Distance to the farm is 24 miles
Step-by-step explanation:
- Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.
Time taken by Mike = 0.5 hr
Time taken by Peggy = 2 hrs
Distance is calculated by the equation Distance = Speed × Time
Distance traveled by Mike = (x + 36) × 0.5
Distance traveled by Peggy = x × 2
- Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.
(x + 36) × 0.5 = 2x
0.5x + 18 = 2x
1.5 x = 18
⇒ x = 18/1.5 = 12 mph
- Step 3: Find the distance to the farm.
Distance to the farm = 2x = 24 miles
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
Answer:
first : x²-10x=39
{-3;13}
second : multiply both sides by 1\4
last is : {-1;5}
Equation of required line is:
Step-by-step explanation:
First of all we will convert both equations in slope-intercept form
Subtracting 5x from both sides
Subtracting 9 from both sides
The y-intercept is -9.
Other equation is:
Adding 3x on both sides
Dividing both sides by 4
As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal
Slope-intercept form of line is:
Putting values of b and m
Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly
Answer:
15.6
Step-by-step explaination:
So first you have to find how much longer the shadow is from the actual. That is 1.15384615385 or about 1.15.
You take that and divide it by 18 and you get 15.6
