The first step would be to simplify both sides of the equal sign as much as possible.
8x - 5 = -3(3 - 2x)
8x - 5 = -9 - (-6x)
8x - 5 = -9 + 6x
Next, you would need to combine like terms on both sides of the equal sign to one on one side of the equal sign and one on the other.
8x - 5 = -9 + 6x
2x - 5 = -9
2x = -4
Now, all you have to do is isolate the x. To do this, you would divide both sides by 2.
2x = -4
x = -2
I hope this helps!
<span>Area of the upper rectangle = x(16 - 6) = 10x </span>yd²<span>
Area of the bottom rectangle = 6(x + 6) = 6x + 36 </span>yd²<span>
Total area = 10x + 6x + 36 = 16x + 36 yd</span>²
Step-by-step explanation:
24:X::36:12
( product of means = product of extremes )
24×12=36×x
288=36x
288/36=X
8=X. Answer
hope it helps
<span>Answer:
% multiples of baseValue from 0 to 5
for(i = 0:5)
multiplicationTable(1,i+1) = baseValue.*i;
end
end</span>
Answer:
- The distance from the plane to the observer tower is 7.7 km
Step-by-step explanation:
We are given two sides and one angle opposite to one of the known sides.
In order to find the missing side we need to use the law of sines.
<h3>Step 1</h3>
Find the angle opposite to the second known side, let it be x.
- sin 68°/7.5 = sin x /5.2
- sin x = 5.2 sin 68°/7.5
- sin x = 0.64 (rounded)
- x = arcsin 0.64
- x = 39.8°
<h3>Step 2</h3>
Find the missing third angle y, using angle sum theorem:
- 68° + 39.8° + y = 180°
- 107.8° + y = 180°
- y = 180° - 107.8°
- y = 72.2°
<h3>Step 3</h3>
Find the required side length z, the distance from the plane to the observer tower, using the law of sines again.
<u>Note</u>. <em>At this point you can use the law of cosines as we have found the angle between the known sides.</em>
<em />
- sin 68°/7.5 = sin 72.2°/z
- z = 7.5 sin 72.2°/sin 68°
- z = 7.7 km (rounded)
So the required distance is 7.7 km
