9514 1404 393
Answer:
(3, 0)
Step-by-step explanation:
The line through these points intersects the x-axis at x=3.
The x-intercept is (3, 0).
_____
The x-intercept can be computed from ...
x-intercept = x1 -y1(x2 -x1)/(y2 -y1)
= -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6
x-intercept = 3
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Here, it is simple enough to plot the points and see where the line crosses the x-axis.
Okay so, the formula we can use for this problem will be x= 410/.82, x being the original price of the TV. The .82 was figured to make up for the 18% lost from the original price. 410/.82=500. so the original price of the TV would be $500. To check our answer we can multiply 500 by the sale price and subtract that amount from the original $500. Like so: 500-(500*.18)=410.
<h3>
Answer: 69.1 cm</h3>
Work Shown:
C = 2*pi*r
C = 2*3.14*11
C = 69.08
C = 69.1
This is the approximate distance around the circle, aka the perimeter.
see the attached figure to better understand the problem
we know that
in the right triangle ABC
cos 56°=AC/AB
where
AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building
AB is the hypotenuse-----> 148 ft 2 in
56 degrees------> is the angle of elevation
so
cos 56°=AC/AB---------> solve for AC
AC=AB*cos 56°
AB=148 ft 2 in
convert 2 in to ft
1 ft -----> 12 in
x ft------> 2 in
x=2/12-----> x=0.17 ft
AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft
AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft
convert 0.86 ft to in
0.86 ft=0.86*12-----> 10.32 in
distance AB=82 ft 10 in
the answer is
the distance from the surveyor to the building is 82 ft 10 in
Answer:
3.6
Step-by-step explanation:
2(5m-8)+3(m+2)=12+4(2m-1)
10m - 16 + 3m + 6 = 12 + 8m -4
13m - 10 = 8 + 8m
13m = 18 + 8m
5m = 18
m = 3.6