Answer:
Correct answer not shown on the options.
y = -(1/2)+1
Step-by-step explanation:
Let's find an equation in the format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
The slope can be calculated as the Rise/Run of the line between the two given points (-6,4) and (-2,2):
Rise = (2 - 4) = -2
Run = (-2 - (-6)) = 4
Slope = Rise/Run = -2/4 or -(1/2)
In fact, the actual full equation is y= -(1/2)x+1 (See attached graph).
None of the options have a slope of -(1/2). Either the information on the two points or the options are incorrect.
Let's go through the answer choices one by one:
A. False. The line segment contains more than just the endpoints
B. False. There are points in this description that extend beyond the endpoints. If this was a line instead of a segment, then choice B would be the answer
C. True. This is the answer. Though your teacher should have added "collinear" to the sentence to make it clear that the points are between M and N, and also collinear to M and N. All of these points form the line segment MN
D. False. That would be the perpendicular bisector of MN
----------------------------------------------------------------------------------------------------
So once again, the final answer is choice C
Answer:
Step-by-step explanation:
Each tick is 0.1
So for example:
2.8 would be the eighth tick between 2 and 3.
-0.9 would be between 0 and -1 and will be the ninth tick.
First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.
a^2 + b^2 = c^2
In this problem,
a = 2
b = ?
c = 5
Plug our numbers into the formula above.
2^2 + b^2 = 5^2
Simplify our terms
4 + b^2 = 25
Subtract 4 from both sides
b^2 = 21
Take the square root of each side
b = √(21)
Now, we can solve for the area of triangle ABC
Area of a triangle = (h * b) / 2
h = height
b = base
In this problem,
h = √(21)
b = 5.0
Plug our numbers into the area formula of a triangle
Area = (√(21) * 5) / 2 = 11.46 square units
Answer:
Step-by-step explanation:
g(2) = 3(2) + 1 = 6 + 1 = 7
h(7) = 2(7) - 1 = 14 - 1 = 13
