Answer: 8x - 32
Work:
Simplify using the distributive property of multiplication.
8(x) = 8x
8(-4) = -32
Simplified expression: 8x - 32
"one" will fill both blanks.
Let x be the length of the train.
On the basis of the observer;
Speed of the train = x/6
On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20
Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.
Therefore,
Length of train = 150 m
Speed of train = 25 m/s
Answer:
24 square centimeters
Step-by-step explanation:
How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm
We are to find the area of the triangle
Area of the Triangle = 1/2 × Base × Height
= 1/2 × 4 × 12
= 24 square centimeters.
Therefore, the triangle will cover a space of 24 square centimeters.
Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9