Answer:
They have the same degree
Step-by-step explanation:
They have the same degree due to them being corresponding angles
Complete the table and write the equation
x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?
Equation: y = ____ x + _____
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substituting:
[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]
This value is used in the slope-point form of the line:
[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]
Where (h,k) is a point from the table, select for example (3,9):
[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]
Operate:
[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]
[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]
Now complete the table.
For x=0:
[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]
[tex]y=\frac{21}{4}[/tex]
For x=15
[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]
[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]
y=24
For y=1.5, find x:
[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]
Operate:
[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]
Multiply by 4:
[tex]\displaystyle 6-21=5 x[/tex]
Solve:
[tex]x=-15/5=-3[/tex]
x=-3
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?
Answer:
$22.50
Step-by-step explanation:
$500.00 × 0.045=22.50
6+7×4+34=56 are they equal
No its not, the equation your showing right now adds up to 68
Answer:
No
Step-by-step explanation:
6+7×4+34=56
Step 1 - (PEMDAS)
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Simplify Using PEMDAS :
7 • 4 = 28
6 + 28 + 34 = 56
68 = 56 NOT EQUAL
What is the slope of line p
square root of 9 on a graph
Answer:
I think the answer is 3
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
Which of the following is considered an asset?
Answer:
b car lone
Step-by-step explanation:
hope it helps
Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water
Answer:
Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water
Recipe 2: 2/3tbs per cup
Recipe 3: 3/5tbs per cup
Recipe 4: 1/3tbs per cup
Step-by-step explanation:
To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.
Recipe 1: 4 tbs lemonade mix, 12c sparkling water.
4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.
Recipe 2: 4tbs Lemonade, 6c water
4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.
Recipe 3: 3 tbs lemon, 5c water
Recipe 3 requires 3/5 tablespoon per cup of sparkling water.
Recipe 4: 1 tbs, 3c water
Recipe 4 requires 1/3 tablespoon per cup of sparkling water.
Hope this helped!
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7
convert 8o liters to gallons. round answer to the nearest tenth.
Hello there! Your correct answer would be 21 gallons.
When you convert 80 liters to gallons.. It would be 21 gallons.
In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.
✨ There is your answer, have a nice day! ✨
(Kinda figured you meant "80")
⌨ Please give me brainlest!! ⌨
Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.
Answer:
24 centimeters
Step-by-step explanation:
Simplify:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]
= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]
= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30-19}{8}[/tex]
= [tex]\frac{11}{8}[/tex] → C
The simplification of the given equation is 11/8. thus option /c is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.
The absolute value function always gives a positive result, which is;
| - a | = | a | = a
Given that | 12 - 3 |/4 - | 23 -42 | /8
| 12 - 3 |/4 - | 23 -42 | /8
| 15 |/4 - | -19 | /8
= 15/4 - 19/8
= 30/8 - 19/8
= 11/8
Therefore, the simplification of the given equation is 11/8. thus option /c is correct.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
How much interest would $1,000,000 earn at 2% compound daily, in one day?
Answer:
$54.79 is the answer
Step-by-step explanation:
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
please help asap!!! will give brainliest answer
Answer:
Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection
Step-by-step explanation:
1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
Answer:
y - 4= -2(x - 2)
Step-by-step explanation:
(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)
So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.
Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .
So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)
I’ll mark brainliest this is 10 points!!!
Question: If p and q are integers, then all of these quotients are equivalent, except....?
Answer:
C
Step-by-step explanation:
We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Turn this into numerical form -> one-half the sum of x and 12
Answer: 1/2(x+12)
Step-by-step explanation:
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge
What is times plus 4
Answer:
you forgot the number before times
Step-by-step explanation:
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
slope=?
please help
Answer: It's 4
Step-by-step explanation: 12-8 is 4, 4-3 is 1
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
Answer:
1.25 pints
Step-by-step explanation:
gallon king!!!
1 gallon king has 4 queens (4 quarts)
1 queen (quart) has a 2 princes (pints)
1 prince has 2 cats (cups)
one cup has 8 oz
put it all together:
2 and 1/2 cups
2 cups = 1 pint
1 pint and 1/2 cup
1/2 cup is 1/4 of a pint
sooo... it's 1.25 pints!
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
Y=8 when x=20 find y when x= 30
Answer:
y=13
Step-by-step explanation:
if x=20 when y=8 (we can creat equation )
x=2y+4 (you can prove that the equation is correct by substitute )
so the question is if x=30 find the value of y
30=2y+4
30‒4=2y
26=2y
26/2=2y/2
13=y
i hope this helps you
7(n+4)=21 what is n?
Answer:
-1
Step-by-step explanation:
divide both sides by 7 and you will get (n+4)=3
then subtract 4 on both sides and get n is equal to -1
Answer:
-1
Step-by-step explanation:
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation: