Answer:
<h3>y = -7x - 9</h3>
Step-by-step explanation:
The standard from of equation of a line is expressed as;
y = mx+c
m is teh slope = -7
c is the intercept
Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;
y = mx+c
5 = -7(-2) + c
5 = 14 + c
c = 5-14
c = -9
Substitute m = -7 and c = -9 into the expression y = mx+c
y = -7x - 9
Hence the required equation of the line is y = -7x - 9
add the 2 angles: 89+80= 169
subtract 180-169= 11
11° is the measurement of the final angle
do sin(80)=12/x
x(sin(80))=12
plug in on calculator:
x=12/(sin(80))
We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.
The formula for the Perimeter of a rectangle is given by
P=2L+2W
where L is the length and W is the width of the rectangle.
Hence,
P=2(x)+2(9)
Simplifying this values would give us a result of,
P=2x+18
Therefore, 2x+18 is the expression that represent the perimeter of the picture frame.
The total distance is 15 miles.
Biking 75 miles in 300 minutes gives us the ratio 75/300 = 1/4, or 1 mile per 4 minutes.
Running 30 miles in 240 minutes gives us the ratio 30/240 = 1/8, or 1 mile per 8 minutes.
If she bikes 48 minutes, 48(1/4) = 48/4 = 12 miles.
If she runs 24 minutes, 24(1/8) = 24/8 = 3 miles.
This is a total distance of 12+3= 15 miles.
