Answer:
x = -6/5
y = -8/5
Step-by-step explanation:
2x + y = -4
Y = 3x + 2
Substitute the second equation into the first equation
2x + 3x+2 = -4
Combine like terms
5x +2 = -4
Subtract 2 from each side
5x+2-2=-4-2
5x = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Now we need to find y
y = 3x+2
y = 3(-6/5)+2
y = -18/5 + 10/5
y = -8/5
The y-intercept of the function is at y = -3 so the options that don’t include it are off the table. The only possible answer is option C. Option A doesn’t work because plugging in positive values would give negative numbers within the square root which isn’t defined in the real numbers.
9514 1404 393
Answer:
Step-by-step explanation:
The lateral surface area is the product of half the circumference, and the slant height:
LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²
The total surface area adds the area of the base to that:
A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²
A = 392.16π cm²
Answer:
4
Step-by-step explanation:
These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,
→ 5x ― 6 = 3x + 2
→ 5x ― 3x = 2 + 6
→ 2x = 8
→ x = 8/2
→ x = 4
<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>.</u>
