Answer:
[tex] \large \boxed{y = - 0.5x + 5}[/tex]
Step-by-step explanation:
Goal
Find the equation of the line.Given
Coordinate points which are (4,3) and (6,2).Step 1
Find the slope by using slope formula or rise over run.[tex] \large{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
Substitute the coordinate points in
[tex]m = \frac{3 - 2}{4 - 6} \\ m = \frac{1}{ - 2} \\ m = - \frac{1}{2} \longrightarrow - 0.5 \\ m = - 0.5[/tex]
Step 2
Rewrite the equation in slope-intercept form by substituting m = -0.5[tex] \large{y = mx + b}[/tex]
Substitute m = -0.5
[tex]y = - 0.5x + b[/tex]
Step 3
Find the value of b by substituting any given coordinate points in the equation.Substituting both coordinate points still give the same answer.
Step 3.1
Substitute (4,3) in the equation.[tex]y = - 0.5x + b \\ 3 = - 0.5(4) + b \\ 3 = - 2.0 + b \\ 3 = - 2 + b \\ 3 + 2 = b \\ 5 = b[/tex]
Step 3.2
Substitute (6,2) in the equation.[tex]y = - 0.5 x+ b \\ 2 = - 0.5(6) + b \\ 2 = - 3.0 + b \\ 2 = - 3 + b \\ 2 + 3 = b \\ 5 = b[/tex]
Step 4
Rewrite the equation again by substituting the value of b.[tex]y = - 0.5x + b[/tex]
Substitute b = 5 in the equation.
[tex]y = - 0.5x + 5[/tex]
Hence, the equation is y = -0.5x + 5
Rearrange
x= v+5
to make v the subject.
[tex]x = v + 5[/tex]
[tex]x - 5 = v + 5 - 5[/tex]
[tex]x - 5 = v[/tex]
[tex]v = x - 5[/tex]
PLEASE HELP ME ASAP!!!!!!!!!!!! WILL MAKE YOU BRAINLIEST AND YOU GET MORE THAN 5 POINTS!!!!!!!!!!!!
Which of the following is true for all rectangles?
A. The diagonals are perpendicular.
B. The consecutive angles are supplementary.
C. The opposite sides are supplementary.
D. The opposite sides are complementary.
Answer:
B. The consecutive angles are supplementary
Answer:
the answer is A
Step-by-step explanation:
whats is x − 2 /3 = 1 5 /6??
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.
165.85 + 20.5x
How much money will be in the account after 10 weeks?
After 10 weeks, there will be $
in the account.
Answer:
370.85
Step-by-step explanation:
$70 with a 25% discount
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?
A $14:00
B $15:00
C $16:00
D $17:00
Answer:
$16.00
Step-by-step explanation:
19.99 x .75 = 14.9925
14.9925 x 1.06 = 17.89205
the sum of two numbers is 385 the difference between the number is 93 what’s is the value of the larger number?
x = 239
y = 146
Step-by-step explanation:
Let two numbers be x and y
x + y = 385. ------------equation (1)
x - y = 93. ------------equation (2)
from (1) and (2)
x = 239 and y = 146
A motor travels 10 mph in still water. The boat takes 4 hours longer to travel 48 miles going upstream than it does to travel 24 miles going downstream. Find the rate of the current.
Answer:
The rate of the current is 2 mph.
Step-by-step explanation:
When the boat travels upstream we have:
[tex] v_{T_{1}} = v_{b} - v_{c} [/tex]
[tex] \frac{x_{1}}{t_{1}} = v_{b} - v_{c} [/tex]
Where:
[tex] v_{T}[/tex]: is the total speed
[tex]v_{b}[/tex]: is the speed of the boat = 10 mph
[tex]v_{c}[/tex]: is the speed of the current
x: is the distance
t: is the time
And when the boat travel downstream we have:
[tex]v_{T_{2}} = v_{b} + v_{c}[/tex]
[tex] \frac{x_{2}}{t_{2}} = v_{b} + v_{c} [/tex]
Since the boat takes 4 hours longer to travel 48 miles going upstream than it does to travel 24 miles going downstream we have:
[tex] \frac{x_{1}}{t + 4} = v_{b} - v_{c} [/tex] (1)
[tex] \frac{x_{2}}{t} = v_{b} + v_{c} [/tex] (2)
By adding equation (1) with (2):
[tex] \frac{x_{1}}{t + 4} + \frac{x_{2}}{t} = 2v_{b} [/tex]
[tex] tx_{1} + (t+4)x_{2} - 2v_{b}t(t+4) = 0 [/tex]
[tex] 48t + 24(t+4) - 2*10t(t+4) = 0 [/tex]
By solving the above equation for t we have:
t = 2 h
Now, by entering "t" into equation (2) we have:
[tex] \frac{24 miles}{2 h} = 10 mph + v_{c} [/tex]
[tex] v_{c} = 2 mph [/tex]
Therefore, the rate of the current is 2 mph.
I hope it helps you!
Erika write the following word expression on the board: The quotient of 24 and k. Write an algebraic expression for the word expressions. THEN evaluate (solve) the expression for k = 3
Answer:
a) x=24/k
b) x=24/3
x=8
Step-by-step explanation:
Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8
What is the distance from J To K
Answer:
C. 13 unit
Step-by-step explanation:
I got right
what does -5+3x equals
Answer:
10
Step-by-step explanation:
10-10=0
Answer:
the answer is -15
Step-by-step explanation:
In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in.
Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point M.
What is the length of line segment MX?
6 in.
7 in.
8 in.
9 in.
Answer:
8 in.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
find the coordinates of the points D ( 4, -4 ) and E ( 5, -5 ) after the transformation ( x; y ) ( x + 3, y -5
Answer:
second option
Step-by-step explanation:
Given the rule
(x, y ) → (x + 3, y - 5)
This means add 3 to the original x- coordinate and subtract 5 from the original y- coordinate, that is
D(4, - 4 ) → D'(4 + 3, - 4 - 5 ) → D'(7, - 9 )
E(5, - 5 ) → E'(5 + 3, - 5 - 5 ) → E'(8, - 10 )
Please solve this equation for me!
x-5(x-1)=x-(2x-3)
Answer:
2/3
Step-by-step explanation:
Solve for x
(5x-1) 8x
Which scenario matches the relationship shown in the table?
A. Adi makes 25 dollars an hour.
B. Adi spent 25 dollars on a calculator.
C. Adi divided 25 dollars between her sisters.
D.Adi makes 1 hour for every 25 dollars.
answer: A. Adi makes 25 dollars an hour.
Answer:
You are correct!! The table does show that she makes 25 dollars in 1 hour.
Am i suppose to answer it because you already said the answer is A. Well, You're right.
And Thank you!
3 square root 88 simplify
Answer:
[tex]6\sqrt{22}[/tex]
Step-by-step explanation:
[tex]3\sqrt{88} = 3\sqrt{4*22} =3*2*\sqrt{22}=6\sqrt{22}[/tex]
Y - 0.8x = 0.5
5y - 2.5 = 4x
*Substitution
ANSWER CORRECTLY WITH SHOWN WORK, PLEASE AND HURRY!!
Answer:
[tex]y=\frac{5+8x}{10} , x=x[/tex]
Step-by-step explanation:
y-0.8x=0.5
y*10-0.8x*10=0.5*10
10y-8x=5
10y-8x+8x=5+8x
10y/10=5/10+8x/10
y=5+8x/10
5*5+8x/10-2.5
8x+5/2-2.5=4x
y=5+8x/10, x=x
Find the product for 1.29 x 5.4
show work please <3.
Answer:
6.966
Step-by-step explanation:
•Mark how many you have in the d.p
•If there is two or more add them up
•Multiply like normal given numbers
•Write where the decimal point is to be
Hope that helps
The answer you are looking for is 6.966. You multiply the numbers as normal, the place the decimal based off of how many numbers are behind the 2 decimal points given. 1.29 has 2 numbers behind the decimal, and 5.4 has 1. 1 + 2 = 3, so from the right of the last number on the right side, you move the decimal 3 places.
Here's an image to show you how I solved the problem.
I hope this helps!!
An Auto Shop charges $60 per hour
for labor plus a $30 fee for materials.
Which equation can be used to find
y, the total cost for x hours of labor?
Can someone please help
Answer:
60x + 30 = y | Honestly not sure if it's right but I wanted to help anyways!
Step-by-step explanation:
PLEASE HELP QUICK!!!
Answer:
step 1. (g(12) - g(8))/12 - 8
step 2. (12(4)^(12 - 8) - 12(4)^(8 - 8))/4
step 3. 12(256) - 12)/4
step 4. 765.
what is the slope of the line wuth the equation 2x-3y=4
Answer:
Really dude?
Ok
In form ax + by = c
The slope is equal to (-a/b)
And in this equation b is - 3 and a is 2 so
Slope is equal to 2/3
if u have 21 pieces of cloth to make 6 cloaks how many cloaks will 7 pieces make?
Answer:
2
Step-by-step explanation:
im not sure is this is correct but I put
21÷6=3.5
7÷3.5=2
The sum of two integers is 3. Their difference is 1. What are the two integers?
Answer:
2 and 1
Step-by-step explanation:
2 + 1 = 3
2 - 1 = 1
Without graphing, classify the following system as independent, dependent, or inconsistent.
x - 2y = 1
4x 8y = 4
Choose the correct answer below.
A. The system is inconsistent.
B. The system is dependent.
C. The system is independent.
Answer:
Step-by-step explanation:
There is a missing operator in the second equation.
If the equation is 4x - 8y = 4, then the system is dependent. The second equation is a non-zero multiple of the first.
look at the pic pls and answer 1-2
Step-by-step explanation:
Answer:
1: =[tex]\frac{-1}{6}[/tex]
2: =[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
This is the answers I hope are great
Jonny cut a plank of wood so that it is 50% shorter.
It is now 42cm long.
How long was the plank of wood before Jonny cut it?
[tex]42 \: cm \times 2 = 84 \: cm[/tex]
The plank of wood was 84 cm bejore Jonny cut it.
//
Proof:
[tex]84 \times 0.50 = 42 \: cm[/tex]
AB is a straight line.
Find the values of y and z.
Answer:
45 maybe
Step-by-step explanation:
it is a right angle . just divide by 2
Which table has a constant of proportionality between y and x of 1/4?
Answer: Choice B
Pick any row to find that y/x is equal to 1/4
For example, in the second row we can immediately see that y/x = 1/4 since x = 4 and y = 1 pair up together. The other two rows involve a bit more work, but you should find the result simplifies to 1/4 as well.
If f(x)=2x, where is the y−intercept of g(x)=f(x)+4?
Given:
[tex]f(x)=2x[/tex]
[tex]g(x)=f(x)+4[/tex]
To find:
The y-intercept of g(x).
Solution:
We have,
[tex]g(x)=f(x)+4[/tex]
Putting [tex]f(x)=2x[/tex], we get
[tex]g(x)=2x+4[/tex]
Substitute x=0 to find the y-intercept of g(x).
[tex]g(0)=2(0)+4[/tex]
[tex]g(0)=0+4[/tex]
[tex]g(0)=4[/tex]
Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.