The equation of a line that is parallel to (2y - x = 16) and passes through the point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex] and this can be determined by using the slope-intercept form of the line.
Given :
Line Equation -- 2y - x = 16Point -- (-6,1)First, convert the given line in slope-intercept form that is in the form of (y = mx + c).
2y = x + 16
[tex]y = \dfrac{1}{2}x +16[/tex]
Comparing the above equation with slope-intercept form.
m = 0.5
c = 16
The line parallel to the line (y = 0.5x + 16) means the slope of that line is also equal to 0.5.
The equation of the line whose slope is m and passing through the point [tex](x_1,y_1)[/tex] is given by:
[tex](y-y_1) = m(x-x_1)[/tex]
Now, put the value of slope m and point [tex](x_1,y_1)[/tex] in the above equation.
[tex](y - 1)=0.5(x+6)[/tex]
So, the equation of a line that is parallel to (2y - x = 16) and passes through the point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex].
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What is the change from 3 to -2
Complete the multiplication problem to find the answer.
Answer:
A
Step-by-step explanation:
Answer:
a) 39.71
Step-by-step explanation:
(x+y,x-y)=(8,0) find the value of x and y
Solve this
3x + 2 = 26
Answer:
x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Undo what is done to x. We see that x is multiplied by 3 and then 2 added. We undo these steps in reverse order.
3x +2 = 26 . . . . . . given
3x = 24 . . . . . . . . . subtract 2 from both sides of the equation
x = 8 . . . . . . . . . . . divide both sides of the equation by 3
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT
Answer:
- 7x^2 + 3xy - 9y
Step-by-step explanation:
(2xy- 4x^2) - (9y + 3x^2 - xy)
Add the second polynomial:
Change all the signs in the second polynomial because it has a negative sign before the parentheses.
= 2xy - 4x^2 - 9y - 3x^2 + xy
Combine like terms:
(-4x^2 - 3x^2) + (2xy + xy) - 9y
= -7x^2 + 3xy - 9y
List the first 4 terms of the sequence 3n² + 1
Answer:
4, 13, 28, 49
Step-by-step explanation:
1st term = 3 × (1)² + 1 = 4
2nd term = 3 × (2)² + 1 = 13
3rd term = 3 × (3)² + 1 = 28
4th term = 3 × (4)² + 1 = 49
The first for terms of the series can be found by substituting the n for the term it is:
= 3(1)² + 1 , 3(2)² + 1 , 3(3)² + 1 ,3(4)² + 1
= 4, 13, 28, 49
Determine the value of x for which r || s. then find m<1 and m<2.
Answer:
thx you so much
have a nice day
As the school’s sign language interpreter, Kiran gets paid $34 for every parent-teacher conference that he attends. He also gets paid $22 per school-related assembly that he attends as an interpreter. If Kiran earns $1008 for 36 paid events, how many parent-teacher conferences and how many school-related assemblies did he attend ?
Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.
Let x represent the number of parent-teacher conference and y represent the school-related assembly.
Since Kiran earns $1008 for 36 paid events, hence:
x + y = 36 (1)
34x + 22y = 1008 (2)
Solving equations 1 and 2 simultaneously gives:
x = 18, y = 18
Therefore Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.
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Graph the following features:
Y-intercept = -2
Slope = 1
Answer:
Follow the steps below!
Step-by-step explanation:
If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.
Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler or other straight edge if straight lines are a challenge to draw.
in the given parallelogram ABCD , find the value of x and y
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Value of given variables are :
[tex]x = 36 \degree[/tex][tex]y = 37 \degree[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
The solution is in attachment ~
in the given parallelogram ABCD , find the value of x and y
Answer:
x = 36
y = 37
if 8 blouses cost $1,200 Find the cost of 3 blouses
Answer:
3 Blouses cost $450
Step-by-step explanation:
1,200 ÷ 8 = 150
150 x 3 = 450
Answer: $450
Step-by-step explanation:
First divide 1,200 by 8 (150) Then times that by 3 to get the answer
Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is
$1,567.32, what amount will she be charged for interest?
O $26.63
O $22.19
O $45.00
O $31.19
what is the value of Y
Answer:
y = 150º
Step-by-step explanation:
The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:
2x + x + (x - 20) = 180
4x - 20 = 180
4x = 200
x = 50
x - 20 = 50 - 20
x - 20 = 30
y = 180 - 30
y = 150º
Find the missing angle measures. Be sure to show your work in arriving at your answers.
Please help urgently thank you,
Answer:
k=50º
m=90º
Step-by-step explanation:
a line is 180º total
so 130+k=180
k=50
a triangle also is 180º total
so 180-40-k=m
180-40-50=m
90=m
i need help with this fast
Answer:
68
Step-by-step explanation:
the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.
What is the proportional rate for 15/21=20/y?
Answer:
y=28
Step-by-step explanation:
15/21=20/y
15y=420
y=28
Please help me!I will give you 44 points
Answer:
a) 5/4
b) y = 5/4x + 27
Step-by-step explanation:
To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.
4y - 5x = 2
4y = 5x + 2
y = 5/4x + 1/2
m(gradient) = 5/4
For lines to be parallel, simply keep the gradient the same. Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.
Hope it helps :)
Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.
Answer:
h^2+2ah
Step-by-step explanation:
When f(x) = 1-x^2
f(a) = 1 - a^2
f(a+h) = 1 - (a+h)^2
= 1 - a^2 + 2ah + h^2
Subtracting the two:
f(a+h) - f(a)
= (1 - a^2 + 2ah + h^2) - (1-a^2)
= 1 - 1 - a^2 + a^2 + 2ah + h^2
= 2ah + h^2
= h^2 + 2ah
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Help pleaseeeeeeeeeeee
Answer:
[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]
The number of women elected to the us house of representatives has increased nearly every congress since 1985 in ths 99th Congress to beginning in 1985 there were 22 female representatives in the 109th Congress beginning in 2005 there were 68 female representatives write a linear eauation that models the number of female members lf the house of representatives x years after 1985
Answer:
y = 2 · 3 x + 22
Step-by-step explanation:
Analysis: Number of female representatives in 1985 = 22
This can be represented by the point (0,22).
Number of representatives in 2005 = 68.
This can be represented by the point (2205-1985,68)
= (20,68)
Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3
∴ Equation of the line : y = mx + c
⇒ 22 = 2 · 3 (0) + c
⇒ C = 22
∴ y = 2 · 3 x + 22
The Wilsons have triplets and another child who is ten years old. The sum of the ages of their children is 37. How old are the triplets
Hope this helps have a nice day!!!!
Eliot went to the store and bought 4 1/2 pounds of chicken for $12.00. What was the cost per pound of chicken? round you answer to the nearest cent is necessary.
I will give you brainly
Answer:
$2.67
Step-by-step explanation:
$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound
Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.
what is the unit rate for miles per gallon if you travel 588 miles on 28 gallons of fuel
Answer: im pretty sure its 21 mi per gal
Step-by-step explanation:
Please solve... I will mark you brainliest
Answer:
x = 5
Step-by-step explanation:
[tex]6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5[/tex]
Please help, I’ll mark your answer as brainliest!
Answer:
1,234 thats the answer
I NEED HELP ASAP WILL GIVE BRAINLIEST
Step-by-step explanation:
length of missing side = sqrt(5^2 + 12^2) = sqrt(169) = 13
distance = sqrt(50^2 +25^2) =sqrt(3125)= 55.90metres
What is the slope of the line that passes through the points (8, -4) and (6, 2) ? Write your answer in simplest form.
Answer:
m=-3
Step-by-step explanation:
I just used the slope formula. Hope this helps! Also, I'm certain this is correct.
Given the function h(x) = 7 + 2x, find the value of h(6)
Answ 21?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The value of h(6) can be found by substituting 6 into the given equation where x is.
h(6)=7+2(6)=7+12=19
Can you help me please.
SOLVE FOR Y
[tex] \frac{5}{3} y = - (x - 5)[/tex]
Answer:
The answer is Y = -3/5x +3 (I think)
Please
Helppp!!
Geometry
Answer:
m∠6 = 54°
Hope this helps!
Step-by-step explanation:
( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).
Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x. ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.
Because Supplementary angles equal 180°, 18x + 18 = 180
18x = 162 x = 162/18 x = 9
Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )
∠6 = 45 + 9 ∠6 = 54