So when an equation or set of equations are parallel, that means that the equations have the same slope.
for the given equation, it has a slope of 2.
so to find the equation of the other line, you substitute the coordinate and slope into the equation y=mx+b.
-2=2(3)+b
-2=6+b
-8=b
So your function that is parallel has a slope of 2 and a y intercept at -8 or (0,-8).
Then just substitute those values into the equation.
y=2x-8
Answer:
x=7
Step-by-step explanation:
The path between the two houses and the path the homing pigeon will fly form a triangle. (Shown in picture)
To solve this problem you are finding the hypotenuse of the triangle. This can be solved using the Pythagorean theorem: a^2 + b^2 = c^2
Start by identifying your variables:
a: 6 (miles north)
b: 8 (miles west)
c: miles of the homing pigeon’s path
After identifying your variables, substitute the values into your equation.
This results in:
6^2 + 8^2 = c^2
Next, square both of your a and b values by multiplying each value by temselves. 6 x 6 is 36 and 8 x 8 is 64
So...
This leaves you with:
36 + 64 = c^2
After that, add your values together to get one value on each side of the equal sign.
36 + 64 = 100
This leaves you with 100 = c^2
To find your final answer, square root both sides to isolate and solve for the c value.
The square root of 100 is 10.
So your final answer is 10 miles.
The homing pigeon will fly 10 miles between Joe and Raul’s houses.
Step-by-step explanation:
the answer is -86 mark as brainliest or rate this if u found this helpful :)
It is given in the question that,
A flower garden has 12 sunflowers for every 45 irises.
And we have to find the unit rate for the number of irises per sunflower.
And for that we have to divide number of Irises by number of Sunflower. That is
And that's the required unit rate .
