Answer:
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{1}{3}x-3[/tex]
Slope-intercept form of a line is given by:
[tex]y = mx+b[/tex]
Comparing the given equation of line with general form we get
m = 1/3
Let m1 be the slope of line parallel to given line
Then the equation of line will be:
[tex]y = m_1x+b[/tex]
We know, "Slopes of two parallel lines are equal"
Which means
[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]
Putting the value of slope
[tex]y = \frac{1}{3}x+b[/tex]
Putting the point (3,2) in the equation
[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]
Final equation of line is:
[tex]y = \frac{1}{3}x+1[/tex]
Hence,
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
3(8 - x) = 7x - 6
I need help
x = 3
I solved for x cause I wasn't exactly sure what you wanted.
−6 2/1 −(−2 8/1 )+3 3/2
Answer:
simplify the expression.
Exact Form:
13/2
Decimal Form:
6.5
Mixed Number Form:
6 1/2
Step-by-step explanation:
plz give me brainlyest
Answer: 6 1/2
Step-by-step explanation:
-6 2/1 - (-2 8/1 ) + 3 3/2
-8 - (-10) + 4 1/2
-8 + 10 + 4 1/2
2 + 4 1/2
6 1/2
I didn't really understand some stuff but I think I did this right.. hope this helps!
what's $90.94 with 50% off..?
Answer:
Write 50% as a decimal number:
STEP 2: Multiply by 90.94:
Step-by-step explanation: answer is 49.47
Answer:
45.47$
Step-by-step explanation:
50% means to cut things off by half
i need help on the botto that says What is the cost of buying 10 tickets?
Answer:
305$
Step-by-step explanation:
305 because if it costs 61 dollars for 2 tickets and 61/2 30.5. 30.5*10=305
Find the measure of the missing angles.
Answer:
The measure of C is 123°
The measure of B is 57
PLEAZE CORRECT IT OUT IM SORRY
Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
6
Step-by-step explanation:
4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.
What’s the answer to this question ? 4.4y - 5x = -8
what do you want us to solve for? Step-by-step explanation:
6th grade math help me plzzzz
The current temperature is 30°C. Over the next eight hours the temperature decreases and then increases, returning back to 30°C. if the temperature initially decrease by 13°C, how much did it subsequently increase?
Answer:
13°C
Step-by-step explanation:
The number of hours that the temperature fluctuates is irrelevant to the problem.
This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.
Find the new temperature after it decreased:
30°C - 13°C = 17°CIf the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.
Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.
What is the slope and y intercept of Y= -4x + 2
Answer:
Slope=-4
Y intercept= 0,2
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
im confused right now.
Answer:
x = -45
Step-by-step explanation:
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
c) Which of these numbers is a square number?
A) 4 x 10^5
B) 9 x 10^4
C) 4 x 10^3
D) 9 x 10^3
Answer:
A is the correct answer
Answer:
non of them
Step-by-step explanation:
Square number should have power of 1/2 .
Write the standard equation of the circle.
I’ll give brainliest!
Write an algebraic expression or equation to represent each word phrase.
Seventeen increased by twice a number, n
Answer:
2n + 17
Step-by-step explanation:
a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?
Answer:
It was originally sold at roughly $4.887
Step-by-step explanation:
1) 2.20/.45 ≈ 4.8
2) 4.8 x .45 = 2.16
3) 4.88 x .45 = 2.196
4) 4.887 x .45 = 2.19915
The original price of the ice cream is $4.8
What is the discount price?Discounting a product means offering it at a lower price than the list price.
Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.
Let the original price of the carton be x.
x*45% = 2.20
x = 2.20*100/45
x = 4.8
Hence, the original price of the ice cream is $4.8
For more references on Discount price, click;
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A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the taxi? Explain
Answer:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Step-by-step explanation:
What is the center of the circle x² + y2 - 4 = 0?
Answer:
(0,0)
Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.
A ladder is 61 inches tall. How tall is it in feet and inches
Answer:
5'1
Step-by-step explanation:
Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.
That mean's it's 5 feet 1 inch.
Answer:
5 feet 1 inch
Step-by-step explanation:
because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch
A building has 15 floors of offices above
ground and 3 floors below ground. Lucy
parks on the 3rd floor below ground
and has an office on the 10th floor. The
ground floor is floor zero. How many
floors must she go up from her car to
her office?
Answer:
13 floors
Step-by-step explanation:
it says the ground floor is floor zero. she is 3 floors below the ground floor so you add 3+10 to get the amount of floors she has to go up to get to her office.
Subtract 4(2x-7) from 5(3x-2)
Answer:
7x+18
Step-by-step explanation:
Multiplay the numbers by for and five and solve
I need some answers for this
Answer:
its a black screen and I can't answer it without nothing on their
A university's freshman class has 7600 students. 55% of those students are majoring
in Economics. How many students in the freshman class are Economics majors?
Answer:
4180
Step-by-step explanation:
55% of 7600 is 4180
Need this very badly
Answer:
B) 800 cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
800 = 2(10x15 + 10x10 + 10x15), which is B
Answer:
800 cm^2
Step-by-step explanation:
Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6
Answer:
D.6
Step-by-step explanation:
Help? Show work!
m∠ABC=(6x+8)° and m∠DEF=(12x-8)°.
If ∠ABC and ∠DEF are supplementary,what
is the measure of each angle?
Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
(6x + 8) + (12x - 8) = 180Combine like terms.
18x = 180Divide both sides by 18.
x = 10Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
6(10) + 8 = 68°m∠DEF = (12x - 8)°
12(10) - 8 = 112°→ (6x + 8) + (12x - 8) = 180°
→ 6x + 8 + 12x - 8 = 180°
→ 18x = 180°
→ x = 180 ÷ 18
→ x = 10°
Now, we are given that m∠ABC = (6x+8) just subsitute the value of x in it .
→ m∠ABC = (6x + 8)
→ m∠ABC = (6 × 10 + 8)
→ m∠ABC = 60 + 8
→ m∠ABC = 68°
Similarly, subsitute the value of x in m∠DEF = (12x - 8)° we get :
→ m∠DEF = (12x - 8)°
→ m∠DEF = (12 × 10 - 8)
→ m∠DEF = 120 - 8
→ m∠DEF = 112°
If 9(x-9) = -11, then x= ?
A. - 92/9
B. -20/9
C. - 11/9
D. -2/9
E. 70/9
Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5
865.3 divided by 5 ...?
42 points to help with math
Step-by-step explanation:
first find the nth term
a1 (n-1) d
24 (n-1) 7
24+7n-7= 17+7n
for 500th term: 17+7(500)= 3517
so option B
hope it helps! please mark me brainliest..
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