C. The Triangle Inequality Theorem States that any two sides of a triangle must be greater than the third side. It cannot be A because 35+40= 75, which is not greater than 75. It cannot be B because 40+30= 70, which is not greater than 75. It cannot be D because 35+40= 75, which is not greater than 80. It is C because 40+30= 70, which is greater than 65.
The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
Answer:
8x+$0.75x.
Step-by-step explanation:
8x is the hours you babysit and $0.75x the miles you drive.
Answer:
Answer is z= 43/36
Step-by-step explanation:
We have given,
2 13/18 - z = 1 19/36
Since 2 13/18 = 49/18 and 1 19/36 = 55/36
So we can write,
2 13/18 - z = 1 19/36
or 49/18 - z = 55/36
or 49/18 - 55/36 = z
or (98 -55)/36 = z
or 43/36 = z
Hence we got z = 43/36
K^2-5k-50
(k-10)(k+5)
This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).
Distribute to check.
