Answer:
Valid
Step-by-step explanation:
3(x-4)=x+4 <em>Given</em>
3x-12=x+4 <em>Distribute</em>
2x=16<em> Subtract x from both sides and add 12 to both sides</em>
x=8 <em>Divide each side by 2.</em>
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Answer:
If we are to treat these as two ordered pairs, then the rate of change is 1.25.
Step-by-step explanation:
To find this, use the slope equation with the ordered pairs.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 9/16 - 9 1/16)/(12 - 10)
m = (2 8/16)/2
m = 2.5/2
m = 1.25
Now we know that this could be a function since we have a constant slope.
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>


A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>


A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
Its value is 10.
Step-by-step explanation:
Use order of operations, PEMDAS.
The parentheses are worked out first:-
(5 - 3) X 2 + 6
= 2 X 2 + 6
Now the multiplication:-
= 4 + 6
= 10 (answer).
The figure below shows the standard normal distribution or "bell-shaped" curve, plotted against the z-score.
The z-score is defined as
z = (x - μ)/σ
where
x = nrandom variable
μ = mean
σ = standard deviation.
As z-values decrease, areas to the left of z decrease as shown by the shaded area.
Answer:
Areas to the left of z decrease.