To be perpendicular the product of the two slopes must equal -1.
2m/5=-1
2m=-5
m=-2.5
since y=mx+b we have so far
y=-2.5x+b, using point (-3,4) we can solve for b
4=-2.5(-3)+b
4=7.5+b
b=-3.5 so
y=-2.5x-3.5 We can multiply the whole equation by two so that the coefficients are integers...
2y=-5x-7 add 5x to both sides
5x-2y=-7
Answer:
x = 0.36
Step-by-step explanation:
22.5x − 4.6 = 3.5
first, add the -4.6 over
22.5x = 8.1
then, divide 8.1 by 22.5
x = 0.36
best of luck!
For the first one multiply each term by the LCM of 4 and 6, which is 12:-
15x -36 = 2y..................(1)
and second multiply by 5:-
2x + y = 9..............(2)
solving:-
from equation (2) y = 9-2x, substitute in equation (1):-
15x - 36 = 2(9-2x) = 18 - 4x
19x = 54
x = 54/19 = 2.84
so y = 9 - 2(2.84) = 3.32
<span>D. 20 + 2âš10 units
To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values.
So the length of side AB is
sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10.
The length of side BC is
sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10.
And finally, the length of side AC is
sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40)
= 2 * sqrt(10)
Finally, add all the lengths together.
10 + 10 + 2âš10 = 20 + 2âš10</span>
Answer:
$6
Step-by-step explanation:
Find 7.5% of the sneaker price, by multiplying the price by 0.075:
79.95(0.075)
= 6
So, approximately, the tax will be $6
