Answer:
Base times height divided by 2
Step-by-step explanation:
Think of a triangle as a half of a square. Even though its still base times height, it doesnt cover a full area likewise of a square. Thus dividing by two gets you the area of the triangle.
In the given problem there are several vital informations to take note off for completing the required answer to the question.
It has been assumed that the unknown number is = p
Now we can get to the desired equation for solving and finding the value of p.
(p + 7)/12 = 3
p + 7 = 3 * 12
p + 7 = 36
p = 36 - 7
= 29
So the value of the unknown number p is 29. I hope that the method i have used to solve this problem is clear to you and you can solve such type of problems in future without anyone's help.
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:
1.5
Step-by-step explanation:
The rate of change is also the slope or m. This equation is in slope intercept form which is y=mx+b. m is the rate of change. m=1.5.