Refer to attachment for your answer
Answer:
Ava's altitude is 3 meters.
Step-by-step explanation:
The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.
So that applying the Pythagoras theorem, we have;
=
+ ![/Adj 2/^{2}](https://tex.z-dn.net/?f=%2FAdj%202%2F%5E%7B2%7D)
=
+ ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
25 = 16 + ![x^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D)
= 25 - 16
= 9
x = ![\sqrt{9}](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D)
= 3
x = 3 meters
Thus, Ava's altitude is 3 meters.
Answer:
The greatest common factor is 8.
Step-by-step explanation:
You can evenly split 8 and 48 into 8.
I hope i helped.
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Answer: The slope is -11/-12
Step-by-step explanations
y2-y1/x2-x1 is the formula to find slope
Answer:
<u> 2y + 3x = 3</u>
Step-by-step explanation:
The standard form of equation of a line is expressed as;
y = mx+c
m is the slope
b is the intercept
We are to find the equation of a line passing through the points (-3,19) and (6,-2)
First get the slope
m = y2-y1/x2-x1
m = -2-19/6-(-3)
m = -21/9
m = -7/3
Get the y- intercept b;
Substitute the coordinate (6, -2) and m = -7/3 into the expression y = mx+b and get b;
-2 = -7/3(6) + c
-2 = -7/2 + c
c = 7/2 - 2
c = (7-4)/2
c = 3/2
Substitute the slope and intercept into the formula
y = mx+b
y = -7x/2 + 3/2
Multiply through by 2;
2y = -7x + 3
2y + 7x = 3
Hence the required equation is<u> 2y + 7x = 3</u>