3x-5=19-x
3x-5-19+x=0
4x-24=0
4x=24
x=6
Answer:
2nd option is the right answer
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
Answer:
x=-2, y=-3
Step-by-step explanation:
we can rearrange the questions to make it easier
y=3x+3
2y=-3x-12
if you add the two equations, you get
3y=0x-9
so y=-9/3 = -3
plug y into one of the equations
-3=3x+3
-6=3x
x=-2
and then check your work by plugging into the other equation:
2*-3=-3(-2)-12
-6=6-12
-6=-6
