Ok so I uploaded the picture of how to do the promblem step by step so you know :)
Answer:
x=−3 or x=5
Step-by-step explanation:
x2−2x−15=0
Step 1: Factor left side of equation.
(x+3)(x−5)=0
Step 2: Set factors equal to 0.
x+3=0 or x−5=0
x=−3 or x=5
The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>
In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>
Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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the answer is 1,000 + 37,542 so it is 38,542
Answer:
The Zscore for both test is the same
Step-by-step explanation:
Given that :
TEST 1:
score (x) = 75
Mean (m) = 65
Standard deviation (s) = 8
TEST 2:
score (x) = 75
Mean (m) = 70
Standard deviation (s) = 4
USING the relation to obtain the standardized score :
Zscore = (x - m) / s
TEST 1:
Zscore = (75 - 65) / 8
Zscore = 10/8
Zscore = 1.25
TEST 2:
Zscore = (75 - 70) / 4
Zscore = 5/4
Zscore = 1.25
The standardized score for both test is the same.