Please Help.........
What is the equation of the given line in the point-slope form?
A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)
Answers
[tex]============================[/tex]
First, let's use the Slope Formula to find the slope:
[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]
[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]
Which simplifies to
[tex]\pmb{1}[/tex]
So the slope is 1.
Now, here's a point that the line passes through:
(0, 1)
Write the equation in point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
y-1=1(x-0)
================================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Related Questions
When asked to factor the trinomial 4x^2 + 12x + 9, a student gives the answer (2x - 3)(2x - 3). What is one thing wrong with this answer?
A. There is nothing wrong with the answer
B. The minus signs should be plus signs
C. 4 is also a factor of this trinomial
D. The factors are not simplified
Answers
The one thing wrong with the answer is option B. The minus signs should be plus signs.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given quadratic is 4x²+12x+9
Taking common 4
4(x²+3x) + 9
=4(x² + 3x + 9/4) + 9 - 9
=4(x + 3/2)²
=(2x+3)²
=(2x+3)(2x+3)
So, the minus sign must be a plus sign. option B is correct.
Learn more about factored here:
https://brainly.com/question/1249625
#SPJ1
3. A shirt in a store usually costs $15.99, but today it's on sale for
25% off. The clerk says you will save $4.50. Is that true?
4. A book that usually costs $12 is on sale for 25% off.
How much will it cost?
5. After you answer 60% of 150 math problems, how many do
you have left to do?
90
6. A pet store's shipment of tropical fish was delayed. Nearly
40% of the 1,350 fish died. About how many lived?
7. The shipment had 230 angelfish, which died in the same
proportion as the other kinds of fish. About how many
angelfish died?
8. A church youth group was collecting cans of food. Their goal
was 1,200 cans, but they exceeded their goal by 25%. How
many cans did they collect?
Answers
Step-by-step explanation:
3)
25% of 15.99=0.25×15.99=3.9975
Nope you will save about 4 dollars.
4)
12$ is 100% of its price
If there is a 25% discount, it will cost 75% of its original value.
75% of 12=0.75×12=9
It will cost 9 dollars
5)
You have 40% left of 150
so, 0.4(150)=60
You ANSWERED 90 but you still have 60 remaining.
6)
60% of 1350 lived since 40% died
0.6×1350=810
about 810 lived
7)
40% of the angelfish died
0.4×230=92
92 angelfish died
8)
The collected 125% of what they expected
1.25×1200=1500
They collected 1500 cans
The quotient of seven and a number added to ten
Answers
Formula: 21/7=3 3+7=10
What is the area of this trapezoid? units 2
Answers
area of trapezoid: 153 units²
Here given information:
height : 9side 1 : 10side 2 : 7 + 10 + 7 = 24trapezium area = [tex]\sf \frac{1}{2}[/tex] * ( side 1 + side 2 ) * height
[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 10 + 24) * 9[/tex]
[tex]\hookrightarrow \sf 153 \ units^2[/tex]
At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have
Answers
Answer:
366 possible outcomes
Step-by-step explanation:
just took a test on edge
The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume
Answers
First Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
We have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]
Second Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
If the Diameter were reduced by half we have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]
This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume
Step-by-step explanation:First Part
Gather Information
[tex]Diameter = 18cm[/tex]
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Calculate Radius from Diameter
[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]
Use the Radius on the Volume formula
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]
Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s
[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]
We can see now that one of the 3s can be already divided by the 3 in the denominator
[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]
Finally, since we can't simplify anymore we just calculate it's volume
[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]
[tex]Volume \approx 3053.63 cm^{3}[/tex]
Second Part
Understanding how the Diameter reduced by half would change the Radius
[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]
Understanding how the Radius now changes the Volume
[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]
With the original Diameter, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]
If the Diameter were reduced by half, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]
But we can see that the numerator is exactly the original Volume!
This shows us that the Volume would be [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.
What are the x-intercepts of this conic section?
(−3, 0) and (3, 0)
no x-intercepts
(0, −3) and (0, 3)
(−3, 3) and (3, −3)
Answers
Answer:
(x, y) = (-3, 0) and (3, 0)
Step-by-step explanation:
The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.
This graph crosses the x-axis at x = ±3. The x-inercepts are ...
(x, y) = (-3, 0) and (3, 0)
A fence has three posts, equally spaced.Each post is 15 centimetres wide.The length of the fence is 153 centimetres.
Answers
Answer:
Step-by-step explanation:
because there are 3 posts we need to remove 15 x 3 = 45
153- 45 = 108
108/2 = 54 cm between each post
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of
Answers
The probability that the next person will purchase exactly one costume is given by: 68/399
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The total number of visitors to the website is 314 + 68 + 17 = 399.
Out of these 399 visitors, 68 purchased exactly one costume.
Therefore, the probability that the next person will purchase exactly one costume is given by:
68/399
This fraction cannot be simplified any further, so the final answer is:
68/399.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?
Answers
The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.
How to compute the insurance?From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.
The amount paid by the insurance company will be:
= $24000 + $1450
= $25450
When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.
Learn more about insurance on:
https://brainly.com/question/25855858
Write the given expression in terms of x and y only sin(tan^-1(x)+tan^-1(y)
Answers
Answer:
Step-by-step explanation:
Let a = tan⁻¹(x), so tan(a) = x,
[tex]\sin(a)=\frac{x}{\sqrt{1+x^2}}, \cos(a)=\frac{1}{\sqrt{1+x^2}},[/tex]
Let b = tan⁻¹(y), so tan(b) = y,
[tex]\sin(b)=\frac{y}{\sqrt{1+y^2}}, \cos(b)=\frac{1}{\sqrt{1+y^2}},[/tex]
sin( tan⁻¹(x) + tan⁻¹(y)) = sin(a + b)
= sin(a) cos(b) + cos(a)sin(b)
= [tex]\frac{x}{\sqrt{1+x^2}}\times\frac{1}{\sqrt{1+y^2}}+ \frac{y}{\sqrt{1+y^2}}\times\frac{1}{\sqrt{1+x^2}}[/tex]
[tex]=\frac{x+y}{\sqrt{(1+x^2)(1+y^2)}}[/tex]
can someone help me please
Answers
Answer:
y=x-5
Step-by-step explanation:
try that my good sir
A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?
3
4
5
6
Answers
The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds
What is the clock skip reading?We know that from time conversion;
1 day = 24 hours
1 hour = 60 minutes = 2 × (30 minutes)
1 day = 24 hours × 2 × (30 minutes)
1 day = 48 × (30 minutes)
Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.
Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;
Friday = 48 × (3/4) = 24
Saturday = 48
Sunday = 48
Monday = 48 × (3/4) = 36
Total times = 24 + 48 + 48 + 36 = 156
Thus, it means that there was 156 times of 30-minutes that have passed during the time period.
x = 468 seconds ÷ 156
x = 3 seconds
Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.
Read more about Least common multiple at; https://brainly.com/question/10749076
Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
Answers
Answer:
Beach parking lot is the right answer.
Step-by-step explanation:
the beach parking is near the beach refreshment stand.
pls mark branliest.
The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?
Answers
Answer:
the answer is 4,750
Step-by-step explanation:
just multiply 950x5
Pleade god help me find someone to help me thank you
Answers
Answer:
yw
Step-by-step explanation:
makin a chart :)
Need help, Brainliest if correct, Don’t answer if you don’t know.
Answers
the measure of angle c is 120
Answer:
C = M = 120
i hope this helps
give me list of letter arrangement and number arangement
Answers
Answer:
what the heck question is this
Determine whether the given value is a solution of the equation.
Answers
Answer:
Is a solution
Step-by-step explanation:
Just do the division [tex]\frac{52}{13}[/tex]
Substitute b = 52 in the equation,
52/13=4
4= 4
The equation is justified. So b =52 is the solution
Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?
Answers
Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
What is a Triangle?A triangle is simply a polygon with three vertices, three side and three sides.
An equilateral triangle is of triangle with all its three sides equal in length.
There area of an equilateral triangle is expressed as;
A = (√3/4) × a²
Where a is the length of the sides.
Given the data in the question;
Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?First we determine the area of the window which is in the shape of an equilateral triangle.
A = (√3/4) × a²
A = (√3/4) × (15ft)²
A = (√3/4) × 225ft²
A = 97.4279ft²
Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.
CoW = A × C
CoW = 97.4279ft² × $18.75 per ft²
CoW = 1826.77$
Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
Learn more about area of triangles here: https://brainly.com/question/19305981
Do this fast please, I don't have a lot of time! You will literally gain 100 points answering this!
A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?
Just say A,B,C or D, and then the step by step explanation
Answers
Answer:
1.6
Step-by-step explanation:
Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]
Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)
Answers
The average daily balance of the transactions given for the billing period will be $1798.
How to calculate the average daily balance?From the complete question, the average daily balance is completed below:
Billing date = 2645.92 × 5 = $13229.6
Repayment on June 6 = $1345.92 × 2 = $2691.84
June 8 = $1381.85
June 9: = $1518.53 × 8 = $12148.24
Gas = $1560.90
Groceries = $1687.37 × 10 = $16873.70
Clothing = $1902.49 × 4 = $7609.96
Total = $53935.19
Therefore, the average daily balance will be:
= $53935 / 30
= $1798
Learn more about average on:
https://brainly.com/question/1136789
Solve: |x+2|=3
Can someone explain how to do this
Answers
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the equation for the circle with center (-9, 5) and radius 4
Answers
Answer:
[tex]\sf (x+9)^2+(y-5)^2=16[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given:
center = (-9, 5)radius = 4Substituting given values into the equation:
[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]
[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]
Equation:-
(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]What is the area of the blue shaded region in the figure?
Answers
Answer:
B. 90 in²
Area of white triangle
3×4/2
12/2 = 6 in²
Area of blue triangle
12×16/2
192/2= 96in²
96in² - 6in² = 90 in²
What is the mean of the set of data below?
Answers
Answer:
Mean = 8
Step-by-step explanation:
add all the numbers
2+3+5+6+8+11+11+12+14 = 72
then divide by how many number there are which is 9
72 / 9 = 8
Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =
Answers
Answer:
a=5, a=-2.5
Step-by-step explanation:
Given:
[tex]2 a^2 - 5 a - 25 = 0[/tex]
Solution:
[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}[/tex]
[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}[/tex]
[tex]a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}[/tex]
[tex]a=5,\:a=-2.5[/tex]
~Lenvy~
Points P and Q are respectively 4m North and 3m East of point R. Calculate the distance between point P and Q
Answers
Apply Pythagorean theorem
PQ²=QR²+PR²PQ²=4²+3²PQ²=5²PQ=5mAnswer:
Distance between point P and Q = 5m
Step-by-step explanation:
Given
Point P is 4m north (↑) of Point RPoint Q is 3m east (→) of Point RUsing Pythagorean Theorem (applicable for only right triangles)
PQ = √4² + 3²PQ = √25PQ = 5 mHope it helped~
Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?
Answers
20.124
Step-by-step explanation:
remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so
9 x 9 = 81
18 x 18 = 324
324+81 = 405
now you have to sq root it (20.1246)
Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.
Answers
The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3
How to write and solve equation?let
x = unknown number
2x + 1 = 4 + x
collect like terms2x - x = 4 - 1
solve
x = 3
Therefore, the unknown number is 3
Learn more about equation:
https://brainly.com/question/2972832