The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
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504300 in standard form
In a school election, 3/4 of the students vote. There are 1484 votes. Find the number of students.
There are a total of
students.
Answer: 1979 students.
Step-by-step explanation:
We are told that 3/4 (75% or 0.75) of total students voted, which amounted to 1484 votes.
Letting X be the total number of students, we can write that as:
(0.75)X = 1484
X = 1978.67 total students
Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student. So round to the nearest whole number, 1979 students.
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
what is the range of a parabola that opens down with a vertex at (1,-3)
Answer:
-3 to -infinity
Step-by-step explanation:
what is 13 divided by 4732
Answer:
Step-by-step explanation:
the answer is 13
find the gfc of 22x , 33
Answer:
11
Step-by-step explanation:
22x = 2 · 11 · x
33 = 3 · 11
common factor to both is 11
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
y=x−4
y=4x+2
Find x and y
Answer:
x = -2
y = -6
Step-by-step explanation:
x - 4 = 4x + 2
-4 = 3x + 2
-6 = 3x
x = -2
y = -2 - 4; y = -6
PT. 3 OF MY HW IT IS UNIT RATE
Answer: The rate of change decreased.
Step-by-step explanation:
LOKK AT THE PICTURE PLEASE
Answer:
A. 9
Step-by-step explanation:
Multiply 3x with x+2
3x(x+2)
Which is 3x^2+6x
Now substitute x with 1
1^2 is 1
3 times 1 is 3
6 times 1 is 6
3+6 is 9
Thus A.
Hope this helps!
0.25 divided by what eqauls -0.25
[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]
Answer:
well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer
Step-by-step explanation:
HELPPPPPPPPP!!! THIS IS DUE SOON!!!!!!!
Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,
Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Please Help Question in picture
Answer:
20
Step-by-step explanation:
Distance formula =
x={sq rt} of (x2-x1)^2 + (y2-y1)^2
{sq rt} (-7-5)^2+ (-7-9)^2 = {sq rt} (-12)^2 + (-16)^2 = {sq rt}
144+256= {sq rt} 400
{sq rt} 400 = 20
(I think its been a hot sec since I did distance formula stuff)
Answer:
20
Step-by-step explanation:
You can use the distance formula
sqrt(((5--7)^2)+((9--7)^2)) = 20
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
what is the answer, i need help
Answer: C 1/2mL LMN= mL LMO
Step-by-step explanation: because 2/76 is 38 C is the right answer
please help!! i don’t know how to do this please help asap.
f(x)=x^2-25. Determine the value of x for the given function formula
Answer:
You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.
Convert 6432 Decimal to Binary Number system ?
• Kindly don't spam !!
Answer:
6432)10 = (1100100100000)2
Step-by-step explanation:
Step 1: Divide (6432)10 successively by 2 until the quotient is 0:
6432/2 = 3216, remainder is 0
3216/2 = 1608, remainder is 0
1608/2 = 804, remainder is 0
804/2 = 402, remainder is 0
402/2 = 201, remainder is 0
201/2 = 100, remainder is 1
100/2 = 50, remainder is 0
50/2 = 25, remainder is 0
25/2 = 12, remainder is 1
12/2 = 6, remainder is 0
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).
Hopes that it will help u...☺
[tex]\huge \bf༆ Answer ༄[/tex]
The method to convert the number from Decimal to binary number system is simple ~
Divide the number continuously until it become 0 and write all the remainders from bottom to top.Now let's solve the given question ~
[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex][tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex][tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex][tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex][tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex][tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex][tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex][tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex][tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex] [tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex][tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex][tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex][tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]Now, write the numbers from bottom to top ~
[tex] \sf{1100100100000}[/tex]
I hope it helps ~
What is x? Show your work.
Answer: x=2
Step-by-step explanation: 28/4-5= 2
please help meeeeeeeeeeeeeeeeeeee
ty
Answer:
A
Step-by-step explanation:
hope this helped
Answer:
4y = -3x - 8
Step-by-step explanation:
What is an equation of a line that passes through the point
(0,3) and is perpendicular to the line whose equation is
y = 2x - 1?
-
Answer: y = -(1/2)x + 3
Step-by-step explanation:
y = 2x - 1
This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the reference line. The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).
This yields the equation y = -(1/2)x + b
To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:
y = -(1/2)x + b
3 = -(1/2)(0) + b
b = 3
The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:
y = -(1/2)x + 3
Ayuda por favor, no entiendo
A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?
The average speed in feet per hour will be;
⇒ 942.85 feet per hour
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance = 22 inches
Time = 7 seconds
Now,
Since, A tortoise moves at a speed of 22 inches in 7 seconds.
Hence, Distance = 22/12 feet
And, Time = 7 / 3600
Thus, The average speed = (22/12) / (7/3600)
= 22 × 3600 / 12 × 7
= 942.85 feet per hour
Therefore, The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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help me with this no links
Answer:
6 maybe I'm not sure jkeneekenene
Answer:
3x
Step-by-step explanation:
A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:
(3x-3)+(3x-3)=6x-6
And because we are given our perimiter, simply subtract the lengths we do know:
(12x+6)-(6x-6)=6x
This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:
6x/2=3x
Based on this, our length of the indicated side is 3x!
Hope this helped!
What principal will amount to 20,790 in 2 years at the simple interest of 5% per annum?
Answer:
18900
Step-by-step explanation:
I Can't Believe There Still Work It's Christmas Break
[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.
Answer:
x=1.5
Step-by-step explanation:
5=10(5x-7)0.5=5x-77.5=5xx=1.5Which is the sum of two or more different monomials?
Answer: Polynomial
Step-by-step explanation:
A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms
Answer: C. 6 therms
Step-by-step explanation:
6 + 1.25(6) = $13.50
9 + 0.75(6) = $13.50
Correct me if I am incorrect.