Given:
The equation of a line is:
[tex]y=x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1[/tex]
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=1(x-3)[/tex]
[tex]y+4=x-3[/tex]
Subtracting 4 from both sides, we get
[tex]y=x-3-4[/tex]
[tex]y=x-7[/tex]
Therefore, the equation of the required line is [tex]y=x-7[/tex].
18⅔ ÷ ⅔
how many children are there?
Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2
Answer:
The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6
Step-by-step explanation:
Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answer:
possibly 11 hours on each which is embarrassing
Solve 12x + 5 = 4x + 37
Step-by-step explanation:
12x-4x=37-5
8x=32
x=32/8
x=4
Which statement can be represented by the equation 18 divided by m = 7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
A number,m,is seven point two . Eighteen divided by a number,m,is seven point two
Answer:
its c
Step-by-step explanation:
just to make it easier for you:)
Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units
Answer:
36 pi
Step-by-step explanation:
The radius is 6
A = pi r^2
A = pi 36
Answer:
Area of circle = 36 π square unit
Step-by-step explanation:
To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.
Area of circle = π × r²
where,
r is the radius of circlesubstitute the value
Area of circle = π × ( 6 ) ²
expand the exponent
Area of circle = π × 36
multiply
Area of circle = 36 π square unit
find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP
Answer:
[tex]192.27\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.
What we're given:
2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degreesTherefore, the area of the shaded regions (two sectors) is:
[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]
Write the equation of a line with the following slope and y-
intercept.
Slope= -3, y-intercept = 2
Y= -3x+2
Y= 2x-3
Y= -3x-2
Answer:
[tex]Y= -3x+2[/tex]
Step-by-step explanation:
Slope : [tex] - 3[/tex]
y-intercept = 2
Hope it is helpful...Car price $118,191
Percent for car loan: 2.49%
36 months
Find monthly payment show work
Answer:
3410.64
Step-by-step explanation:
Gonna assume that the 2.49 is the APR
present value of the loan= present value of the payments
effective rate: .0249/12= .002075
x= payment
[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]
The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.
Answer:
[tex] \frac{13}{2} [/tex]
Step-by-step explanation:
slope of the line that passes thru (5, 3) and (8, A)
[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]
the line that is perpendicular to the given line is
6x + 7y + 13= 0
finding the slop of this line :-
[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]
Comparing with standard equation of a line
y = mx + c
where m is the slop and c is the y- interceptm = - 6/ 7
Since, the two lines are perpendicular to each other the product of their slopes will be - 1
[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]
( canceling the 2 negative signs on both the sides )
If you have to multiply the previous number by 2 in the y intercept in order to receive the next number, what would the equation be?
Answer:
Jsjsjsjsjwjwksjsjjsisisiwiw
PLEASE HELP WITH THIS GEOMETRY PROJECT IM GIVING ALL MY POINTS (45)
Answer:
YEAH!!!!!! ITS 45
Step-by-step explanation:
MHM!
Answer:
woooooooooooooooohoooooooooo points go brrrrrr
Step-by-step explanation:
!!
Find the nth term for 3,8,13,18
Answer:
5n - 2
Step-by-step explanation:
3 + x = 8
8 - 3 = 5
5 = x
3 (first term) - 5 = -2
5n - 2
Answer:
nth term = 5n - 2
Step-by-step explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!
1.5 m
7.1 m
7.1 m
V=
Answer:
75.615 m^3
Step-by-step explanation:
volume is length x width x height
7.1*7.1*1.5
75.615 m^3
Answer:
POINTS
Step-by-step explanation:
help pls it’s due in 2 hours
Step-by-step explanation:
tan < BCA = x/y = 3/18= 0.1667
< BCA = arc tan 0.1667 = 9.464° => 9.46°
from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff
[tex]<marquee>Give:/u Name[/tex]
6 cars 4 people in each car HELP I HAVE 3 minutes
Answer:
Here we have 6 cars.
And we know that there are 4 people in each car.
The question is incomplete, I assume that we want to find the total number of people in the 6 cars.
So, again, there are 6 cars, and 4 people in each one.
Then we have 6 times 4 people.
This is equal to the product between 6 and 4, which is:
6*4 = 24
There is a total of 24 people in the 6 cars.
Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3
What is the length of segment BC?
Answer:
3
Step-by-step explanation:
A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3
[tex]9 \div 3 = 3[/tex]
The length of the segment BC or preimage of BC was 3 units.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.
From the graph diagram the length of segment B'C' is 9 units.
Therefore, Before the dilation, the length of the segment BC would be
(1/3)×9.
= 3 units.
learn more about transformations here :
https://brainly.com/question/11709244
#SPJ2
Convert 4cm to meters
Answer:0.04
Step-by-step explanation:
Answer:
0.04 meters
It's too simple
PLZ ANSWER AND EXPLAIN IN DETAIL !!!!
Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
Add the following numbers. (-4) + (-9) =
Answer:
-13
Step-by-step explanation:
Adding a negative means that you subtract the number as + (-) = -
This means that the equation is -4-9=-13.
Answer:
-13
Step-by-step explanation:
Quick please someone help!!! This is my last day to turn in work and if I don’t I’m getting my phone, tv and privileges to go hang out with friends taken away. I would really like to keep my friends so please help me!!! :,(
Answer:
angle MPN = 79°
angle MPQ = 101°
Help please will be marked as brainliest if correct.
Answer:
5
Step-by-step explanation:
Greater than 0
Less than 100
Is not 4, but is greater than four
Is less than 5.5
Must be a whole number
5 is the only whole number between 4 and 5.5
25.673 round off to the nearest hundredth
Answer:
25.67
Step-by-step explanation:
Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is
25.67
help me please as soon as possible. I will mark you as the brainliest
1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
You get 11 points if you answer a.s.a.p
Answer:
Have you got it now?
Step-by-step explanation:
Find the area of an equilateral triangle whose value is 18 cm
Answer:
[tex]18 + 18 + 18 = 18 \times 3 = 54[/tex]
Step-by-step explanation:
I ain't sure but it might help you out:D
Answer:
140.3 cm²
Step-by-step explanation:
area of an equilateral triangle
[tex] = \frac{\sqrt{3} }{4} {a}^{2} [/tex]
where a is the side of the triangle
[tex] = \frac{ \sqrt{3} }{4} \times {18}^{2} \\ = 140.3 \: cm {}^{2} [/tex]
Evaluate the expression below when x = 4 and y = -2 *
Answer:
Evaluate the expression below when x = 4 and y = -2 *
hii your question is incomplete
can you please recheck once
there is no expression given
Susan buys the items listed below at a grocery store. 2 packages of chicken priced at $13.26 per package 1/2 pound of broccoli priced at $ 1.88 per pound 1 gallon of milk priced at $3.49 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $ 0.05 in change. What amount of money does Susan use to pay for the items?
Answer: $31.00
Step-by-step explanation:
The cost of the items bought will be:
2 packages of chicken priced at $13.26 per package = 2 × $13.26 = $26.52
1/2 pound of broccoli priced at $ 1.88 per pound = 1/2 × $1.88 = $0.94
1 gallon of milk priced at $3.49 per gallons = 1 × $3.49 = $3.49
Since Susan pays for the items and receives $ 0.05 in change, the the amount of money that Susan use to pay for the items will be:
= $26.52 + $0.94 + $3.49 + $0.05
= $31.00
The amount Susan uses in paying is $31.00.
N is a number such that N ÷ 18= 16. What is the value of N?
Answer:
288 po
Step-by-step explanation:
288 divided by 18 is 16
