An solution to an equation = 21 would be something like 2p + 7
if you wanna know how to solve this
here is how:
<span>Simplifying 2p + 7 = 21 Reorder the terms: 7 + 2p = 21 Solving 7 + 2p = 21 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 21 + -7 2p = 21 + -7 Combine like terms: 21 + -7 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7</span>
Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
Given : a student factors to
We have to choose the correct statement about from the given options.
Given is factored to
Consider
Using algebraic identity,
comparing and b = 4, we have,
Thus, the factorization is equivalent but we can simplify it further also, as
Using algebraic identity,
Thus,
Can be written as
Thus, the expression is equivalent, but the term is not completely factored.
Option (b) is correct.
Step-by-step explanation:
Answer to A square-based pyramid has a slant height of 10 meters and a side base of 16 meters. What is the surface area? by Janet Heberling https://www.quora.com/A-square-based-pyramid-has-a-slant-height-of-10-meters-and-a-side-base-of-16-meters-What-is-the-surface-area/answer/Janet-Heberling-1?ch=15&oid=253187394&share=f14a7431&srid=hdLI1f&target_type=answer
Answer:
The answer is 7/24.
Step-by-step explanation:
I attached a picture, but I'll try to walk through it here.
1) A negative and a negative makes a positive, so h becomes positive.
2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).
3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.
4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.
5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.
You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.
slope of a line that is perpendicular to the line y=-3x is 1/3
What is slope of line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.
y=-3x
tanθ=slope = y/x= -3
Slope(M) of this equation is -3
Let the slope of its perpendicular line is m
As we know that the product of the slopes of perpendicular lines is -1
so,
M*m =-1
-3 * m= -1
m=1/3
Learn about slope from the link below
brainly.com/question/6716094
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