Answer:
The equation in the point-slope form will be:
Step-by-step explanation:
The point-slope form of an equation is written as:
where m is the slope, and (x₁, y₁) is a point on the line.
Now, we will substitute the values of m and (x1, y1) in the given equation. Here,
m=2
and
(x1, y1) = (5, -8)
x1 = 5
y1 = -8
Therefore, the equation in the point-slope form will be:
Answer:
17.4 cm²
Step-by-step explanation:
base = 3x2.6x0.5 = 3.9 cm²
3 sides = 3(3)(3)(0.5) = 13.5 cm²
13.5 + 3.9 = 17.4 cm²
Answer:
Step-by-step explanation:
Answer:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
Explanation:
Start with:
cot
x
−
√
3
=
0
cot
x
=
√
3
This means that:
cos
x
sin
x
=
√
3
1
So the adjacent is length
√
3
and the opposite is length 1. This set us up for the 30/60/90 triangle and the angle we're looking at is the
30
o
or
π
6
one.
So now the question is which quadrants are we looking at. Cotangent is positive in Q1 and Q3. The angles we're looking at, then, are
π
6
and
π
+
π
6
=
7
π
6
.
This question does not limit our answer to any particular domain, and so we need the general solution, which is:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
Answer:
what functions?
Step-by-step explanation:
30 is 20% of 150
Working out percentage problems of the form "30 is 20 percent of what number?"
We have, 20% × x = 30
or,
20/100 × x = 30
Multiplying both sides by 100 and dividing both sides by 20,
we have x = 30 × 100/20
x = 150
If you are using a calculator, simply enter 30×100÷20, which will give you the answer.