Answer:
8. yes
9. no
10. yes
Step-by-step explanation:
8. A horizontal line (y=3) is perpendicular to a vertical line (x=0).
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9. A horizontal line (y=2) is parallel to a horizontal line (y=-1/2). The lines are not perpendicular.
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10. A parallelogram is a rectangle if the sides are perpendicular. The slopes of the short sides are rise/run = -1, and the slopes of the long sides are rise/run = +1. These values have a product of -1, so the sides are perpendicular. The figure is a rectangle.
Answer:
28%
Step-by-step explanation:
So I am assuming the numbers are the number of students.
So 64 + 28+ 52 +56 = 200 students
Assuming the 56 outside the diagram are NOT attending either college.
so 56/200 =28%
Answer:
Let's simplify step-by-step.
8.3+3.4y−0.5(12y−3)
Distribute:
=8.3+3.4y+(−0.5)(12y)+(−0.5)(−3)
=8.3+3.4y+−6y+1.5
Combine Like Terms:
=8.3+3.4y+−6y+1.5
=(3.4y+−6y)+(8.3+1.5)
=−2.6y+9.8
Answer:
=−2.6y+9.8
The correct answer would be B 94 degrees
To find our scale factor, let's determine the length of AB, and compare it to the length of A'B'.
The length of AB is the distance from (9,4) to (5,-4).
Let's apply the distance formula:
AB = √ ((9-5)² + (4+4)²)
AB = √ (4² + 8²)
AB = √(16 + 64)
AB = √ (80)
AB = 4 √5
The length of AB is 4 √5.
Now for A'B':
A'B' = √ ((6-5)² + (3+4)²)
A'B' = √( 1 + 49)
A'B' = √ 50
A'B' = 5 √2
To find our scale factor k:
A'B' = k AB
5 √2 = 4 √5 * k Divide both sides by 4√5
5 √2 / (4 √5) = k To simplify, multiply the left side by (√5 / √5)
(5 *√5 * √2) / (4 *5) = k the 5's in the numerator and denominator cancel
√5 * √2 / 4 = k
√10 / 4 = k
To confirm, make sure AB * k = A'B', using the values that we've calculated.
