Answer:
y<=5
Step-by-step explanation:
2-5y>=-23
subtract 2 from each side
-5y>=-25
divide both sides by -5
y<=5
Answer:
28 cm
Step-by-step explanation:
Given that :
Area = 791 cm
Base, b1 = 26.5 cm
Base, b2 = 30 cm
Area, A of trapezoid :
A = 1/2 (a + b) h
Where a and b are the bases ;
791 = 1/2(26.5 + 30)h
791 = 0.5(56.5)h
791 = 28.25h
h = 791 / 28.25
h = 28 cm
The statement is False.
For this, it is enough to show a case in which the subtraction of two positive numbers is negative.
For this, we must choose two numbers.
Suppose we want to subtract the following numbers:
Number 1: 5
Number 2: 10
Subtracting both numbers we have:

We observe that the result is negative. Therefore, the given conclusion is false.
Answer:
Counterexample:

Answer:
x = -7
x = 5
Step-by-step explanation:
The standard form of quadratic equations is
Ax^2 + Bx + C = 0
The factors need to multiply together to be C and add together to be B.
The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.
The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.
x + 7 = 0
-7 -7 Subtract 7 from each side to solve
x = -7
x - 5 = 0
+5 +5 Add 5 to each side to solve
x = 5
Answer:
answer d 242 square feet
Step-by-step explanation: