Answer: 27a
Step-by-step explanation:
1. Simplify 4a×6 to 24a.
24a+3a
2. Simplify.
27a
Answer:
Jessica spent 10 months in Spain and 8 months in Colombia.
Step-by-step explanation:
Let x be the number of months Jessica lived in Spain, then she lived 18 - x months in Colombia.
She learned an average of 160 words per month when she lived in Spain, so she learned 160x words in Spain.
She learned an average of 200 words per month when she lived in Colombia, so she learned 200(18-x) words in Colombia.
In total, she learned a total of 3,200 new words, thus
Jessica spent 10 months in Spain and 8 months in Colombia.
Answer:
Option A is the correct answer.
Explanation:
Any vector can be resolved in to two components. Horizontal component and vertical component.
Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.
Horizontal component = F cos θ
Vertical component = F sin θ
Here we have Force , F = 50 pounds
Angle with horizontal = 80°
Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds
≅ 9 lb.
Option A is the correct answer.
Answer:
5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2)
Step-by-step explanation:
In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:
x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)
x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)
Now that you have factored out the two quadratics, plug them into the equation.
5x - 3
(x+4)(x+2) (x+5)(x+2)
Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.
5x (x+5) - 3(x+4)
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:
5x^2+25x - (3x+12) = 5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
Step-by-step explanation:
multiply
when 1 number is given and many is asked means multiply
