Answer:
x=-4
Step-by-step explanation:
−3(7−2x)+3=8x−10
Step 1: Simplify both sides of the equation.
−3(7−2x)+3=8x−10
(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)
−21+6x+3=8x+−10
(6x)+(−21+3)=8x−10(Combine Like Terms)
6x+−18=8x−10
6x−18=8x−10
Step 2: Subtract 8x from both sides.
6x−18−8x=8x−10−8x
−2x−18=−10
Step 3: Add 18 to both sides.
−2x−18+18=−10+18
−2x=8
Step 4: Divide both sides by -2.
−2x
−2
=
8
−2
x=−4
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
log3 (500)
Step-by-step explanation:
3 log3 (5) * log3(4)
We know that a log b(c) = log b(c^a)
log3 (5)^3 * log3(4)
We know that log a(b) * log a (c) = loga( b*c)
log3 ((5)^3 * 4)
log3 (125*4)
log3 (500)
Answer:
Substitute the numbers below x by x in the equation given in the middle of the table and that will be the answer for y.
Step-by-step explanation:
For example, x= -1
y= x + 6
y= -1 + 6
y= 5
