Answers
Answer:
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (4,-1) and (0,3)
[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex] :
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
I hope this helps!
Related Questions
The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?
Answers
Step-by-step explanation:
area of triangle,=1/2*base*height
30=1/2*10/h
h=6cm
Answer: Height=6cm
Step-by-step explanation:
Area of triangle =30cm²
Base=10cm
Height=?
Area=1/2*base*height
30=1/2*10*height
Height=30*2/10
Height=6cm
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.
Answers
Answer:
standard deviation on edge
Step-by-step explanation:
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
The standard deviation is the statistic that should be used to compare the spread of two sets of data.
The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.
By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.
Thus,
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
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Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answers
Answer:
0, 8, 16, 24, 32
Step-by-step explanation:
plug in the values given for x into the 8x+8 equation
Example:
8(-1)+8
8(0)+8
Answer:
(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)
Step-by-step explanation:
To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,
y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)
Isaac buys a used dirt bike that he pays for in monthly payments. He pays $218.21 each month. If he makes 12 monthly payments, how much does Isaac spend on the dirt bike in all?
Answers
Answer:
$2618.52
Step-by-step explanation:
we multiply each monthly payment by the total amount of monthly payments to figure out the overall cost
218.51*12 = 2618.52
Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse
Answers
Answer:
63
Step-by-step explanation:
I side=9 nails*1= 9nails
7 sides= 9*7 nails= 63 nails
Each birdhouse requires 63 nail.
Hope this helps!
do anybody know the answer to dis
53.9 - 5.07
Answers
Answer:
48.83
Step-by-step explanation
Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.
Answers
Answer:
change = 100y -np
Step-by-step explanation:
The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.
The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.
Her change will be the difference between what she offered in payment and what she owes.
change = 100y -np
Help me on this mathwork please
Answers
Answer:
m∠I = 56°
m∠1 = 30°
Step-by-step explanation:
x- (2x + 1) = 8- (3x + 3)
Answers
Answer:
x = 3
Step-by-step explanation:
x- (2x + 1) = 8- (3x + 3)
x - 2x - 1 = 8 - 3x - 3
x - 2x + 3x = 8 - 3 + 1
2x = 6
x = 6/2 = 3
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answers
Answer:
34
Step-by-step explanation:
634 - 600 = 34
7/8 rounded to the nearest thousand
Answers
no rounding necessary
LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?
Answers
Answer:
21 she has 21 nickels
Step-by-step explanation:
Googel
The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.
Given that, LeAnnne has $4 in dimes and nickels.
Let the number of dimes be d and the number of nickels be n.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
She has 10 more dimes than nickels.
That is, d=n+10
So, 0.05n+0.10d=4
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
5n+10(n+10)=400
5n+10n+100=400
15n=300
n=20
d=n+10
d=30
Therefore, the number of nickels LeAnne has 20.
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I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X
Answers
Answer:
x ≈ 3.2
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )
3.7 × cos29° = x , then
x ≈ 3.2 ( to the nearest tenth )
Answer:
3.2
Step-by-step explanation:
we have two angles, 29 and 90.
we need one more angle to make the total sum of the angles 180.
the angle to do this is 61.
the area of this triangle so far is 2.90244.
using the area, we can find that the x side is 3.23609.
round 3.23609 to the tenth, we get 3.2
Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms
Answers
Answer:
A
Step-by-step explanation:
Answer:
conversion from gram to kilogram
u divide the gram by 1000
which is 722/ 1000
=0.722kilograms
i.e answer is A
James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas
Answers
Answer:
24 flapjacks
Step-by-step explanation:
330 / 110 = 3
8 *3 = 24
simpllefie this ansewer 10c–7c
Answers
Answer:
3c
Step-by-step explanation:
10c - 7c = 3c
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.
Answers
Answer:
Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.
Step-by-step explanation:
The best option will be option A which will be chosen by Demarco and Tanya.
What is finance?Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.
The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.
Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.
Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.
So, The best option will be option A which will be chosen by Demarco and Tanya.
Learn more about finances;
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6th Grade End-of-Module Review Part-xwhole Name Adam Robertson Date 1/12/21 1. Jazzlyn is applying for a job online. She has completed 12 questions. Throughout the application, a bar shows up to represent what percentage of questions she's completed. The progress bar currently shows 25%How many questions are there for the job application? Use a table, diagram, or equation to justify your answer.
Answers
Answer:
48 questions.
Step-by-step explanation:
x is for the unknown variable, the number you are trying to figure out.
12= 25%x
if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.
to figure this out you can also ask, 12 is 25% of what number?
Using the formula find the slope of a line with the points (10,20) and (30,50).
Answers
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
You have already saved $75 dollars for a new TV. You are
week from now on. Write an equation to model the amount of your savings.
If the TV costs $250, how many weeks will you need to save?
Answers
Help with this and explain please
Answers
Answer:
Step-by-step explanation:
-6x + y = -6 Add 6x to both sides
y = 6x - 6 So the slope of the new line is 6
The point the new line has to go through is (-4,0) That will determine b.
y = 6x - 6
x = - 4
y = 0
0 = 6*(-4) + b Combine
0 = - 24 + b add 24 to both sides
24 = b
Answer: y = 6x + 24
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answers
Answer:
Step-by-step explanation:
y - 4 = -2(x - 6) It might be easier to do if we removed the brackets and collect like terms.
y - 4 = -2x + 12 Add 4 to both sides
y = - 2x + 4 + 12 Combine
y = - 2x + 16
It's not one because -6*-2 + 16 = 28 for y.
It's B
y = -2 * 6 + 16
y = - 12 + 16
y = 4
(6,4) is the answer.
c: doesn't appear to be right. Any minus sign is going to make the number in front of x + which only adds to 16 making bigger.
d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8
Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?
Answers
Answer:
$7346.64
Step-by-step explanation:
Amount after 5years=P(1+r/100)^t
let A = amount after 5years
A=$5000(1+8/100)^5
A=$7346.64 to 2 decimal places
HELP I WILL GIVE BRAINLEST
Answers
Answer:
the answer is A
Step-by-step explanation:
Sin is for a and in this picture a is y
divide: 994.14 ÷ 18.9
Answers
Answer:
52.6?
Step-by-step explanation:
Step-by-step explanation:
[tex] \\ 994.14 \div 18.9[/tex]
[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]
[tex] \\ = \frac{263}{5} [/tex]
[tex] \\ = 52.6[/tex]
Someone plz help me I’m begging
Answers
Answer:
answer is D
pls I don't confirm sorry
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answers
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
Answers
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
The coefficient in the formula above tells us that there are?
Answers
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answers
Answer:
160
Step-by-step explanation: