Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
Answer:
vertical
<em>Vertically </em><em>opposite </em><em>angles </em><em>make </em><em>a </em><em>up </em><em>a </em><em>3</em><em>6</em><em>0</em><em> </em><em>degree </em><em>angle </em>
Answer:
$1.50
Step-by-step explanation:
Divide $6 by 4 hot dog meals to get the value
The straight line is given by the equation
y=kx+b
We substitute coordinates of points
3=2k+b (1)
9=4k+b (2)
We give a system of equations
Solution of this system
(1) 2k=3-b
k=(3-b)/2
(2) 9=2(3-b)+b
9=6-b
b=-3
k=3
Answer: y=3x-3
Answer:
$9450
Step-by-step explanation:
Answer:
A = $9,450.00
A = P + I where
P (principal) = $9,000.00
I (interest) = $450.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 9,000.00(1 + 0.05/1)(1)(1)
A = 9,000.00(1 + 0.05)(1)
A = $9,450.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of 5% per year compounded 1 times per year over 1 years is $9,450.00.