They will be 15 miles apart after one hour if they left the same point at the same time.
<h3>How do we measure and calculate the distance in Geometry?</h3>
The distance between two points in geometry can be calculated by using the Pythagoras theorem.
Mathematically, the Pythagoras theorem can be expressed as:
![\mathbf{d = \sqrt{x^2 +y^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Csqrt%7Bx%5E2%20%2By%5E2%7D%7D)
where;
- x and y are opposite and adjacent sides respectively.
![\mathbf{d = \sqrt{(9)^2 +(12)^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Csqrt%7B%289%29%5E2%20%2B%2812%29%5E2%7D%7D)
![\mathbf{d = \sqrt{81+144}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Csqrt%7B81%2B144%7D%7D)
![\mathbf{d = \sqrt{225}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Csqrt%7B225%7D%7D)
d = 15 miles
Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.
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the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
Substitute the values for both B and C coordinates, we have
Slope = ![\frac{2- 5}{1 - 4}](https://tex.z-dn.net/?f=%5Cfrac%7B2-%205%7D%7B1%20-%204%7D)
Find the difference for both the numerator and denominator
Slope = ![\frac{-3}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B-3%7D)
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
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Answer:
You already made an acc-
Step-by-step explanation:
Wdym?
Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
Answer:
Step-by-step explanation:
Area of a square = s²
s is the side length of the square
Given
s = 2^{7 1/2}
s = 2^15/2
Area = ( 2^15/2)²
Area = 2^15
Hence two area of the square is 2^15 inches