Answer:
b= -5
Step-by-step explanation:
-10(10+b)=5(3b+5)
Distribute
-100 -10b = 15b +25
Add 10b to each side
-100-10b+10b = 15b+10b +25
-100 = 25b+25
Subtract 25 from each side
-100-25 = 25b+25-25
-125 = 25b
Divide by 25
-125/25 =25b/25
-5 =b
A
The two equations are parallel. They have the same slope. You get two lines that never meet. The y intercept is -6 for the first one and + 6 for the second one.
B
Mutliply the second equation by 2
2(1/2y = -4x - 3)
y = -8x - 6
The two equations do not differ at all. There are an infinite number of solutions.
C
The slopes are different. One is plus 8 and the other is minus 8. These two equations will meet at exactly 1 point.
D
If you multiply the whole equation by - 1 you get the same thing as the first set of equations.
-1(-y = 8x +6)
y = -8x - 6
C<<<< Answer
Answer:
A)Option A - To make sure that you get a straight line to bisect the line segment
B) Option D - Yes, it is still possible. So long as the compass is wider than half the length of the line segment and still intersects the line segment, it is possible to bisect the line segment.
Step-by-step explanation:
1) In bisection of a line segment, we seek to divide the line into 2 equal parts. Now, when using the bisection points of an arc, it's important to have two intersection points above and below the line segment so that we can draw a straight line that will pass through the horizontal line segment we are bisecting to make the bisected parts equal in length.
So option A is correct.
2) When bisecting a horizontal line segment using compass, usually we place one leg of the compass at one endpoint of the line and open the other leg of the compass to a length that's more than half of the horizontal line segment. Thereafter, we draw our arc from top to bottom. Without changing the distance of the opened compass, we put one of the legs at the 2nd endpoint and now draw another arc to intersect the previously drawn one.
Now, from the question we are told that the line segment has a length of approximately 10 cm and the compass is set to a width of 9 cm. Now, since 9cm is more than half of the line segment and provided this width of 9cm is maintained when moving the leg to the second endpoint, then it is possible.
Option D is correct.
Answer:
4.4 km/h
Step-by-step explanation:
From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h
So the trick is to express the 30 minutes as 1/2 hour.
Answer:
Perimeter: 28 Meters
Area: 33 Square Meters
Step-by-step explanation:
To calculate the perimeter:
<u>Formula:</u> P = (L + W) × 2
P = (3 + 11) × 2
P = 28 Meters
To calculate the area:
<u>Formula:</u> A = LW
A = 11 × 3
A = 33 Square Meters