Here are 5 lines on a coordinate grid:
Write equations for lines a,b,c,d and e
a:
b:
c:
d:
e:
Answers
Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
Related Questions
HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.
Answers
Answer:
5.3
Step-by-step explanation:
We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground. Imagine it like two points on a graph. One is at the origin (0,0). That represents the bottom of the ladder. The next one is at (80,15), which represents where the top is. To find slope, we divide rise (y-values) over the run (x-values). The y value increases by 80, while the x increases by 15. 80 divided by 15 equals about 5.3
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.
Answers
Answer:
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)
Then, the factorized form of [tex]q(x)[/tex] must be:
[tex]q(x) = x\cdot (x-17)[/tex] (2)
If we know that [tex]p(x) = 4[/tex], then the rational expression is:
[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
5(x – 3) > 7x + 2
what is the value of x?
Answers
Answer:
If I am not mistaken the answer is x<-27/2.
Which equation is written in slope-intercept form?
O y = 3x-2
O X= ży+ 8
- 2x + 5y = 12
O 3y = 8x-5
Answers
Answer:
The first one
y= 3x-2
Step-by-step explanation:
The student council is selling Fall festival t-shirts. Long sleeve shirt sell for $12 and short sleeve shirts are $2 less. They sell 606 shirts for a total of $6,778. How many long sleeve shirts were sold?
Answers
Answer:
359 long sleeve shirts were soldStep-by-step explanation:
Step one:
given data
let long sleeve shirts be x
and short sleeve shirts be y
Long sleeve shirt sell for $12
short sleeve shirts are $2 less= 12-2= $10
They sell 606 shirts
x+y=606--------1
total cost of the shirts =$6,778.
12x+10y=6778-------------2
therefore the systems of equation for the situation si
x+y=606--------1
12x+10y=6778-------------2
from eqn 1, x=606-y
put x=606-y in eqn 2. we have
12(606-y)+10y=6778
7272-12y+10y=6778
solve for y
-2y=6778-7272
-2y=-494
2y=494
divide both sides by 2
y=4944/2
y=247
put y= 247 in eqn 1
x+247=606
x=606-247
x=359
Hence, 359 long sleeve shirts were sold?
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a
$8 per pound
b
$5 per pound
c
$35 per pound
d
$0.125 per pound
Answers
Answer:
$8 per pound
Step-by-step explanation:
40 ÷ 5 = 8
$40 per 5 pound= 8
$8 per 1 pound = 8
Help please 43 points
Answers
$0+$10+ $20+$30+40+$50+$60+$70+$80 divide by 9 =
360/9=40
Answer:
Get the data from the table:
40, 45, 50, 55, 75, 80, 85Median is the middle number:
55Mean is the average:
(40+ 45+ 50+ 55+ 75+ 80+ 85)/7 = 61.42Rachel and Sarah spent:
80 + 85 = 165what is the answer to -3(9-x)+6x
Answers
Answer: 9−27
Step-by-step explanation:
PLEASEE HELPP ME DO THISS
Answers
Click on the photo to view full solution
Robin has 3 feet of ribbon. She uses part of it for a craft and has 2.5 feet left. She divides the 2.5 remaining feet among her 10 friends. How much ribbon does each friend receive?
0.25 feet
0.3 feet
25 feet
30 feetWhich gives the correct order of steps needed to multiply the problem below?
Answers
Answer:
0.25 feet for each friend because 2.5/10=0.25
Answer:
0.25 ft.
Step-by-step explanation
You have to divide 2.5 by the amount of friends she has so 2.5/10. Then you would moce the decimal one place forward. You would get 0.25.
Happy to help! Have a great day!
Write the difference and simplest form (5n-3)-(-2n+7) 100 points
Answers
Answer:
7n - 10
5n - 3 + 2n - 7
(distribute the negative sign throughout the equation) (then just combine like terms)
The graph shows the distance Henry drives on a trip. What is Henry's speed? Driving Time and Distance 330 300 270 Distance (miles) 240 210 180 150 120 90 60 30 0 1 2 3 4 5 Time (hours) O A. 70 miles per hour OB. 30 miles per hour O C. 60 miles per hour D. 40 miles per hour
Answers
Answer:
C
Step-by-step explanation:
I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?
Answers
Answer:
$17.48
Step-by-step explanation:
^^^^^^^^^^^^^
3. Circle the smallest number.
-2.5 and 1.5
Plss answers
Answers
Answer:
-2.5
Step-by-step explanation:
-2.5 < 1.5
Answer:
1.5
Step-by-step explanation:
because it is basic decimals 1.5 would be 15 while 2.5 will be 25
which dot thing do i put?
Answers
Answer:
arrow to the right no filled in dot
Step-by-step explanation:
the (>) shows you which direction the thing is going
in this situation you just have to simplify the problem
4x+2=10
-2. -2
4x=8
x=2
x>2
Answer:
You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)
Step-by-step explanation:
Fill in the missing values in the table. Then determine the constant of proportionality.
blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is
Answers
Answer:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
Here, k is the constant of proportionality.
From the table, taking the first two points to determine the constant of proportionality.
Yards Feet
1/2 1.5
1/3 1
Using the equation
substituting y = 1.5 and x = 1/2
y = kx
k = y/x
k = (1.5) / (1/2)
k = 1.5 / 0.5
k = 3
also substituting y = 1 and x = 1/3
k = y/x
k = 1 / (1/3)
k = 3
As the constant of proportionality is the same.
Therefore, the constant of proportionality = k = 3Determining Blank 1
Yards = x = 2 1/3 = 7/3
y = blank 1 = Feet ?
k = 3
Using the equation
y = kx
blank 1 = Feet = y = 3 (7/3)
blank 1 = Feet = y = 7
Therefore, Blank 1 = y = Feet = 7In other words,
When Yards = 2 1/3, then Feet = 7
Determining Blank 2
Feet = y = 3
Blank 2 = x = yards ?
k = 3
Using the equation
y = kx
Blank 2 = x = yards = y/k
Blank 2 = x = yards = 3/3
Blank 2 = x = yards = 1
Therefore, Blank 2 = yards = x = 1In other words,
When Yards = 1, then Feet = 3
Determining Blank 3
yards = x = 2
Blank 3 = y = Feet ?
k = 3
Using the equation
y = kx
y = Blank 3 = Feet = 3(2)
y = Blank 3 = Feet = 6
Therefore, Blank 3 = Feet = y = 6In other words,
When Yards = 2, then Feet = 6
Determining Blank 4
Feet = y = 4.5
Blank 4 = x = Yards ?
k = 3
Using the equation
y = kx
x = Blank 4 = y/k
x = Blank 4 = 4.5/3
x = Blank 4 = 1.5
Therefore, Blank 4 = x = Yards= 1.5In other words,
When Yards = 1.5, then Feet = 4.5
Summary:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
49/8 as a mixed number
Answers
ummm [tex]6\frac{1}{8}[/tex] aha-
Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline
Answers
Answer:
[tex]y = \frac{3}{5} + x[/tex]
Step-by-step explanation:
Given
Represent Mai's distance as x and Clare's distance as y
[tex]Mai = x\ miles[/tex]
[tex]C = \frac{3}{5}[/tex] farther than Mai
Required
Determine the relationship between both
[tex]C = \frac{3}{5}[/tex] farther than Mai
Substitute x for Mai
[tex]C = \frac{3}{5}[/tex] farther than x
Express as a mathematical expression:
[tex]C = \frac{3}{5} + x[/tex]
Recall that Clare's distance is represented by y.
So, we have:
[tex]y = \frac{3}{5} + x[/tex]
Hence, the relationship is: [tex]y = \frac{3}{5} + x[/tex]
Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Step-by-step explanation:
A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft
Answers
Answer:
IM JUNNA HAFT TO SAY IS 60
Step-by-step explanation:
what is 0.34 round to the nearest tenth
Answers
Answer:
0.3
Step-by-step explanation:
We use the following rules to round 0.34 to the nearest tenth:
A) If the last digit in the fractional part of 0.34 is less than 5, then simply remove the last the digit of fractional part.
B) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.
C) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.
With 0.34, rule A applies and the answer is: 0.3
Answer:
0.3
Step-by-step explanation:
round down because its 4
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number?
Answers
Answer:
54,265 fishes
Step-by-step explanation:
The formula for Population decrease =
P(t) = Po × e^-rt
Where
P(t) = Population after time t
Po = Initial population = 95000
r = decrease rate = 4% = 0.04
t = time in years = 14
Hence
P(t) = 95,000 × e ^- 0.04 × 14
P(t) = 95,000 × e^-0.56
P(t) = 54264.861066 fishes
Approximately = 54,265 fishes
The total fish the company caught over the first 14 years, to the nearest whole number is 54,265 fishes
Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.
Answers
Answer: Small box: $13; Large box: $16
Explanation:
Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.
which describes the correlation shown in the scatter plot ?
A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation
Answers
Answer:
It is B because it is negative correlation.
Step-by-step explanation:
Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.
It is B.
Choose all the expressions that are equal to 0.8 × 0.03.
A. 8100×3100
B. 3100×810
C. 80100×3100
D. 310×8010
E. 810×3100
Answers
Answer: 8/10 × 3/100
3/100 × 8/10
Step-by-step explanation:
To be able to solve this question, we need to convert the decimals to Fractions. After they've bee converted to Fractions, we can then look at the options given and see the correct option.
0.8 will be 8/10 when converted to a fraction while 0.03 will be 3/100. Therefore, the correct option will be:
= 8/10 × 3/100 or 3/100 × 8/10.
Therefore, options B and E are correct.
Answer:
Step-by-step explanation:
ace
PPLLLLLLLLEEEEEEEAAASSSEEE HELP ME
Answers
Answer
2x=60
x=30
Step by step solution
Answer:
30
Step-by-step explanation:
180/3=60
60/2=30
4) Kai has 20 songs on his playlist, and is
adding 2 songs per minute. Write an equation
that represents this situation, where y is the
number of songs on Kai's playlist after x
minutes.
Answers
Answer: 20+2x=y
Step-by-step explanation:
Please help meee hbenekneje
Answers
13
Find the area and circumference.
(a)
18 in
AREA
Round to the nearest hundredths.
A) 4071.50 in?
B 1017.88 in2
C 113.09 in
D 226.19 in
Answers
Answer:
The area of the circle is":
A = 1017.36 in²
The circumference of the circle is:
C = 113.09 in
Step-by-step explanation:
Given
r = 18 in
We need to determine the area and circumference of the circle
Using the formula to determine the area
A = πr²
= 3.14 × (18)²
= 3.14 × 324
= 1017.36 in² (Rounded to the nearest 0.01 or the Hundredths Place)
Thus, the area of the circle is":
A = 1017.36 in²
Using the formula to determine the circumference.
C=2πr
= 2 × 3.14 × 18
= 113.09 in
Thus, the circumference of the circle is:
C = 113.09 in
Solve for side BA
(show your work)
Answers
Answer:
BA = 25.5961
Step-by-step explanation:
To solve for side BA, we need to use the correct trigonometric function that relates (from the perspective of angle B) side AC and BA.
AC is Opposite of angle B
BA is the Hypotenuse
The function we use here is Sine. Sine is:
Sin(θ) = Opposite/Hypotenuse
So we simply substitute our information to solve.
Sin(62) = 22.6/BA
BA = 22.6/Sin(62)
Typing this into our calculator we get:
BA = 25.5961
(This is rounded to 4 decimal places)
what is C in the triangle
C=
Answers
Answer:
C = 13
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]5^{2}[/tex] + [tex]12^{2}[/tex] = 169
[tex]\sqrt{169}[/tex] = 13
Answer:
C = 13
Step-by-step explanation:
Use the following formula to answer this question.
C = square root a^2+b^2
Rewrite the formula using the information you already know.
C = square root 5^2 + 12^2
C = 13
I hope this helped to answer your question.