Answer:
x-axis
Step-by-step explanation:
When graphing (3, 0) on a coordinate plane, you move 3 units to the right of the origin. This means you are moving along the x-axis.
Answer:
b
Step-by-step explanation:
The distance between points is calculated through the equation,
D = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
We calculate for the distances of each of the pairs.
(-3,4) and (3, 4)
D = sqrt ((4 - 4)² + (3 --3)²) = 6
(-5,3) and (-5,11)
D = sqrt ((-5 --5)² +(11 - 3)²) = 8
(-20,-18) and (-22,-21)
D = sqrt ((-20 --22)² + (-18 --21)²) = 3.6
(2,4) and origin
D = sqrt ((2 - 0)² + (4 - 0)²) = 4.5
(7,8) and (-2,20)
D = sqrt ((-2 - 7)² + (8 - 20)²) = 15
Arranging the distances will give us an answer of C, D, A, B, E
The answer is letter C.
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
b = AC = 3
+ = 4
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2
)² - (3 )²
= 20 - 18 = 2 ( take square root of both sides )
BD =
Then
A = × 4 × = 2 × × = 4 cm²
