Simplifying
6x + -2 + 2x = -2 + 4x +8
Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8
Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8
Reorder the terms:
-2 + 8x = -2 + 8 + 4x
Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x
Solving
-2 + 8x = 6 + 4x
Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x
Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6
Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2
Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2
Combine like terms: 6 + 2 = 8
4x = 8
Divide each side by '4'.
x = 2
Simplifying
x = 2
But round to tenth? For 2 would be 0? My hand hurts now sorry if it’s incorrect
Before I can answer, I need to know the shape.
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
<h3>How to calculate arithmetic progression?</h3>
The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
- a = first term
- Un = sum
- n = no of terms
- d = common ratio
100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
Learn more about arithmetic progression at: brainly.com/question/20385181
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Answer:
960.7 ft
Step-by-step explanation:
A right triangle is formed where the distance between Jack and the base of the building is one of the triangles legs and the height of the building plus 5 feet is the other leg (let's call it x). The included angle between the hypotenuse and the distance between Jack and the base of the building is 67°. From definition:
tan(α) = opposite/adjacent
tan(67) = x/400
x = tan(67)*400
x = 965.7 ft
Then, the height of the building is 965.7 ft - 5 ft = 960.7 ft
Answer:
A
Step-by-step explanation:
You convert each fraction to have the same decimal to find the LCD of both denominators
4, 8, 12, 16, 20 and 5, 10, 15, 20 = both of them have 20 in common
You multiply the numerator and denominator by 5 for 2 3/4 and for 5 4/5 you multiply both the numerator and denominator by 4
2 15/20 and 5 16/20
Subtract them and their is your answer