[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}[/tex]
Answers
Answer:
1. y = -2/3x + 2
2. y = 2/4x + -3
3. y = 1x -1
![[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0,](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/hWfn0G8qiVyGQsLPqp0c9ZHOSRdpTxed.png)
![[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0,](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/TmgiEaBrOwFhmNGEnpLYqFGdBzfAkshj.png)
![[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0,](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/LVICk4jSXJyXV3Rovt3SE27xJiexO1iZ.png)
Answer: see below
Step-by-step explanation:
Step 1: Find the slope (m) using the formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula. y - y₁ = m(x - x₁)
1. (0, -2) and (3, 0)
Step 1: [tex]m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}[/tex]
Step 2: [tex]y-0=\dfrac{2}{3}(x-3)[/tex]
[tex]y=\dfrac{2}{3}(x-3)[/tex]
[tex]\large\boxed{y=\dfrac{2}{3}x-2}[/tex]
2. (0, -3) and (-4, -5)
Step 1: [tex]m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}[/tex]
Step 2: [tex]y-(-3)=\dfrac{1}{2}(x-0)[/tex]
[tex]y+3=\dfrac{1}{2}x[/tex]
[tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]
3. (0, -3) and (-4, -5)
Step 1: [tex]m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1[/tex]
Step 2: [tex]y-3=1}(x-4)[/tex]
[tex]y-3=x-4[/tex]
[tex]\large\boxed{y=x-1}[/tex]
Related Questions
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
Answers
Step-by-step explanation:
Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.
[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]
All we have to do now is to find [tex]a[/tex].
[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]
Answer:Our number must be [tex]204[/tex]. I think
Simplify the expression -4(-10 + 2n)
Answers
Answer:
40-8n
Step-by-step explanation:
We distribute the -4 over to the values in the parenthesis to get 40-8n.
Ευρωλο
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar
transported
Let Crepresent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.
Equation:
DO
Total cost to transport 19 tons of sugar: sl
х
Answers
Answer:
$10,825
Step-by-step explanation:
let C: represent the total cost which is what we are looking for
let a: represent the cost of renting a truck
let b: represent the cost of each tone of sugar
let s: represent the quantity of the tons of sugar
From the question the additional cost of the sugar depends on the tons
so we multiply the tons by $175
so our equation will be
C = a + bs
in this case our value of b is $175
so we have
C = a + $175s
C = $7500 + ($175 * 19)
C = $7500 + $3325
C = $10,825
Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x^2+24(x 2 +6) 2 ?21=4x 2 +24left parenthesis, x, start superscript, 2, end superscript, plus, 6, right parenthesis, start superscript, 2, end superscript, minus, 21, equals, 4, x, start superscript, 2, end superscript, plus, 24 in terms of p ?
Answers
Answer:
(p+3)(p-7) = 0
Step-by-step explanation:
Given p=x^2+6p and (x^2+6)^2-21=4x^2+24
We are to substitute the the p = x²+6 into the expression as shown;
The expression (x^2+6)^2-21=4x^2+24 will become
(x²+6)²-21 = 4(x²+6)
On substituting p, the expression becomes;
p²-21 = 4p
Subtract 4p from both sides
p²-21-4p = 4p-4p
p²-4p-21 = 0
p²-7p+3p-21 = 0
p(p-7)+3(p-7) = 0
(p+3)(p-7) = 0
Hence the expression in terms of p is (p+3)(p-7) = 0
Answer:
Step-by-step explanation:
solve the equation 4x=48
Answers
Answer:
x=12
Step-by-step explanation:
divide by 4 on both sides
the solution to the equation is x = 12.
To solve the equation 4x = 48,
we need to isolate the variable x.
We can do this by dividing both sides of the equation by 4.
4x / 4 = 48 / 4
When we divide 48 by 4, we get 12.
So, 4x = 48 simplifies to x = 12.
Therefore, the solution to the equation is x = 12.
This means that if we substitute 12 for x in the equation 4x, we get
4 multiplied by 12, which equals 48, satisfying the original equation.
Learn more about Equation here
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Triangle congruence
Answers
Answer:
Please provide more details.
Step-by-step explanation:
If 4 tomatoes are needed to make 7 cups of salsa, exactly how many cups of salsa can be made with 18 tomatoes.
Answers
Answer:
31.5 cups of salsa can be made
Step-by-step explanation:
4 x 4.5 =18
7 x4.5=31.5
Use the diagram and the given angle measure to find the other three measures.
Answers
Answer:
m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
Step-by-step explanation:
From the figure attached,
Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.
By the definition of vertical angles,
∠1 ≅ ∠3 and ∠2 ≅ ∠4
Since, m∠1 = 143°
Therefore, m∠1 = m∠3 = 143°
m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]
143° + m∠2 = 180°
m∠2 = 180° - 143° = 37°
Therefore, m∠2 = m∠4 = 37°
What single percentage change is equivalent to a 13% decrease followed by a 21% decrease
Answers
Answer: 0.66 or 66%? (34% decrease)
Step-by-step explanation: 21+13=34 and 100-34 is 66
BRAINLIEST!!!!!
Problem: The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid.
A) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
B) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning.
C) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
D) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning.
Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answers
Answer:
a. 10 by 25,000
b. 25,000 interval because the x and y axis would both have 10 marks
c. 1-10 because it meets the exact number needed, and gives the graph a nice, square look
d. 1 because it will give the graph a nice size and perfect range.
Step-by-step explanation:
Answer:
b......................
round 5.529 to the tenths place
Answers
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.
What is the unknown value representing the unit rate?
A. 8
B. 125
C. 140
D. 156
Answers
Have a good day!
Answer:
C
Step-by-step explanation:
Please answer thank you.
Answers
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a
HELP HELP HELP PLZ ITS DUE IN 5 MINUTES
Answers
Answer:
14.58
Step-by-step explanation:
1.08 is tax multiplied by 15 is 16.20 after tax. 90% of that is 14.58
Answer:
you pay 15.3 dollars
Step-by-step explanation:
15 times 0.1 is 1.5
15 times 0.08 is 1.2
15-1.5+1.2=15.3
Simplify each of the following expressions. –3(x + 3) + 4x
Answers
Answer:
-3(x+3) + 4x
simplifies to
x-9
Step-by-step explanation:
have a good day
Answer: -9
Step-by-step explanation:
−3(x+3)+4x
Distribute:
=(−3)(x)+(−3)(3)+4x
=−3x+−9+4x
Combine Like Terms:
=−3x+−9+4x
=(−3x+4x)+(−9)
=x+−9
Answer:
=x−9
Have a good day can u give me brainliest pls.
please answer quickly its for a test!
Answers
Answer:
a) 3710
b) 3932.6
Step-by-step explanation:
well I'm assuming youre not cheating, but i hope you can understand this because it's pretty crucial beyond math class
anyway it's just
a) 3500 + .06(3500) = 3710
b) (3500 + .06(3500)) + (3500 + .06(3500))*.06 = 3932.6
Mr. Smith and Mr. Kelly are business partners. They agreed to divide the profits in the ratio of 3: 2. The
profit amounted to $10.
How much did Mr. Smith receive?
Answers
Answer: 6
Step-by-step explanation: 10/5=2 2*3=6 which means Mr. Kelly received 4 and Mr. Smith received 6 dollars.
Temperature Change In Detroit the temperature is 69F and is rising at a rate of 2F per hour. In Atlanta the temperature is 84F and is falling at a rate of 3F per hour. If the temperatures continue to change at the same rate, how long will it be before the temperatures are the same?
Answers
2x + 9.75 - 7x= 5.15
Answers
Answer:
the answer would be X=0.82
simplify 2x+9.75-7x=5.15
-5+9.75=5.15
subtract 9.75 from both sides
-5x=5.15-9.76
simplify 5.15-9.75 to -4.6
-5 = -4.6
divide both side by -5
x=-4.6/-5
simplify -4.6/-5 to 0.92
x=0.92
4. Z BAD is bisected by AC. What is the value of x? (3pts)
Please see directions on how to paste
parts of your work
B
C
(-4x + 42)
(64 - 6x)
А
D
someone help!! solve for x!!
Answers
-4x + 42 = 64 - 6x
+6x on both sides
2x + 42 = 64
-42 on both sides
2x = 22
/2 on both sides
x = 11
Answer:
x = 11
Help me out thank you an please
Answers
proportions, assist me please!
Answers
Step-by-step explanation:
[tex]w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y[/tex]
Answer:[tex]y = \frac{2x}{ {x}^{2} } \\ [/tex]
Which statement is TRUE about 300?
A)
It lies between 14 and 15 on a number line.
B)
It lies between 15 and 16 on a number line.
)
It lies between 16 and 17 on a number line.
D)
1t lies between 17 and 18 on the number line.
Eliminate
Answers
Answer
the answer is D
Step-by-step explanation:
the square root of 300 is 17.3
so there for it lies between 17 and 18
If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?
Answers
Answer:
Unlikely
Step-by-step explanation:
There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The weather forecast calls for a 20% chance of light rain tomorrow.
Probability of rain:
P(rain) = 20% = 0.2
Complement event: Not rain tomorrow
Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%
P(not rain) > P(rain)
Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
Learn more about the probability here:
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Help me ASAP please!!!
Answers
find the slope of the line through each pair of points (-4,-3), (7 , 1)
Answers
Last summer, Troy Yaeger earned $2,855 . Troy is single and is not claimed as a dependent by anybody else. He will take the standard deduction of $5,450. His employer withheld $240 of his wages for income taxes. What is the amount of Troy's tax refund?
Answers
Answer: 8,545
Step-by-step explanation:
2. P= 60 in. Find the length of each side.
2y + 1
|3y+5
HELP
Answers
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Answers
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
It Is 0.8
Step-by-step explanation:
I took the quiz
Can I get some help with part b?
Answers
Answer:
1 sig figs = 1st number is a non zero number and all following numbers are zero (if no decimal point present)
if decimal point is present then it can be 0.x where the x can be any number but nothing can come after it
Step-by-step explanation: