-1/6 + 2/3 (9-3/4)-1/2
= -1/6 + 2/3 (33/4) -1/2
= -1/6 + 11/2 - 1/2
= 16/3 - 1/2
= 29/3
Answer:
<h2>r = 10</h2>
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the equation:
Therefore we have
the center (0, 0)
radius r = 10
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114
Answer:
PT = 1.5 , VT = 1.5√3
Step-by-step explanation:
Given
PV = 3
With reference angle 60°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 60° = p/h
√3 / 2 = p / 3
p = √3 * 3 / 2
p = 1.5√3
With reference angle 30°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 30° = p/h
1/2 = p/ 3
p = 1.5
Hope it will help :)❤
