Graph a line that contains the point (-5,-3) and has a slope of -2
Answers
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-3)=-2(x-(-5))[/tex]
[tex]y+3=-2(x+5)[/tex]
[tex]y+3=-2x-10[/tex]
Subtracting 3 from both sides, we get
[tex]y=-2x-10-3[/tex]
[tex]y=-2x-13[/tex]
So, the equation of line is [tex]y=-2x-13[/tex].
Putting x=0, we get
[tex]y=-2(0)-13[/tex]
[tex]y=0-13[/tex]
[tex]y=-13[/tex]
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
Related Questions
Peter makes $15 an hour working at the grocery store and $12 an hour babysitting. He needs to make a minimum of $325 for a new bike. Which inequality best represents the situation, where g represents the number of hours at the grocery store and b represents the number of hours babysitting?
Answers
Answer:
15g + 12b ≥ 325
Step-by-step explanation:
g represents the number of hours at the grocery store
b represents the number of hours babysitting?
We are told that he need to make a minimum of: $325 for a new bike
Minimum means at least $325
Therefore, our inequality equation that best represents the situation is:
15g + 12b ≥ 325
Plz help with number 18 thx
Answers
Answer:
a
Step-by-step explanation:
write in standard form if needed classify the polynomial 14y^2-x^2-3xy
Answers
Therefore, we can classify the polynomial as a quadratic polynomial.
What is polynomial?A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.
Here,
To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.
First, let's rearrange the terms:
x² - 3xy + 14y²
Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.
To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.
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what was the ratio of the number of sedans to the number of suvs produced by company x last year? 1) last year, if the number of sedans produced by company x had been 8 percent greater, the number of sedans produced would have been 150 percent of the number of suvs produced by company x 2) last year, company x produced 565,000 sedans and 406,800 suvs
Answers
The ratio is 25:18.
This problem is related to the ratio and proportion.
here it's miles given that if the number of sedans produced by organisation x have been extra by using 8% then the quantity would be one hundred fifty % of the quantity of SUVs.
1) Let that the number of sedan produced be x and number of SUVs be y.
Now according to question,
[tex]x+\frac{8}{100}*x =\frac{150}{100}*y[/tex]
⇒[tex]\frac{108x}{100}=\frac{150y}{100}[/tex]
⇒[tex]\frac{x}{y} =\frac{150}{108}[/tex]
∴ x : y=25 : 18
2) Now again the ratio =[tex]\frac{565000}{406800}[/tex]
=[tex]\frac{5650}{4068}[/tex]
= [tex]\frac{25}{18}[/tex]
So, the ratio of the number of sedans to the number of SUVs is 25:18.
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Timothy walks from home to a mailbox. After
walking 15 min, he puts a letter in the mailbox.
Then he walks home at the same speed. The
graph shows his distance from the mailbox
as a function of time. What is his walking speed?
A 280 ft/min © 260 ft/min
B 270 ft/min
D 250 ft/min
Answers
Answer:
D. 250 feet per minute
Step-by-step explanation:
According to this question, Timothy walks at constant speed. From Physics we know that speed is the magnitude of velocity and is determined by the following definition:
[tex]v = \frac{\Delta x}{\Delta t}[/tex] (1)
Where:
[tex]\Delta x[/tex] - Distance between home and mailbox, measured in feet.
[tex]\Delta t[/tex] - Travel time, measured in minutes.
[tex]v[/tex] - Walking speed of Timothy, measured in meters per second.
The distance is represented by the vertical axis of the graph, whereas the travelling time is from the horizontal axis.
If we know that [tex]\Delta x = 3,750\,ft[/tex] and [tex]\Delta t = 15\,min[/tex], then the walking speed of Timothy is:
[tex]v = \frac{3,750\,ft}{15\,min }[/tex]
[tex]v = 250\,\frac{ft}{min}[/tex]
The walking speed of Timothy is 250 feet per minute. Hence, the right answer is D.
Frank, Mauricio, Amber, and Tiana each set a goal to run 10 miles a week. This table shows how much of each runner's goal has been met. Which list shows the numbers in the table in order from least to greatest?
Answers
Answer:
Its 0.45, 67%, 4/5, 6/7
Step-by-step explanation:
4/5 - 0.80
0.45 - 0.45
6/7 - 0.85
67% - 0.67
Also I took the test
Which fraction has the same value as 3/5 + 1/3?
Answers
Answer:
4/15
Step-by-step explanation:
Answer:
Answer: If you find the common denominator of both fractions, it is 15!
Your answers are gonna be 9/15 + 5/15
If you add them, you get 14/15
Hope this helps!
Also please correct me if I am wrong aa
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
b
Step-by-step explanation:
PLS HURRY I NEED HELP FAST
The list shows the number of hours Adamma was at swimming practice on each of
four days.
3.2 ,3 2/3 , 3.25 , 3 1/2
Which list shows these values in order from greatest to least?
A
3 2/3, 3 1/2, 3.25, 3.2
B
3.2 , 3.25, 3 1/2, 3 2/3
C
3.25, 3 2/3, 3 1/2, 3.2
D
3.25, 3.2, 3 2/3, 3 1/2
Answers
Answer:
A
Step-by-step explanation:
Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20
50 points and BRAINLIEST
Answers
Answer:
AZ = 12.80
Step-by-step explanation:
There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80
Answer:
12.80
Step-by-step explanation:
SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!
HOPE YOU UNDERSTAND.
The company in the example on page 301 decides to increase the capacity of its large bottles from 32 fl oz to 40 fl oz. It plans to keep the ratio of capacity to cost the same. How much should the company charge for a bottle that holds 40 fl oz
Answers
Answer:
Cost of new bottle = 1.25a
Step-by-step explanation:
Given:
Volume of old bottle = 32 fl oz
Volume of new bottle = 40 fl oz
Computation:
Assume price ratio of old bottle = a
So,
Price ratio of new bottle [Compare by capacity] = [40/32]a
Cost of new bottle = 1.25a
can someone please help :c <3
Answers
Answer:
Step-by-step explanation:
While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?
Answers
Answer:
i think about $3.80
Step-by-step explanation:
Triangle JKL has an area of in2 and a perimeter of in.
Answers
Answer:
Area = 24 in²
Perimeter = 24in
Step-by-step explanation:
To find the area given the length of the 3 sides:
a= 8in
b= 6.4in + 3.6in= 10in
c= 6in
Add them together:
8in + 10in + 6in
= 24in²
To find the perimeter you do the same thing:
a= 8in
b= 10in
c= 6in
Add them together
=24in
DO NOT SQUARE THE ANSWER WHEN FINDING PERIMETER
Fill in the blank to make the two fractions equivalent.
Answers
Answer:
25
Step-by-step explanation:
because 7 times 5 is 35 so 5 times 5 is 25.
Answer:
25
Step-by-step explanation:
Look at the denominators--35 ÷ 7 is 5
So multiply the numerator on the left by 5 to get the numerator on the right:
5 × 5 = 25
Answer the two following question and will mark Brainliest
Answers
Answer:
The answer is C
Step-by-step explanation:
How do I know?
Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)
Please don't forget to mark me brainliest.
Find the slope of the line that passes through (6, 6) and (2, 9). Write your answer as a fraction.
Answers
Answer:
-3/4
Step-by-step explanation:
Formula: y2-y1/ x2-x1, so
9-6= 3
2-6= -4
Answer:
3/-4
Step-by-step explanation:
use the slope formula y-y/(x-x)
9-6/(2-6) and just do the math
3/-4.
Mark all the states that are true
Answers
1). 7x+(-6)=6x-2 True or False
2). 7+2x=3x+3=4 True or False
SHOW WORK
Answers
The first equation given as 7x + ( -6 ) = 6x - 2 is True.
The second equation given as 7 + 2x = 3x + 3 = 4 is false
How to find if the equation is true or false
Given data
7x + ( -6 ) = 6x - 2
7 + 2x = 3x + 3 = 4
The first equation
7x + ( -6 ) = 6x - 2
solving for x gives
7x - 6 = 6x - 2
7x - 6x = 6 - 2
x = 4
checking for the value
7x + ( -6 ) = 6x - 2
7 * 4 - 6 = 6 * 4 - 2
28 - 6 = 24 - 2
22 = 22
Hence we say the expression in the first equation is true
The second equation
7 + 2x = 3x + 3 = 4
7 + 2x = 3x + 3
7 - 3 = 3x - 2x
4 = x
checking for the value of x
7 + 2x = 3x + 3
7 + 2 * 4 = 3 * 4 + 3
7 + 8 = 12 + 3
15 = 15
15 = 15 ≠ 4 false
The first equation is true while the second equation is false
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What is the slope of the line represented by the equation y=- } - 5x?
0 -5
or win win
O 5
Hurry please!
Answers
Answer:
The slope of the line represented by y = -5x is "-5".
Step-by-step explanation:
y=mx+b
M=slope
b=Y-intecerpt
what is a reciprocal for fractions?
Answers
Answer:
You just flip the fraction.
Step-by-step explanation:
For example the reciprocal of 4/9 is 9/4
Hopefully this helps you :) Have a great day. Good luck on your question.
At Superior Engraving, a trophy costs $12.50 and engraving on the trophy costs $0.40 per letter. At another store, Duluth Trophy, the same trophy costs $14.75 and engraving costs $0.25 per letter. How many letters must be engraved for the costs to be the same at both places?
Answers
Answer:
The answer is 15 words
Step-by-step explanation:
Taking the problem as a algebraic expression, we get
[tex]12.50 + 0.40x = 14.75 + 0.25x[/tex]
Now, subtracting 12.50 + 0.25x from both sides, we get
[tex]0.15x = 2.25[/tex]
Therefore,
No of words = 2.25/0.15 = 15
5.the sum of two numbers 2n and 2n+4 is 88 the numbers are
21,23
42,44
42,46
Answers
Answer:
42,46
Step-by-step explanation:
2n+2n+4=88
4n+4=88
4(n+1)=88
n+1=88/4
n+1=22
n=22-1
n=21
Therefore
2n=2*21=42
2n+4=2*21+4
2n+4 = 42+4 = 46
What is 130% of 56 lbs.
Answers
(130\100)*56
(130*56)/100
7,280/100
=72.8
What is the total liability of the business? indicate?
Assets $
inventory 15,000
cash on hand and at bank 25,000
debtors/receivables 10,000
land and buildings 500,000
plant and machinery 25,000
investments 75,000
Owner’s Equity 200,000
The total liabilities are $
Answers
Answer:
450,000
Step-by-step explanation:
Can someone please help me with this!! I don't know how to do this
Answers
Answer:
length: 37
width: 11
Step-by-step explanation:
2(4x-7)+2x=96
8x-14+2x=96
10x-14=96
10x=110
x=11
PLEASE HELP QUICK which relation could also represent a function
Answers
Answer:
I believe the answer is B
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
srry if i told u to late
Will mark as branliest and heart if help
Answers
Answer:
A
Step-by-step explanation:
solve for h : 17 - 4h = -16 + 11h
Answers
Answer:
h=2.2
Step-by-step explanation:
Please help! I need help i keep getting them wrong
Answers
Answer:
[tex]y = \frac{7}{4}x - \frac{5}{4}[/tex]
Step-by-step explanation:
Equation of line K: [tex]y = \frac{-4}{7}x + 1[/tex]
m₁ = -4/7
The slope of line I = -1 / m₁ = -1÷(-4/7)
= [tex]-1 * \frac{-7}{4}[/tex]
= 7/4
( -5 , -10) ; m = 7/4
y - y1 = m(x - x1)
y - [-10] = [tex]\frac{7}{4}(x -[-5])[/tex]
y + 10 = [tex]\frac{7}{4}(x +5)\\[/tex]
y + 10 = [tex]\frac{7}{4}x+5*\frac{7}{4}\\[/tex]
[tex]y = \frac{7}{4}x + \frac{35}{4} - 10\\\\y = \frac{7}{4}x + \frac{35}{4} -\frac{40}{4}\\\\y = \frac{7}{4}x + \frac{35-40}{4}\\\\y = \frac{7}{4}x - \frac{5}{4}[/tex]