step explanation:
When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)
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