Answer; c^2 = a^2 + b^2
c = 17 inches
a = 8 inches
b^2 = c^2 – a^2
b^2 = 17^2 – 8^2
b^2 = 289 – 64
b^2 = 225
b = square root of 225
b = 15 inches ≈ c.
Step-by-step explanation:
For two points (x₁, y₁) and (x₂, y₂), the distance between them is:
d² = (x₁ − x₂)² + (y₁ − y₂)²
The order of points 1 and 2 don't matter. You can switch it:
d² = (x₂ − x₁)² + (y₂ − y₁)²
This is basically the Pythagorean theorem for a coordinate system.
Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:
d² = (4 − 1)² + (6 − 2)²
d² = 3² + 4²
d² = 9 + 16
d² = 25
d = 5
If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.
For example, the distance between (-1, -2) and (4, 10) is:
d² = (4 − (-1))² + (10 − (-2))²
d² = (4 + 1)² + (10 + 2)²
d² = 5² + 12²
d² = 25 + 144
d² = 169
d = 13
6.
the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).
[just put a dot on the number four that's right under the letter y]
the slope of the line is positive, so it goes up from left to right.
Start at the y-intercept. Move up 2 and then move right 1.
You are now at the point (1,6).
[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]
7. y= -1/2-3
8. y=3x+4
The answer is y=-2x+4. The y-intercept is (0,4) and the slope is -2.
Let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72
