2(x+3)=x-4
help!
45 points!
What is an equation of the line that passes through the point
(6,7) and is parallel to the line
2x−3y=9?
Answer:
The equation of line parallel to given line passing through (6,7) is: [tex]y = \frac{2}{3}x+3[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]2x-3y = 9[/tex]
We have to convert the equation in slope-intercept form. The slope-intercept form is given by:
[tex]y= mx+b[/tex]
Adding 3y on both sides and subtracting 9 from both sides
[tex]2x-3y+3y-9 = 9+3y-9\\2x-9 = 3y\\3y = 2x-9[/tex]
Dividing whole equation by 3
[tex]\frac{3y}{3} = \frac{2x-9}{3}\\y = \frac{2}{3}x - \frac{9}{3}\\y = \frac{2}{3}x-3[/tex]
Let m be the slope of given line then
m = 2/3
Let m1 be the slope of line parallel to given line. Slopes of two parallel lines is equal that means:
m = m1 = 2/3
The equation of line will be:
[tex]y = m_1x +b\\y = \frac{2}{3}x+b[/tex]
Putting the point (6,7) in equation
[tex]7 = \frac{2}{3}(6) +b\\7 = 2(2) +b\\7 = 4+b\\b = 7-4\\b = 3[/tex]
Putting the value of b
[tex]y = \frac{2}{3}x+3[/tex]
Hence,
The equation of line parallel to given line passing through (6,7) is: [tex]y = \frac{2}{3}x+3[/tex]
Which point is the y-intercept of the line represented by the equation y-3=13(x+6)?
(0,9)
(0,5)
(5,0)
(0,2)
Answer:
The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line's slope is 0 (m = 0).
The y-intercept of the equation will be at (0, 81). Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 3 = 13(x + 6)
Convert the linear equation into slope-intercept form. Then the equation is written as,
y - 3 = 13x + 78
y = 13x + 78 + 3
y = 13x + 81
The y-intercept of the equation will be at (0, 81). Then the correct option is A.
More about the linear equation link is given below.
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The options are wrong. Then the correct options are given below.
A. (0, 81)
B. (0, -81)
C. (-81, 0)
D. (81, 0)
When given a table, what operations do you use to determine the slope of the graph?
Group of answer choices
Subtraction
Division
Both A & B
None of the Above
Answer:
division
Step-by-step explanation:
Buying three tires at $80 each and getting a fourth tire free
Answer
3 x 80=240
240 / 4=$60 effective unit rate for each tire.
Step-by-step explanation:
mark me as brainliest!
The length of a cell phone is 1.8 1.8 inches and the width is 4.4 4.4 inches. The company making the cell phone wants to make a new version whose length will be 1.17 1.17 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone
Tracy is borrowing $10,700 on a six-year, %, add-on interest loan. What will Tracy's monthly payments be?
Answer:
Step-by-step explanation:
Use the formula I=prt. (Interest = principle x rate x time)
So, I = 10700 x 0.07 (7% as a decimal) x 6
So, I = 749(6)
I = 4494
Now, divide 4494 by 6(12)
4494/71
This = 63.3 dollars.
Therefore, she is paying 63 dollars per month.
Tracy's monthly payments is $62.41.
What is Simple Interest?The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.
Amount (A) = Principal (P) + Interest (I)
and, Simple Interest = PRT/100
Given:
P= 10700
Time= 6 year
Interest = 7%
Now, using simple interest
SI = P x R x T/100
SI = (10700 x 0.07 x 6)
SI = $4494
So, Tracy's yearly payments
= 4494/6
= 749
and, Tracy's monthly payments
= 749 / 12
= 62.41
Hence, Tracy's monthly payments is $62.41.
Learn more about Simple interest here:
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answer this strenuous question
can you help me again UwU
Answer:
Upper Left
Bigger slopes means steeper lines.
Good luck!
What is the equation of the line through the points (3, 2), (8, 5), (13, 8) and (18, 11)? HELP ASAP I WILL MAKR BRAINLIEST PLSSSSSSS
Is it multiple choice?
Answer:(it might be)
y=5/3x+1/3
Step-by-step explanation:
TRUE OR FALSE: Determine whether the figure is a parallelogram for the given values of the variables
Answer:
True
Step-by-step explanation:
jrhudoakueieeisp
Answer:
A: True
B: False
Step-by-step explanation:
8a: x=5 and y=11
A= 84°
B= 96°
C= 96°
D= 84°
8b: x=4 and y=2
A= 66°
B= 6°
C= 15°
D= 64°
You are packing a canoe for a
river trip. The canoe weighs 45 pounds and each supply pack weighs 12 pounds. How many supply packs can you put in the canoe if your total weight must be under 117 pounds?
Answer:
12x + 45 < 117
What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?
Answer:
y = 7x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x - 8 ← is in slope- intercept form
with slope m = 7
Parallel lines have equal slopes, thus
y = 7x + c ← is the partial equation
To find c substitute (5, 22) into the partial equation
22 = 35 + c ⇒ c = 22 - 35 = - 13
y = 7x - 13 ← equation of parallel line
What is the area of the above trapezoid? Please help
I will cash app if you help out
Answer:
b should be correct
Step-by-step explanation:
no need to cash app me its been a while since ive done math so i dont even know if this is right
The graph shows how much money Priya has in her savings account weeks after she started saving on a regular basis. How much money does Priya have in the account after 10 weeks? How long did it take her to save $200? How much money did Priya have in her savings account when she started to save regularly? Write an equation to represent the dollar amount in her savings account and the number of weeks of saving. Be sure to specify what each variable represents.
Answer:
How much money does priya have after 10 weeks? 320
How long did it take her to save 200? 5
How much did priya have in her savings account when she started to save regularly? 80
Tell me if this is correct?
How many parts is the
whole divided into?
Solve this too?
Divided into ____ Equal Parts
Answer:
Divided into five equal parts
You are adding to rational numbers with different signs. How can you tell if the sum will be positive, negative, or zero? #24
Answer:
it would be positive
Step-by-step explanation:
Answer:
Step-by-step explanation:
A positive plus a negative equals a negative:
4 + (-3) = 1
A positive plus a positive equals a positive:
4 + 4 = 8
A negative plus a negative equals a negative:
(-2 )+ (-2) = -4
If two number have the same absolute value, they will equal zero:
-3 + 3 = 0
- 2 + 2 = 0
Draw and solve
3. You sight a rock climber on a nearly vertical cliff at a 32° angle of elevation. The horizontal ground distance to the base of the cliff is 1,000 ft. Find the line-of-sight distance to the rock climber.
Answer: 58 degrees
Step-by-step explanation:
Write the decimal as a fraction or mixed number in simplest form.
9.75
✨Answer:✨
9 3/4 (simplest form)
✨Step-by-step explanation:✨
1. Convert decimal into fraction:
9.75 = 975/100
2. Simplify:
975/100 = 39/4 = 9 3/4
A. Reduce fraction to lowest terms (25 is the greatest common divisor of 975 and 100. Reduce by dividing both numerator and denominator by 25):
975/100 = 975 ÷ 25 = 39/4
100 ÷ 25
B. Convert improper fraction to mixed number:
39/4 = 9 3/4
(39 ÷ 4 = 9 remainder 3)
Is -4pi a rational number
Answer:
no
Step-by-step explanation:
Pi is irrational
Answer:
No it is a irrational number
Step-by-step explanation:
-4pi is not a whole number, integer number, or a rational number. It is only a irrational number.
What is -4 1/2 - (-1.07)
Answer:
The answer is -3.43
Step-by-step explanation:
The difference between two numbers is 3.50. The lesser number is 1.65.
What is the other number?
Answer:
5.15
Step-by-step explanation:
you add 3.50 and 1.65 to get the other number
What is the slope of the line shown on the graph?
Pick two points on the line, then use the slope formula.
The slope is
Answer:
the slope is 1/2
Step-by-step explanation:
Write an equation for the graph in the form Y=KX
Answer:
Step-by-step explanation:
y=8x
What is the value of 43 ?
O 12
O 16
O 43
O 64
Answer:
64
Step-by-step explanation:
Answer: Your answer is 64 4 times 4 equals 16 then 16 times 4 equals 64 <3
Step-by-step explanation:
1. Estimate twenty-nine percent of forty-eight. Please again no decimal form!
2. Estimate sixty-two percent of one hundred twenty-four. no decimal form please!
3. WORK Karl made $365 last month doing odd jobs after school. If 75% of the money he made was from doing yardwork, about how much did Karl make doing yardwork?
[tex]\boxed{29\;percent\;of\;48=(?)}[/tex]
4x + 6y - z=-18
3x +2y - 4z = -24
- 5x + 3y + 2z = 15
find x y and z
Answer:
x = -2, y = -1, z = 4
Step-by-step explanation:
4x + 6y - z=-18
z = 18 + 4 x + 6 y
3x +2y - 4z = -24
z = 6 + (3x)/ 4 + y /2
- 5x + 3y + 2z = 15
z = 15/2 + (5x)/2 - (3y)/2
18 + 4 x + 6 y = 6 + (3x)/ 4 + y /2 = 15/2 + (5x)/2 - (3y)/2
x = -22y/13 - 48/13
4(-22y/13 - 48/13) + 6y - (15/2 + (5(-22y/13 - 48/13))/2 - (3y)/2) = -18
Compute the output value of the variables x and y with respect to the input values of x, y, and z coefficients.
A factory makes 300 sheets of construction paper per hour. How many sheets of construction paper will the factory make in 2 hours?
Answer: 600 sheets
Step-by-step explanation:
300/1 -> 300 sheets per 1 hour
To find the number in two hours, multiply the numerator and the denominator by 2.
300 x 2 = 600
1 x 2 = 2
Thus, the factor makes 600 sheets in 2 hours.
Pleas help me with this question im confused and I hate math
Answer:
its 2
Step-by-step explanation:
Write a system of equations with the solution (4,-3). Show your work.
Answer:
4x4 then dived by 8you will get 4x4=16 dived by 8=8