For each question we must apply the Pythagorean theorem and clear the value of x.
question 5
x = root (14 ^ 2 + 16 ^ 2)
x = root (452)
x = 2raiz (113)
question 6
x = root (8 ^ 2 + 15 ^ 2)
x = 17
question 7
x = root (12 ^ 2 + 12 ^ 2)
x = root (2 * (12 ^ 2))
x = 12raiz (2)
question 8
x = root (18 ^ 2 - 9 ^ 2)
x = root (243)
x = 9raiz (3)
The equation would be 43.2 divided by 132 which would give you .32 aka 32%
Focus on the regression line. Notice how (0,90) and (1,75) are on this line. Compute the slope of the line through those points
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (75-90)/(1-0)
m = -15/1
m = -15
So Matthew's balance is decreasing by approximately 15 dollars each month. The negative slope means "decrease". This is shown by the fact that the line goes downhill as you move from left to right.
Answer: decreases by $15 each month
Enlargement of 2.
if it were a reduction it'd be getting smaller..
Answer:
x = 4
Step-by-step explanation:
ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same
We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 :
: 2
2
/RT =
/2
cross-multiply:
· RT = 4
RT = 4
Therefore, x = 4