<h3>Answer: 8x+3y = 16</h3>
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Work Shown:
x = number of hours spent running
8x = distance he runs (since he runs at 8 mph)
y = number of hours spent walking
3y = distance he walks (he walks at a speed of 3 mph)
8x+3y = total distance = 16 miles
8x+3y = 16
This equation is in standard form Ax+By = C
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Extra Info
Solving for y will get
8x+3y = 16
3y = -8x+16
y = (-8x+16)/3
y = (-8x)/3+16/3
y = (-8/3)x+16/3
This is in slope intercept form y = mx+b
m = -8/3 is the slope
b = 16/3 is the y intercept
Answer:
ED: 6.5 cm BE = 14.4 cm
Step-by-step explanation:
Add 20 and 5 to get side AC.
25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.
Multiply 26 by the SF to get AD.
Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)
To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.
Using that number, multiply it with 18 to get BE.
The answer should be 14.4 cm.
This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.
Answer:
x = -3, y = -1
Step-by-step explanation:
Solve by substitution:
First make the second equation in terms of y:
y = -x-4
Next, since we found what y is, plug it into the first equation and solve for x:
-3x + 5(-x-4) = 4 Plug in
-3x - 5x - 20 = 4 Distribute
-8x - 20 = 4 Simplify
-8x = 24
x = -3
We have found that x = -3. To find y we need to plug x back into any of the equations. Let's do equation #2.
(-3) + y = -4 Plug in
y = -1 Simplify
So, y = -1 and x = -3. Let's check this in the first equation to make sure it is correct:
-3(-3)+ 5(-1) = 4 Plug in
9 + (-5) = 4 Simplify
9 - 5 = 4
4 = 4
Since both sides are equal that means we are correct!
Hope this helps!!
To solve this problem, you must know that the measure of an inscribed angle is 1/2 the measure of the arc that it intercepts.
<FNR = 38, and we are trying to find the measure of arc RF (which is the arc that this angle intercepts)
Using the above equation, we know that FNR = 1/2 * RF
or
38 = 1/2 * RF
Therefore when simplified,
RF = 76 degrees
Your answer is the third option, or 76 degrees.
Answer:
10 feet.
Step-by-step explanation:
A simple 40-30 type equation
