Answer:
Step-by-step explanation:
Replace x with -5
2(-5)+7
-10+7
-3
Answer:
x = 12
, y = -3
Step-by-step explanation:
Solve the following system:
{2 x + 7 y = 3 | (equation 1)
x = -4 y | (equation 2)
Express the system in standard form:
{2 x + 7 y = 3 | (equation 1)
x + 4 y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y/2 = -3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{2 x+0 y = 24 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 12 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 12
, y = -3
Answer:
the picture is black, pls retake
Step-by-step explanation:
Answer:
y = 3
+ 4
Step-by-step explanation:
Create 2 equations using values from the table to find a and b.
Using (0, 10), then
10 = acos0° + b ( cos0° = 1 ), thus
a + b = 10 → (1)
Using (90, 4), then
4 = acos90° + b ( cos90° = 0 ), thus
b = 4
Substitute b = 4 into (1)
a + 4 = 10 ( subtract 4 from both sides )
a = 6
Thus
y = 6cosx° + 4
When x = 45°, then
y = 6cos45° + 4 = 6 × 
+ 4 = 3 + 4
9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
