Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?
Please help me
Answers
Answer:
[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]
Answer:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]y=\displaystyle\frac{1}{2} x+5[/tex]
From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:
[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
I hope this helps!
Related Questions
The value of the function f(x) = 5x +7 at 3 is
Answers
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?
Answers
Answer:
$34
Step-by-step explanation:
374/11=34
Answer:
One ticket cost $34
Step-by-step explanation:
Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34
Beth had k dollars. She spent 8 dollars on a bag and the rest of the money on 4 notepads. Find the cost of each notepad in terms of k.
Answers
Answer:
Price of a notepad in terms of k ⇒ (k - 8)/4
Step-by-step explanation:
Let the price of a notepad be n.
8 + 4n = k
In order to get the answer, we've to make n as the subject of the above equation.
8 + 4n = k
4n = k - 8
n = (k - 8) / 4
Eliminate the x and y
Answers
Step-by-step explanation:
Eliminate the x:
[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]
Eliminate the y:
[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]
Order the numbers –0.5, 1.25, 0.75, and –1.08 from least to greatest.
Answers
Answer:
Least to greatest
0.75 , 1.25 , -1. 08 , -0. 5
Step-by-step explanation:
Hope my answer helps you
A family pays $34.56 for souvenirs on vacation if the sales tax is 7.5% what is the total amount the family spent on souvenirs
Answers
Answer: $37.15
Step-by-step explanation:
$31.958
Step-by-step explanation:
I'm not sure guys if that's right answer
Mrs. Penn charges $10.00 an hour on top of a $5.00 flat fee for tutoring. Mrs. Smith charges $14.00 an hour with no flat fee. Write and solve an equation to find how many hours T takes for Mrs. Penn and Mrs. Smith to get paid the same amount.
Answers
Answer:
1.25 Hours (1 hour & 15 minutes)
Step-by-step explanation:
14x = 5 + 10x
Subtract 10x from both sides
4x = 5
Divide by 4 on both sides
x = 1.25
It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.
Answers
Answer:
Step-by-step explanation:
the first ine make sense to me
if not right sorry
Answer:
0.5in and 2in
Step-by-step explanation:
It is the answer
6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.
Answers
Answer: 1.075s
Step-by-step explanation:
s*175/100=1.075s
What is the perimeter of the shape to the right?
Answers
What is a way that a lender could collect on a debt when the borrower defaults??
Answers
Answer:
If the borrower defaults on the loan, the lender can collect the collateral outlined in the loan agreement. But the lender can’t go after the borrower for further compensation, even if the value of the collateral doesn’t cover the full amount of debt owing.
Step-by-step explanation:
Answer:Wuts the answer
Step-by-step explanation:
A person is running a distance race at a constant rate. What time will they finish the race what information would you need to be able to solve the problem?
Answers
Answer:
you need the distance they're running and the pace they are running at.
Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).
Answers
Answer:
i think its c in my opionion not sure tho
Answer:
D. 13/36
Step-by-step explanation:
One more dilation problem
Write the rule to describe each transformation??
Answers
Answer:
it is strech
Step-by-step explanation:
The dilation of triangle QRS is stretched by scale factor 1/2.5.
From the Figure,
The coordinates of S(-1, 0), R(-1, 1) and Q(2, 0)
and, the coordinates of S' (-2.5, 0), R'(-2.5, 2.5) and Q'(5, 0).
Now, the scale factor is
= side of QRS / side of Q'R'S'
As, side of QR = 3 unit and side of Q'R' = 7.5 unit.
So, the scale factor is
= 3 /7.5
= 1 / 2.5
Thus, the dilation is stretched by scale factor 1/2.5.
Learn more about Scale Factor here:
https://brainly.com/question/29464385
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Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.
Answers
Answer:
D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16
subtract (6x^2+5) - (4x-3)
Answers
Can someone help me please
Answers
Answer:
40 students earned a B on this paper.
40%×80=32 people who chose action as their fav.
Number of Bars
1
Analyze A store sells variety packs
of granola bars. The table shows
the types of bars in each pack.
Mason says that for every 7 bars in
a pack, there is 1 cinnamon bar.
Do you agree? Explain.
Type
Cinnamon:1
Honey:4
Peanut Butter:3
Answers
Answer: Disagree. 1 in 8 bars are cinnamon.
Step-by-step explanation:
There are a total of 8 bars in the pack. Cinnamon is 1 of the 8. Therefore, for every 8 bars, one is cinnamon.
plss do the working
Answers
Answer:
1386
Step-by-step explanation:
V=πr²*h
V=22/7*7²*9
V=1386
HELP FAST PLS I’ll mark u brainliest
Answers
Answer:
about 20 cents
Step-by-step explanation:
#Shop A
Pack of 10pens=£2.30Pack of 70pens:-
[tex]\\ \sf\longmapsto 7(2.30)=16.10[/tex]
#2
Pack of 5=1.60£Pack of 70
[tex]\\ \sf\longmapsto 14(1.60)=20.80[/tex]
But you get half price
20.80/2=10.40Difference:-
[tex]\\ \sf\longmapsto 16.10-10.40=5.70\£[/tex]
The points in the table lie on a line. Find the slope of the line
Answers
Answer:
click the button and use it as and use it
Evaluate ∫ y2dx + x dy along the following paths. (a) C = C1 is the line segment from (-13, -7) to (0, 6) (b) C = C2 is the arc of the parabola x = 36 - y2 from (-13, -7) to (0, 6).
Answers
a. Parameterize C₁ by
[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]
with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is
[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]
[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]
[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]
b. Parameterize C₂ by
[tex](x(t),y(t)) = (36-t^2,t)[/tex]
with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is
[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]
[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]
[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]
Hello Good morning/evening/afternoon !
Pls Help ?!
Answers
Answer: y = 3/5x + 6
Step-by-step explanation: Slope intercept form is y = mx + b
We must convert your problem into this.
3x - 5y = -30
-5y = -30 - 3x
-5y = -3x - 30
y = (-3x - 30)/-5
y = 3/5x + 6
Would appreciate brainly <3
What is the relationship between 2.57×104 and 2.57×10−1 ?
2.57×104 is
Choose:
100
1000
10,000
100,000
1,000,000
times
Choose:
Greater or Less
than 2.57×10−1 .
Answers
Answer:
2.57×104= 267.28
2.57×10-1= 24.7
Answer:
2.57x10^4 is 100,000 Greater that 2.57x10^-1
Step-by-step explanation:
2.57x10^4 has a power by 4 which means
10^4 = 10,000
and 2.57x10^-1 has a power by -1 which means
10^-1 = 0,1
therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1
need help with these questions
Answers
Step-by-step explanation:
these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.
the advantage of factorization is to see the 2 solutions for y=0 right away.
the general form is
y = (x + a)(x + b)
and the y=0 solutions are then simply x = -a and x = -b.
in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.
that makes the factorization :
y = (x - 1)(x - 5)
when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.
in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).
it is seemingly at x = -2.
since both solutions are equal, we have also two equal factors.
that makes the factorization
y = (x + 2)(x + 2) = (x + 2)²
The diameter of a circle is 6.8 m. Find the circumference to the nearest tenth
Answers
Answer:
21.4m
Step-by-step explanation:
Circumference : x diameter
is approximately 3.142
3.142 x 6.8 = 21.3656
Nearest tenth = 21.4m
Simplify.
5x+3(x+2)+3
A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8
Answers
Answer:
A- 8x+9
Step-by-step explanation:
------------------------------------------
5x + 3 (x + 2) + 3
5x + 3x + 6 + 3
8x + 6 + 3
8x + 9
<3
· Carlos ran one lap in 1 minute 3 seconds. Orlando rana one lap 5 seconds faster than Carlos. How many seconds did it take Orlando to run one lap?
Answers
Answer:
58 seconds.
Step-by-step explanation:
Since one minute equals 60 seconds, Carlos took 63 seconds.
Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.
If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?
Answers
Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.
Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...
Laws involving positive integral exponents to zero & negative integral exponents.
Paul and anthony were asked to simply a^(2)/a^(-7) . Who do you think is correct in simplifying tge given expression? Justify your answer in 3 to 5 sentences.
Answers
Answer:
Both are correctStep-by-step explanation:
Paul used the following identities:
[tex]a^{-b}=1/a^b[/tex][tex]a^b*a^c=a^{b+c}[/tex]Anthony used the identity:
[tex]a^b/a^c= a^{b-c}[/tex]