Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answers
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
Related Questions
Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?
Answers
Answer:
Yes, the point (4,10) satisfies the inequality.
Step-by-step explanation:
In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:
y ≥ 2x + 2
10 ≥ 2(4) + 2
Then solve:
10 ≥ 8 + 2
10 ≥ 10
Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).
place the decimal point in the product
1. 6.17×8.2=50594
2. 24.01×8.51=2043251
3. 8.94×5.27=471138
Answers
Answer:
Step-by-step explanation:
50.594
204.3251
47.1138
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 25 feet long with a wingspan of 15 feet. If the finished model will be 10 inches long, what will the wingspan be?
Answers
Answer:
6 inches
Step-by-step explanation:
25/15 = 10/6
:))
Answer:
6in.
Step-by-step explanation:
540 men can construct a bulding in 7 month. How many man should be removed from workerto finish the building in 9 month
Answers
Answer:Arms: 6 – 8 sets per week. Core: 10 – 12 sets per week. These set guidelines are a really good starting point for building muscle after 50. Remember, more is not always better
Step-by-step explanation:
Please solve for x. Possible answers are A. 3 B. 10 C. 28
Answers
Answer:
x=28
Step-by-step explanation:
So first slove for the right angle triangle
a²+b²=c²
a=12 and c=15
12²+b²=15²
144+b²=225
b²=225-144
b²=81
b=√81
b=9
so now that you know the top two sides add 10 due to the lenght given on the bottom
9+10+9=28
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
Answers
Answer:
0
Step-by-step explanation:
The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.
The slope of the new road should be zero.
Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answers
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.
Answers
Answer:
30 +12.5v ≥ 125v ≥ 7.6Step-by-step explanation:
Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...
(reward points) + (visit points)×(number of visits)
30 +12.5v ≥ 125 . . . . . the inequality
__
12.5v ≥ 95 . . . . . . . subtract 30
v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality
Aaliyah will need to make 8 visits to earn her first free ticket.
Please help me please help me please help me
Answers
Answer:
d.
took the test
Step-by-step explanation:
Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3
Please and thanks! (I'm horrible at my math)
Answers
Answer:
1.) 38.2
2.) -62.8
4.) -38.2
Step by step solve 18×20, I find double 18 and then multiply by 10
Answers
18x10 is 180
18x10 again is 180
180+180=360
Convert 4g into mg please- i'll give you 10 points
Answers
Answer:
4000 mg
Step-by-step explanation:
4grams · 1000 = 4000 milligrams
Answer:
4000 mg
Step-by-step explanation:
a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. How much should the kayak rental shop charge to maximize weekly revenue? What is the maximum weekly revenue?
Answers
If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the maximum weekly revenue
What is Equation?Two or more expressions with an Equal sign is called as Equation.
It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day
For each $5 increase in price, the shop loses four kayak rentals per week. we need to find How much should the kayak rental shop charge to maximize weekly revenue
R(x)=(25+5x)(28-4x)
=5(5+x)4(7-x)
=20(5+x)(7-x)
=-20(5+x)(x-7)
when x=1 it is maximum
Price when x =1 is 25+5(1)=30
To calculate maximize revenue
R(1)=(25+5)(28-4)
=30(24)
=720
Hence the maximum weekly revenue is $720.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
divide £64 in the ratio5 3:
Answers
Answer:
£40 : £24
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio
£64 ÷ 8 = £8 , then
5 parts = 5 × £8 = £40
3 parts = 3 × £8 = £24
£64 in the ratio 5 : 3 is £40 : £24
Answer:
24:40
Step-by-step explanation:
Let the ratio be 3x and 5x
3x+5x=64
8x=64
X=8
ratio=3(8):5(8)
24:40
Use the ALEKS calculator to write9/16
as a decimal rounded to the nearest hundredth.
Answers
Rounding to the nearest hundredth, the answer is .56
A squirrel burrowed 10 holes in 8 minutes. How many holes could the squirrel burrow in 12 minutes?
Answers
Answer:
15
Step-by-step explanation:
Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.
Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]
cos135° =
A.√2/2
B.-√2/2
C.-1/2
Answers
we have cos135° = -√2/2
so B is the correct answer
ok done. Thank to me :>
Could someone help me figure this out?
Answers
Answer:
The area of a rectangle is the length multiplied by its breadth.
Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:
[tex]3(n-1)*n+2=54[/tex]
[tex]3n(n-1)+2=54[/tex]
Expand:
[tex](3n*n)-(3n*1)+2=54[/tex]
[tex]3n^2-3n+2=54[/tex]
Subtract both sides by 54:
[tex]3n^2-3n+2-54=54-54[/tex]
[tex]3n^2-3n-52=0[/tex]
In an experiment, the temperature of a sample is measured as 16 degrees Celsius. If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?
Answers
Answer: T=16 ± 0.12 ° CA Aw
Step-by-step explanation:
Which statement can you use to conclude that a relationship must be non-proportional?
The graph of the relationship is linear.
The graph of the relationship is linear.
The equation of the relationship is in the form y = kx
The equation of the relationship is in the form, y = kx
The relationship has a constant rate of change.
The relationship has a constant rate of change.
The y-intercept of the graph of the relationship is ( 0, 1).
Answers
9514 1404 393
Answer:
(d) The y-intercept of the graph of the relationship is ( 0, 1).
Step-by-step explanation:
The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.
Find the value of x.
8.
x+9
2x
Answers
[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]
ok done. Thank to me :>
Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?
Answers
Answer:
Each journal costs $2.48
Step-by-step explanation:
Let X be the cost of a single journal.
You can write this equation to represent the problem:
26x = 64.48
(26 times the cost of the journal is $64.48)
Then just solve for x by dividing both sides by 26:
[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]
Each journal costs $2.48
you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?
Answers
Answer:
You should use 3 1/5 cups of sugar.
Step-by-step explanation:
What are the roots of the function f(x) = x2 + 2x – 1? a. x = ± √ _ 2 b. x = − 1 ± √ _ 2 c. x = 2 ± √ _ 2 d. x = 1 ± √ _ 2
Answers
Step-by-step explanation:
Root of the function, where y = 0
f(x) = x² + 2x - 1
0 = x² + 2x - 1
x² + 2x - 1 = 0
x² + 2x = 1
x² + 2x + 1 = 1 + 1
(x + 1)² = 2
x + 1 = ±√2
x = -1 ± √2
Roots → x = -1 ± √2
Apply the Triangle Sum Theorem to find the sum of the angles in the pentagon. A pentagon can be divided into three triangles.
Answers
Step-by-step explanation:
according to angle sum property of triangle
sum of all 3 angles of triangle is 180°
and here it is given that the Pentagon is divided in 3 triangles,
now,
3×180 = 540°
therefore, option C 540° is correct
hope this answer helps you dear! take care
Answer:
540
Step-by-step explanation:
Each triangle only has 180 degrees
We have 3 triangle, 180 + 180 + 180 = 540 degrees
need help im math plz
Answers
answer: 54
I got it wrong never mind
Use the dropdown menus to write an equation with infinitely many solutions.
4(2x + 3) – x =
A. 4 B. 5 C. 6 D. 7
x +
A. 12 B. 15 C. 16 D. 18
Answers
Answer:
4(2x + 3) - x = 7x + 12
Explanation:
That's what T4L/Edge said
y= -3x + 5 input (x) = -2 find y output
Answers
Answer:
11
Step-by-step explanation:
Plug in - 2 for X and solve
Y= -3(-2) + 5
Answer:
11
Step-by-step explanation:
-3 (-2) + 5=
6 + 5= 11
You gotta exchange the (x) for -2
0.314 x 100 = help me pls
Answers
Answer:
your answer would be 31.4 :)
Step-by-step explanation:
What is the slope of the line ?
Answers
Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.
I'll use (-2, 0) and (3, 4) here
To calculate slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.
Plug in those 2 points and solve:
[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]
Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).