Answer:
5000 km
Step-by-step explanation:
We are given that
3 cm represents on a map of a town=150 m
Distance between two points=1 km
We have to find the distance between two points on the map.
3 cm represents on a map of a town=150 m
1 cm represents on a map of a town=150/3 m
1 km=1000 m
1 m=100 cm

100000 cm represents on a map of a town
=
m
100000 cm represents on a map of a town=5000000 m
100000 cm represents on a map of a town
=
100000 cm represents on a map of a town=5000 km
Hence, two points are separated by 5000 km on the map.
Square both sides to get the binomial out of the square root:
(√(2x + 8))² = (2)²
2x + 8 = 4
2x = 4 - 8
2x = - 4
Divide both sides by 2 to isolate the variable X:
x = - 4 / 2
x = - 2
Your answer is option C.
4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
<u>Step-by-step explanation:</u>
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
<u>2x²-6x+3 </u>
<u>5x²-2x+11</u>
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- <u>(5x²-2x+11)</u>
<u> 4x² -16 </u>
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
Answer:
<em><u>=15a−8</u></em>
Step-by-step explanation:
Let's simplify step-by-step.
4(2a−1)−4+7a
Distribute:
=(4)(2a)+(4)(−1)+−4+7a
=8a+−4+−4+7a
Combine Like Terms:
=8a+−4+−4+7a
=(8a+7a)+(−4+−4)
=15a+−8
Answer:
=15a−8
hope i helped
-lvr
Answer:
100㏑²
Step-by-step explanation;
first of all you find the base using the pythagoras theorem
that is, √13² - 12² =√25 = 5
so 5 is the base of the right angle in the big isoceles triangle
so the base of the isoceles triangle is 10 [5 + 5]
so for the first triangle the area is 60㏑²
the second triangle is 40㏑²
therefore 60 + 40 = 100㏑²