Answer:
The point slope form is: (y - 5) = 6/11(x - 7)
Step-by-step explanation:
Giving points are: (7, 5) and (-4, -1)
Find the slope m:
m = (y - y1)/(x - x1)
m = (5 - (-1))/(7 - (-4))
m = 5 + 1/7+ 4
m = 6 / 11 = 6/11
Use the point slope form with point (7, 5) and solve for y:
(y - y1) = (x - x1)
(y - 5) = 6/11(x - 7) - this is the point slope form
y - 5 = 6/11x - 42/11
y = 6/11x - 42/11 + 5
y = 6/11x - 42/11 + 55/11
y = 6/11x + 13/11 - This is the y intercept form
Proof, use (7, 5):
f(x) = 6/11x + 13/11
f(7) = 6/11(7) + 13/11
= 42/11 + 13/11
= 55/11 = 5, giving (7, 5)
One acre of land is equal to 4046.86 sq.m.
To know how far they can throw the ball from corner to corner can be interpreted in two ways: throwing the ball diagonally across the field or throwing the ball horizontally across the field. For the first question, since the field is a square, you can use the equation Diagonal of Square = A x sq.root of 2.
In this case, the answer would be 89.97 m.
If the ball is thrown horizontally across the field, then you would only need to know the length of one side of the square, which is the square root of the area. Doing this would give you the answer 63.61 m.
Answer:
n = -4
Step-by-step explanation:
Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".
Let me show you:
n ÷ 2 = -2
if you know your integer math, you should know that...
-4 ÷2 = -2 (this is the correct equation)
Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
Answer:
Step-by-step explanation:
You have to use Point Slope Form:
- y - Y1 = m (x - X1)
- m is the slope
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
About Problem:
- Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
- -3 represents X1 in y - Y1 = m (x - X1) form
- -1 represents Y1 in y - Y1 = m (x - X1) form
y - Y1 = m (x - X1)
y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form
If you want to solve it, & put it in Slope Intercept form, it would look like this:
y = mx + b
y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...
Really really sorry if I'm incorrect...