Answer:
Step-by-step explanation:
Direct variation problems can easily be solved with proportions, namely:
and cross multiply to get
2y = 20 so
y = 10
Answer:
The answer is b = 6
Step-by-step explanation:
Area of a triangle= 1/2 × b × h
A = 21, h = 7, b = ?
21 = 1/2 × b × 7 (multiplying through)
21 = 7b/2
Cross multiply
2 × 21 = 7b
42 = 7b
b = 42/7
b = 6
The horizontal change is called the run and the vertical is rise. so for example if one point to the other rises by 4 and runs by 5, the slope is 4/5. slope is
rise / run
Answer:
A
Step-by-step explanation:
A point estimate is the sample value which is used to estimate the population parameter
Sample characteristics for population mean is sample mean, which is 16.5
Answer:
points G and I have coordinates (6,4) and (3,2)
Use Pythagorean theorem to calculate the straight line distance between points G and I
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Step-by-step explanation: