In this question, you're solving for a.
Solve for a:
-84 = 6(4a - 2)
<em>Distribute the 6 to the variables inside the parenthesis</em>
-84 = 24a - 12
<em>Add 12 to both sides</em>
-72 = 24a
<em>Divide both sides by 24</em>
-3 = a
This means that answer choice D would be the correct answer.
Answer:
D). -3
Answer:
Alex is wrong in calculating his dive distance.
Actual distance of his Dive is 30 feet.
Step-by-step explanation:
Given:
Distance from where he dive from = 15 feet
Distance he reached after dive = 15 feet
Also Given:
Alex says that the two distances are opposites,
Also Total distance of dive according to Alex = 15 +-15 =0 feet
Solution:
Now we know that;
The diving board is 15 feet above the water level, and then he reached 15 deep in the water, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.
So the two distances are in the same direction.
From above scenario we can say that
Total Distance of dive will be = 15 +15 =30 feet.
Hence We can say that Alex is wrong in calculating his dive distance. Actual Dive distance is 30 feet.
Answer:
282°
Step-by-step explanation:
The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.
__
<h3>value of x</h3>
The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.
2∠KLM = arc KM
2(5x -1) = 8x +14
10x -2 = 8x +14 . . . . . . eliminate parentheses
2x = 16 . . . . . . . . . . add 2-8x
x = 8 . . . . . . . . . divide by 2
<h3>measure of arc KM</h3>
The expression for the measure of arc KM can be evaluated.
arc KM = 8x +14 = 8(8) +14 = 78°
<h3>
measure of arc KLM</h3>
The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:
arc KM +arc KLM = 360°
arc KLM = 360° -arc KM
arc KLM = 360° -78° = 282°
The measure are long arc KLM is 282°.
Answer:
37
Step-by-step explanation:
substitute the given values for x and y into the expression
4x² + 2y
= 4(3)² + 2(
)
= 4(9) + 1
= 36 + 1
= 37
