Answer:
y = -2x + 4
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:
[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.
3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:
[tex]y = -2x + 4[/tex]
give me a correct answer, My answer probably wrong.
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).
[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]
[tex]3y^2dy=x-1dx[/tex]
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
[tex]y^3=\frac{1}{2}x^2-x+C[/tex]
Then here, we just solve for [tex]y[/tex] and we have our general solution.
[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
Cassidy's family built a swimming pool that is
5 meters longer than it is wide. It has an area of
36 square meters. Find the dimensions of the pool
Answer:
Step-by-step explanation:
Answer:
4 meters wide and 9 meters long
Step-by-step explanation:
equation- A=wl=4·9=36
I NEED HELP ASAP PLEASE HELP
Answer:
a) lilla has 1/5 of the book left to read
b) lilla has 15 pages left to read
Step-by-step explanation:
a) 1/5 + 3/5 = 4/5
b) 75÷ 5= 15
15× 4= 60
75-60= 15
If one cookie costs $0.30, how much would 36 cookies cost?
O A. $9.18
O B. $9.80
O C. $10.80
D. $12.00
Answer:
C.
Step-by-step explanation:
All you have to do is multiply the cookie cost by the cookies and that gives you your answer.
0.30 * 36 = 10.80
The cost of 36 cookies is $10.80
1 cookie= $0.30
36 cookies= x
Cross multiply
1x= 0.30 × 36
1x= 10.8
x= 10.8
Hence the price of 36 cookies is $10.80
Please see the link below for more information
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Using distributive property write 42+63
Answer:
7(6+9)
Step-by-step explanation:
Your bank give you 6% annual interest compounded quarterly on all savings account balances. Which of the following is the multiplier used when modeling this situation
A. 1.015
B. 1.02
C. 1.04
D. 1.06
E. 0.94
10th grade geometry plz put answer and not links
Answer:
B
Step-by-step explanation:
What is the interquartile range for Genivieve’s data?
Answer:
May you please attach a picture of Genivieve’s data or insert it as text?
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
i got 100% on edmentum
5. Write 21/25 as a percent * O 84% O 80% o 21% 25%
Answer:
84%
Step-by-step explanation:
21/25 = 84/100 = 0.84 = 84%
Answer: 84%
The following equation is true for all real values of k for which the expression on the left is defined, and A
is a polynomial expression.
6k2 – 36k k2 + 12k + 36
А
k2 - 36
1
What is A?
Answer:
A = 6k(k + 6)
Step-by-step explanation:
We have to solve the given equation for the value of A,
[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]
[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]
(6k² - 36k)(k² + 12k + 36) = A(k² -36)
6k(k - 6)(k + 6)² = A(k - 6)(k + 6)
A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]
A = 6k(k + 6)
Therefore, value of A is 6k(k + 6).
v ÷ 2= Algebra mathematics
Answer:
V/2 is the answer.
Step-by-step explanation:
V2 is V * 2, which is the opposite of what you want.
A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.
Answer:
Area = 162.70 square centimetre.
Step-by-step explanation:
From the given question,
AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°
The area of the parallelogram can be determined by;
Area = AD x AB x Sin <BAD
= 11.1 x 15.5 x Sin 71°
= 172.05 x 0.94552
Area = 162.67672
= 162.70 [tex]cm^{2}[/tex]
Therefore, the area of the given parallelogram is 162.70 square centimetre.
Ahab counted vehicles in a parking lot. 5 out of 15 were go-carts. If this trend continues and he counts 9 more vehicles, how many of them will be go-carts?
Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest;
How much interest did she pay each 1 year?
How much principal did she borrow?
Answer:
P = I / rt is the formula we're going to use.
P is the principle (which is what we're solving for)
I = the interest accrued over the specified amount of time (2 years)
r = the interest rate (6%)
t = the time specified (2 years)
Change the percent to a decimal. Place the decimal two places to the left to make 0.06.
P = 264 / 0.06(2)
P = 264 ÷ 0.12 = 2,200
Principal borrowed would be $2,200
1) Deb owns a cake shop and she is working on two wedding cakes this week. The first cake
consists of 5 small tiers and 3 medium tiers, which will serve a total of 252 guests. The
second one includes 1 small tier and 3 medium tiers, which is enough servings for 168
guests. How many guests does each size of tier serve?
A small tier will serve
guests and a large tier will serve guests.
Answer: Hope this helps
Step-by-step explanation:
Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.
The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.
The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.
The system of equations is then { 3s+m=100 3s+2m=140
{
3s+m=100
3s+2m=140
Part B:
The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:
3s+2m amp;= amp;140 −(3s+m amp;= amp;100) m amp;= amp;40
3s+2m
−(3s+m
m
amp;=
amp;=
amp;=
amp;140
amp;100)
amp;40
Substitute m=40m=40 into either equation and solve for ss:
3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20
3s+m
3s+40
3s
s
amp;=100
amp;=100
amp;=60
amp;=20
The solution of the system is then (s,m)=(20,40)
(s,m)=(20,40)
.
Part C:
Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.
what is the value of 4/15÷2/3
Answer:
2 /5
Step-by-step explanation:
If AJKL ~ AMKN, find the value of x.
Answer:
14
Step-by-step explanation:
The two triangles are similar
KN/KL = MN/JL
12/32 = (x+1)/(3x-2) multiply the fractions
36x-24 = 32x+32 export like terms to the same side
36x-32 = 32 + 24
4x = 56 divide both sides by 4
x = 14
the kitchen is 20 feet long and 10 feet wine how many square feet of flooring does Bob need to buy
Answer:
200 ft squared of W I N E
Step-by-step explanation:
W I N E
Find the distance between the pair of points (3, 5) and (-3, 8)
Answer: 3
Step-by-step explanation:
WILL GIVE BRAINLIEST IF YOU HELP
There are 12 girls and 13 boys in math class. What percent of the class are girls?
Answer:
Total # of students = 12 + 13 = 25
%-Boys = (12 / 25) x 100% = 48%
Step-by-step explanation:
$43,000 invested at a rate of 5% compounded annually for 3 years.
Hi my question is what is ma name?
what do you mean there is no question
Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)
Answer:
The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.
Step-by-step explanation:
Answer:
13.7
Step-by-step explanation:
What is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.
In this case we just divide 10 by 2
Answer:
5 cm
Step-by-step explanation:
Sin 30° = opposite / hypothenus
= AB / 10cm
AB = sin 30° × 10 cm
= 5 cm
The digit 3 in which number represents a value of 3 tens ?
Answer:
30
Step-by-step explanation:
Answer:
3 times 10 + 5 times 1
Step-by-step explanation:
I GIVE BRAINLIEST :)
Question is in picture, tysm
Answer:
No x^3 times x^5 is not equal to x^15. It is equal to x^8
Step-by-step explanation:
x3x5
=x3*x5
=(x*x*x)*(x*x*x*x*x)
=x*x*x*x*x*x*x*x
=x8
Answer:
See explanation
Step-by-step explanation:
[tex]x^{3} = x*x*x\\x^{5} = x*x*x*x*x\\x^{3} x^{5} = x*x*x*x*x*x*x*x = x^{8}[/tex] ≠ [tex]x^{15}[/tex]
What is the domain and the range of: (2,3), (3,5), (2,7), (4,8)
Answer:
Domain: {2, 3, 4 }
Range: {3, 5, 7, 8}
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
pls help me on this !!!
Answer:
9
Step-by-step explanation:
To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].
Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].
144+[tex]b^{2}[/tex]=225
subtract 144 from both sides
[tex]b^{2}[/tex]= 81
[tex]\sqrt{b^{} } = \sqrt{81}[/tex]
b=9
hello please help me i need to finish today
Answer:
I think it’s a reflection followed by a transformation
Step-by-step explanation:
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number.
Answer:
Hi how are you doing today Jasmine