Answer:
x = 7 , y = 7
Step-by-step explanation:
A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is
x = 7
Using Pythagoras' identity in the right triangle, then
y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
y =
=
=
×
= 7
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
Answer:
c,=2d=-2
Step-by-step explanation:
<span>1, 7, 23, 161 is what can go into 161</span>
Answer:
9/2 or 4.5
Step-by-step explanation:
15/4x6/5 = 3/2x3 = 9/2