Answer:
Step-by-step explanation:
Slope intercept form of a line is given by:
Where
m is the slope and b is the y-intercept
Given slope is
We can write:
Now to find b, we replace x with -3 and y with -4, given, so we have:
So, the equation is:
Now,
The standard form is given by:
So, we take x and y to left side and the constant to right side. Rearranging, we get:
The first answer choice is right.
The experimental probability of letter E is: 3/25
Step-by-step explanation:
The given diagram is the number of outcomes for each letter is given
We have to find the total number of outcomes for finding the experimental probability of letter E
So,
Total outcomes = n(S) = 5+12+8+10+6+9 = 50
Number of outcomes for Letter E = n(E) = 6
So the experimental probability will be:
Hence,
The experimental probability of letter E is: 3/25
Keywords: Probability, experimental probability
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Answer:
1.
2.
Step-by-step explanation:
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: .
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by . For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of
I hope that helped with your question!! :)
Also I'm an RSM student too and I didn't know how to do them before so I searched it up.