Answer:
That's the answer
Step-by-step explanation:
AB + AC must equal BC. Draw the line and points to see why.
4x-3 + 5x - 16 = 7x + 5
9x - 19 = 7x + 5
2x = 24
x = 12
Answer:
{y = x/4 + 2, 3 y = -(3 x)/4 - 6}
Step-by-step explanation:
No angles are not always measured in degrees
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
Answer:
The equation of the line is y = 4x + 13
Step-by-step explanation:
In this question, we want to write the equation of the line using the point slope form.
Mathematically, the point slope form can be represented as;
(y-y1) = m(x - x1)
where x1 = -2 , y1 = 5 and m which is the slope is 4
Plugging these values into the equation, we have;
(y-5) = 4(x - (-2))
y-5 = 4(x + 2)
y -5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
