Answer:
3
Step-by-step explanation:
the equation would be 5 = 3(3) - 4
which is 9 - 4 = 5
Answer:
Vanilla = 10 sundaes
Step-by-step explanation:
Total sundaes = 25
1/5 of the sundaes are mint ice cream
Mint ice cream = 1/5 of 25
= 1/5 * 25
= 25/5
= 5
Sundaes remaining = total sundaes - sundaes for mint ice cream
= 25 - 5
= 20 sundaes
Sundaes remaining = 20 sundaes
1/2 of the remaining sundaes are chocolate
= 1/2 of 20
= 1/2 * 20
= 20/2
= 10
Chocolate ice cream = 10
The rest will be vanilla
Sundaes remaining = 20 - 10
= 10 sundaes
Vanilla = 10 sundaes
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
(4,2)(3,-3)
slope = (y2 - y1) / (x2 - x1)
slope = (-3-2) / (3 - 4) = -5/-1 = 5....so ur slope is 5
