Answer: The answers are
- Subtract 7 from both sides of the equation.
- Subtract 7 from 7.
- Substitute 5 for p to check the solution.
Step-by-step explanation:
p + 7 = 12
= p + 7 - 7 = 12 - 7
= p = 5
Then for the substituting part
5 + 7 = 12
Hope this helps!
Slope=rise/run or changeiny/changeinx or (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2)
so
pick any 2 points
(x,y)
(0,17) and (1,23)
slope=(y2-y1)/(x2-x1)
so
(23-17)/(1-0)=6/1=6
slope is 6
Answer:
-5 feet below
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

Simplify. The denominator uses the difference of two squares pattern:

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

Split into two separate fractions:

Rewrite the two fractions:

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

Hence verified.
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!