Answer:
The distance between the two points is
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d =
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d =
∴ d =
∴ d =
∴ d =
∴ d =
∴ The distance between the two points is
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
x + 8 = 17
Step 2: Solve for <em>x</em>
- Subtract 8 on both sides: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9 + 8 = 17
17 = 17
Answer:
4.5 % alloy
Step-by-step explanation:
Let x = amt of 30% alloy
The resulting total is to be 25 oz, therefore:
(25-x) = amt of 5% alloy:
A typical mixture equation:
.30x + .05(25-x) = .20(25)
.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25
.25x = 3.75
x = 3.75%2F.25
x = 15 oz of 30% alloy required
then
25-15 = 10 oz of 5% alloy:
Check solution
.30(15) + .05(10) = .20(25)
4.5 + .5 = 5