Slope-intercept form is y=mx+b
we know m is 10 and we have x and y
if you plug in x, y and m and solve for b, like this
y=mx+b
1=10 (7) + b
1=70+b
-69=b
so now we know b is -69. just plug that in
the final answer is y=10x-69
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer:
f(x)=5x^2 + 9
Step-by-step explanation:
all numbers are odd
Answer:
If she buys a boat without a down payment, then the affordable price is 5,700.
Step-by-step explanation:
Her bank charges 5% interest per year.
Let, payment = p,
p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})
p = 5698.47
After round off p = 5700
Answer:
8.33333333333%
Step-by-step explanation:
50/6
