Answer:
c=8
Step-by-step explanation:
Simplifying
3c + -15 = 17 + -1c
Reorder the terms:
-15 + 3c = 17 + -1c
Solving
-15 + 3c = 17 + -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-15 + 3c + c = 17 + -1c + c
Combine like terms: 3c + c = 4c
-15 + 4c = 17 + -1c + c
Combine like terms: -1c + c = 0
-15 + 4c = 17 + 0
-15 + 4c = 17
Add '15' to each side of the equation.
-15 + 15 + 4c = 17 + 15
Combine like terms: -15 + 15 = 0
0 + 4c = 17 + 15
4c = 17 + 15
Combine like terms: 17 + 15 = 32
4c = 32
Divide each side by '4'.
c = 8
Simplifying
c = 8
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:
3. Solve the square root:
4. Simplify the rest:
5. Separate the solutions:
Thus, options B and C are the answers.
hope this helps!
The dilation scale factor is applied to all lengths.
... A'B' = (10 in)×25 = 250 in.
Answer:
13) 2 g
14) 5,000 mL
15) 104,000 m
16) 160 mm
17) 5,600,000 mg
19) 0.25 km
Step-by-step explanation:
13. Convert 2,000 mg to g:
1 mg = 0.001 g
(2,000 mg * 0.001 g) / 1 mg = 2 g
14. Convert 5 L to mL:
1 L = 1000 mL
(5 L * 1000 mL) / 1 L = 5,000 mL
15. Convert 104 km to m:
1 km = 1000 m
(104 km * 1000 m) / 1 km = 104,000 m
16. Convert 16 cm to mm:
1 cm = 10 mm
(16 cm * 10 mm) / 1 cm = 160 mm
17. Convert 5.6 kg to mg:
1 kg = 1,000,000 mg
(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg
19) Convert 250 m to km:
1 m = 0.001 km
(250 m * 0.001 km) / 1 m = 0.25 km
