Answer: y - 19 = 2(x - 5)
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (5,19) and (-5,-1)
y2 = - 1
y1 = 19
x2 = - 5
x1 = 5
Slope,m = (- 1 - 19)/(- 5 - 5) = - 20/- 10 = 2
To determine the equation, we would substitute x1 = 5, y1 = 19 and m= 2 into the point slope form equation. It becomes
y - 19 = 2(x - 5)
Answer:
x=3
Step-by-step explanation:
minus 3x on both sides
after you've subtracted 3x from both sides you then need to minus 12 from both sides
Last step is going to be dividing by 2 and you should get the answer of 3
Answer:
50
Step-by-step explanation:
4(33-8)÷2
4(25)÷2
100÷2
50
Answer:
All the right triangles will be similar.
Step-by-step explanation:
See the attached diagram.
Let us assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.
Since the slope of the line OP is constant and assume that it makes x° with the positive x-axis.
Hence,
⇒
Therefore, the sides of the two right triangles are in the same ratio and hence, Δ ABC and Δ A'B'C' are similar.
Hence, all the right triangles will be similar. (Answer)
Answer: Jason has 7 pennies and 6 nickels.
Step-by-step explanation:
Let be "p" the number of pennies that Jason has and "n" the number of nickels that Jason has.
Set up a system of equations:
You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:

Susbtitute this value into the first equation and solve for "p":
