Answer:
k=86
Step-by-step explanation:
Answer:
-40
Step-by-step explanation:
Since x is 10 you need to multiply 10*-4 which equals -40.
The median of the triangle is a segment that connects the vertex of the triangle to the midpoint of the side opposite to the vertex. <span>The altitude of the triangle is a segment that connects the vertex of the triangle to the side opposite to the triangle, which intersects that side at exactly 90°.</span>
All you have to do is substitute the y value from the 1st equation into the second equation and solve...
a) y= 2-x
5x + 4y = 5
Substitute (2-x) into the second equation anywhere there is a y...
5x + 4y = 5
5x + 4(2-x) = 5
Now solve
5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3
Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...
y = 2 - x
y = 2 - (-3)
y = 2+3 = 5
You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).
Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...
y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5
True statement... it checks!
note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
Answer:
Step-by-step explanation:
Distance = speed × time
A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is
62 × 2.5 = 155 miles
Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is
57 × 2.5 = 142.5 miles
A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is
155 + 142.5 = 297.5 miles
The distance between both cars after two and a half hours is
725 - 297.5 = 427.5 miles
