20% of 40 is 8 :) hope that helps
Answer:
0.16/8.5
Step-by-step explanation:
so to get the slope use (Y2-Y1) over (X2-X1)
this means that the formula is
1/2-1/3
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25.5- 17
Answer:
f(3) = 19
Step-by-step explanation:
Step 1: Define
f(x) = 2x² + 1
x = 3
Step 2: Substitute and Evaluate
f(3) = 2(3)² + 1
f(3) = 2(9) + 1
f(3) = 18 + 1
f(3) = 19
Answer:
Step-by-step explanation:
Make the line segment joining the two points into the hypotenuse of a right triangle. Then the distance between points is the length of the hypotenuse.
Use the Pythagorean Theorem to determine the length of the hypotenuse.
hypotenuse = √(5²+3²) = √34 ≅ 5.8 units
Solve the following system:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4
In the first equation, look to solve for x:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4
1.8 x - 0.5 y = (9 x)/5 - y/2 and -6.4 = -32/5:
{(9 x)/5 - y/2 = -32/5
Add y/2 to both sides:
{(9 x)/5 = 1/10 (5 y - 64)
{0.6 x + 2.1 y = 2.4
Multiply both sides by 5/9:
{x = 1/18 (5 y - 64)
{0.6 x + 2.1 y = 2.4
Substitute x = 1/18 (5 y - 64) into the second equation:
{x = 1/18 (5 y - 64)
{2.1 y + 0.0333333 (5 y - 64) = 2.4
2.1 y + 0.0333333 (5 y - 64) = 2.1 y + (0.166667 y - 2.13333) = 2.26667 y - 2.13333:
{x = 1/18 (5 y - 64)
2.26667 y - 2.13333 = 2.4
In the second equation, look to solve for y:
{x = 1/18 (5 y - 64)
{2.26667 y - 2.13333 = 2.4
2.26667 y - 2.13333 = (34 y)/15 - 32/15 and 2.4 = 12/5:
(34 y)/15 - 32/15 = 12/5
Add 32/15 to both sides:
{x = 1/18 (5 y - 64)
{(34 y)/15 = 68/15
Multiply both sides by 15/34:
{x = 1/18 (5 y - 64)
y = 2
Substitute y = 2 into the first equation:
Answer: {x = -3, y = 2
