Slope of the line
(8-6)/(2-4)
2/-2
-1
General equation of the line
y = mx + c
m=-1
so
y = -x + c
if it passes through (2,8)
8 = (-1*2) + c
8 = -2 + c
c = 10
so the equation is
y = -x + 10
<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.
Answer:
D. plane
Step-by-step explanation:
A. is incorrect because three points don't make a point.
B. is incorrect because all points in a ray are colinear.
C. is incorrect because the three points are not colinear.
D. is correct because, for a given three different points, there is a plane that contains them.
Let
x---------> time in minutes used by Eric to study
y---------> time in minutes used by Kendra to study
z---------> time in minutes used by Geraldo to study
we know that
x=3y------> equation 1
x=0.5z
z=2x--------> equation 2
y=20 minutes --------> equation 3
substitute equation 3 in equation 1
x=3*20=60 minutes
find the value of z in equation 2
z=2*60=120 minutes
therefore
<u>the answer is</u>
The time in minutes used by Geraldo to study was 120 minutes
To find the slope ...
1) (5,-1)and(2,4)
4+1 / 2-5
5/-3
So slope for #1 would be -3/5