Out of the two units, ounce is smaller than pound and both have traditionally been used for different purposes. Whereas ounces are used to measure precious metals and spices as they are required in smaller quantities, pounds are used to measure fruits and vegetables, and interestingly, mass of people also.
Answer:
Step-by-step explanation:
Given Parallel lines Converse
a. ∠13 ≅ ∠17 a║c Corresponding angles
b. ∠4 ≅ ∠9 d║e Exterior alternate angles
c. m∠20 + m∠21 = 180° a║b Consecutive interior angles
d. ∠8 ≅ ∠19 Vertical angles
e. ∠10 ≅ ∠23 b║c Interior alternate angles
f. m∠14 + m∠17 = 180° a║c Consecutive interior angles
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
Keeping in mind that, there are 5280 feet in 1 mile and 60 minutes in 1 hour.
Answer:
The slope is 45.
Step-by-step explanation:
Using the slope formula by two points:
m=(y2-y1)/(x2-x1)
m=(210-120)/(4-2)
m=45
