Write the equation in Point-Slope Form of a line that has a slope of 3/4 and passes through point (-4, -12).
Answers
Answer:
The equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:
[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]
The graph of the equation line is also attached below.
Step-by-step explanation:
Given
Slope m = 3/4Point (-4, -12)To determine
We have to determine the equation in Point-Slope Form.
We know that the Point-slope form of a line equation is defined as
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
[tex]m[/tex] is the slope of the line[tex]\left(x_1,\:\:y_1\right)[/tex] is the pointIn our case:
Slope m = 3/4(x₁, y₁) = (-4, -12)substituting the values m = 3/4 and the point (x₁, y₁) = (-4, -12) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-12\right)=\frac{3}{4}\left(x-\left(-4\right)\right)[/tex]
Apply rule: [tex]-\left(-a\right)=a[/tex]
[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]
Therefore, the equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:
[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]
The graph of the equation line is also attached below.
Related Questions
Evaluate !! look at photo please i need help
Answers
Answer:
[tex]Sum = 832[/tex]
Step-by-step explanation:
Given
See attachment
Required
Evaluate
The expression can be expressed as:
[tex]Sum = 2n + 5;\ n=1...26[/tex]
To do this, we make use of sum of n terms of an AP.
When n = 1
[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1
When n = 2
[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2
When n - 26
[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26
Next, we calculate d (common difference)
[tex]d = T_2 - T_1[/tex]
[tex]d = 9 - 7 = 2[/tex]
So, the sum is:
[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]
Let n = 26
So, we have:
[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]
Substitute values for T1 and T26
[tex]Sum = \frac{26}{2}(7+57)[/tex]
[tex]Sum = \frac{26}{2}(64)[/tex]
[tex]Sum = 13*64[/tex]
[tex]Sum = 832[/tex]
words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!
Answers
Answer:
The anwser is 1340
Step-by-step explanation:
divide 335 by 5 then multipilyby 20
Help needed today plsss
Answers
Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2
Step-by-step explanation:
Hope this helps
What is 30/12 written as a mixed number?
Answers
A box contains five slips of paper. These slips are marked $1, $1, $1, $10, and $25. The winner of a contest will select two slips of paper at random with replacement and will then get the larger of the dollar amounts awarded. Define a random variable W
Answers
Answer:
Random variable set is attached as image. Please see the image
Step-by-step explanation:
The random variable W consist of all possible set of selection of two reward slips
The set consists of total 20 possible outcomes
The set is given in the image attached
Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?
Answers
Answer:
1/10
Step-by-step explanation:
First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!
Which of the following represents the series shown? Check all that apply. 11+17+23+29
Answers
Answer:
80
Step-by-step explanation:
have a wonderful day :)
3 days 22 hours equals how many hours
Answers
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94which of the following is 6.3 not a possible solution
Answers
Step-by-step explanation:
ang qt ko share ko lang bleeeh
If brownies are $1.80 each how much is that for 10 brownies
Answers
Answer:
18 just move the decimal because there is one zero
Perimeter = 16x + 8
The length of the indicated side is
Answers
Answer:
d
Step-by-step explanation:
Because you need to substitute the variable first, multiply that and add 8.
PLEASE HELP !!
Charlie has completed 12 deliveries so far this week. He needs to make 16 deliveries for the week. What percentage of his deliveries has Charlie completed?
Answers
Answer:
75%...........................
Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?
Answers
Which of the following best describes a square root?
Answers
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself
A pet store has 40 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all?
Answers
Answer:
50 fish
Step-by-step explanation:
80% 40 fish :8
10% 5 fish x10
100% 50 fish
Mkkkknnehejdjdijdjdndnc cncjr
Answers
Answer:
yes
Step-by-step explanation:
yes
Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?
pls help
Answers
Answer:
Gary
I have no idea how to explain this but I do know for a fact that the answer is Gary.
sequence
60,45, 33.75 ....
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60 x .75 (or 3/4) = 45
45 x .75 = 33.75
33.75 x .75 = 25.3125
From $5 to $8 in percent
Answers
Answer:
Step-by-step explanation:
That would be 8/5 = 1.3 = 130/100 = 130%
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 50% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 47% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model
Answers
Answer:
0.4198 = 41.98% probability that he or she has a basic model
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Extended warranty
Event B: Basic model
Probability of extended warranty:
34% of 50%(basic model)
47% of 100 - 50 = 50%(deluxe model). So
[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]
Intersection of events A and B:
34% of 50%(basic model with extended warranty). So
[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]
How likely is it that he or she has a basic model
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]
0.4198 = 41.98% probability that he or she has a basic model
AHHH HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answers
Answer:
The depth of the aquarium is 3 feet.
Step-by-step explanation:
From the formula for the volume of a bar we find that [tex]V=whl[/tex], where [tex]w[/tex] is the width, [tex]h[/tex] is the height (depth), and [tex]l[/tex] is the length of the bar (which in this case is the aquarium). So [tex]h=\frac{V}{wl}[/tex] and by substituting [tex]V=11.94[/tex], [tex]w=1.4[/tex] and [tex]l=2.6[/tex] we can see that [tex]h=\frac{V}{wl} = \frac{11.94}{2.6 \cdot 1.4} = 3.2802... \approx 3[/tex] feet (rounding to the nearest whole number).
So the depth of the aquarium is 3 feet.
A baseball team plays in a stadium that holds 74000 spectators. With the ticket price at $9 the average attendance has been 30000. When the price dropped to $8, the average attendance rose to 37000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue
Answers
Answer:
solution
$9=30000
$8=37000
$?=74000
=$3
Find the slope of the line through these two points: (-2, -1) and (10, 2).
[Write slope as a decimal, not a fraction.]
Answers
Answer:
[tex]y=0.25x-0.5[/tex]
Step-by-step explanation:
Firstly, the slope is [tex]\frac{3}{12} = 0.25[/tex], then you get the expression of the line.
PLEASE HELP IM BEING TIMED
Answers
Answer:
106
Step-by-step explanation:
Explanation:
130/2=65
18/2=9
65+9=74
180-74=106
When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?
Answers
Answer: 3 feet tall
Step-by-step explanation:
50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.
A TV Screen is measured according to the diagonal of the screen. If a 65-inch TV has a height f 33 inches, what is it's width?
Answers
Answer:
The width of the TV screen is 56 inches.
Step-by-step explanation:
We can find the width of the TV screen by using Pitagoras:
[tex] D^{2} = H^{2} + W^{2} [/tex]
Where:
D: is the diagonal = 65 in
H: is the height = 33 in
W: is the width =?
Then, the width is:
[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]
Therefore, the width of the TV screen is 56 inches.
I hope it helps you!
Answer:
56in
Step-by-step explanation:
what is the answer to
24(4 goes up)+7
Answers
Answer:
23
Step-by-step explanation:
(3,19), (-1,-13) I need help with this answer
Answers
Answer:
Step-by-step explanation:
I need more information
A birdwatcher on a cliff saw a eagle 70 feet above him. Earlier, he had spotted the eagle 30 feet above him. Which integer represents the eagle's change in altitude?
Answers
The integer that represents the altitude change is -40
How to determine the integer that represents the altitude change?From the question, the positions of the eagle are
70 feet above him and 30 feet above him
Rewrite the positions of the eagle properly
This is done as follows
Position 1 = 70
Position 3 = 30
The expression of the altitude change in the position of the eagle is then calculated as
Change = Position 2 - Position 1
Substitute the known values in the above equation
So, we have the following equation
Change = 30 - 70
Evaluate
Change = -40
Hence, the altitude change is -40
Read more about distance at
brainly.com/question/29116468
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Suppose Gil can write a poem in 1 hour, Holly can write a poem in 2 hours, and Ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. If a literary magazine needs one poem, how much will it cost
Answers
Answer:
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.
Step-by-step explanation:
The wage indicate the amount of money earned in hour for production of poems. If a literary magazine needs just one poem, then the cost will be the wage multiplied by time taken for the creation of the poem. There are three possibilities:
Gil
[tex]C = \left(10\,\frac{USD}{h})\cdot (1\,h)[/tex]
[tex]C = 10\,USD[/tex]
Holly
[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (2\,h)[/tex]
[tex]C = 20\,USD[/tex]
Ivan
[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (3\,h)[/tex]
[tex]C = 30\,USD[/tex]
The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.