Answer:
x = -4
Step-by-step explanation:
Solve for x:
3 x - 5 x + 2 = 10
Grouping like terms, 3 x - 5 x + 2 = 2 + (3 x - 5 x):
2 + (3 x - 5 x) = 10
3 x - 5 x = -2 x:
-2 x + 2 = 10
Subtract 2 from both sides:
(2 - 2) - 2 x = 10 - 2
2 - 2 = 0:
-2 x = 10 - 2
10 - 2 = 8:
-2 x = 8
Divide both sides of -2 x = 8 by -2:
(-2 x)/(-2) = 8/(-2)
(-2)/(-2) = 1:
x = 8/(-2)
The gcd of 8 and -2 is 2, so 8/(-2) = (2×4)/(2 (-1)) = 2/2×4/(-1) = 4/(-1):
x = 4/(-1)
Multiply numerator and denominator of 4/(-1) by -1:
Answer: x = -4
Answer:
9,14,19
Step-by-step explanation:
You seem to be giving the expression 2n+3n+4.
Now simplify
An = 5n+4
Fill in n
5(1) +4
5(2) +4
5(3)+4
After solving and simplifying you see 9, 14 and 19 are the first 3 terms.
Answer:

Step-by-step explanation:
We want to find the lateral surface area of the cube.
The lateral surface area of a cube is given as:

where a = length of side of the cube
Therefore, given that the length of the side of the cube is 2.5 inches, the area you need to paint is:

Answer:
32 units²
Step-by-step explanation:
this shape is a trapezoid with a height of 4 and bases that are 4 and 12 units in length
formula is: 1/2(height) x (sum of bases)
A = 1/2(4)(4 + 12)
A = 2(16)
A = 32
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
brainly.com/question/16904744