Answer:
Solving the inequality 
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:
So, solving the inequality we get
The graph of the inequality is shown in figure attached.
Answer:
The system of equations is:
x + y = 15
xy = 15
Step-by-step explanation:
solve the first for y and substitute in the second:
y = 15-x
x(15-x) = 15
15x - x� = 15
15x - x� - 15 = 0
-x� + 15x - 15 = 0
x� - 15x + 15 = 0
Answer:
x=8
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = 10^2
36 + x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
Answer:
Step-by-step explanation:
1)a) Abscissa of O 0
Abscissa of A 4
Abscissa of B -3 {opposite of 3}
Abscissa of C 3 {3 is the only positive integer like A}
Abscissa of D -4.5
Abscissa of E -6
Abscissa of F -1 {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}
b) OB = 3 units
DA = 8.5 {4.5 +4 = 8.5}
