Let x represent the shorter leg. Then the Pythagorean theorem tells us
x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
Answer:
2., an irrational number
Step-by-step explanation:
9 x _ = 162 (ABCD) 162 divided by 9 = 18
9 x 18 = 162
6 x 18 = 108ft2
Due to the length being identical, if you work out the width and see what it can be timsed by to get the Area what you times the width with is your Length and as the length is the same, you times 6 by 18 which gives to the area of 108 ft2
Answer:
Red : 5/12
Blue : 1/3
Green: 1/6
Yellow : 1/12
Step-by-step explanation:
5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles
5 red marbles / 12 total marbles = 5/12
4 blue marbles / 12 total marbles = 4/12 = 1/3
2 green marbles / 12 total marbles = 2/12 = 1/6
1 yellow marbles / 12 total marbles = 1/12
Find m or the slope of the two coordinates first.
M = y2-y1 / x2-x1
= 5 - (-1) / 1 - (-1)
= 6 / 2
= 3
Now that you have the slope, we can use the equation of a line which is :
y - y1 = m(x - x1)
Substitute any coordinate.
I'll go with (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
And that's the equation in the slope intercept form or y=mx+b.
