Answer:
Option D is your answer.
Step-by-step explanation:
Remember that the x-values are the x coordinates and the y-values are the y coordinates in an ordered pair. Ordered pairs are written like this (x,y).
So for line r, you got (-6,4), (-3,0), and (0,-4).
But you only need two of these pairs to determine slope. Let's do that real quick, by using this formula. (Sorry if it's small)⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
We'll use (-6,4) and ( -3,0).
0 - 4 = -4
-3 - (-6) = -3 + 6 = 3
So slope of line r is -4/3.
Now we'll do the same for line s:
Ordered pairs = (-5,-4), (5,0), and (20,6)
We'll use (-5,-4) and (5,0).
0 - (-4) = 0 + 4 = 4
5 - (-5) = 10
So slope of line s is 4/10 or 2/5.
Now we got to find the option choice that has these as the slopes.
We'll turn each into slope-intercept form.
A)
- Subtract 4x on both sides to get
3y = -4x - 12, then divide 3 on both sides to get y = -4/3 x - 4.
- Subtract 2x on both sides to get
-5y = -2x + 10, then divide -5 on both sides to get y = 2/5 x - 2.
B)
- Add 4x on both sides to get
3y = 4x + 12, the divide 3 on both sides to get y = 4/3 x + 4.
- Subtract 2x on both sides to get
-5y = -2x - 10, divide -5 on both sides to get y = 2/5 x + 2.
C)
- Subtract 4x on both sides to get
-3y = -4x - 12, then divide -3 on both sides to get y = 4/3 x + 4.
- Add 2x on both sides to get
-5y = 2x + 10, then divide -5 on both sides to get y = -2/5 x -2.
D)
- Add 4x on both sides to get
-3y = 4x - 12, then divide -3 on both sides to get y = -4/3 x + 4.
- Add 2x on both sides to get
5y = 2x + 10, then divide 5 on both sides to get y = 2/5 x + 2.
After all that writing we can tell that D is our answer, because both -4/3 and 2/5 appear as slopes.
Sorry this may seem like a lot, but the process really isn't that hard. Hope this helps :)
If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?
If the output and input of a linear equation are proportional, the graph of the equation cross the x-axis at (0, 0).
What are proportional functions?In any function, the amount of one quantity is dependent on the amount of another. All proportional functions use a rate in the same way. We call the rate the constant of variation, or the constant of proportionality. It’s a constant because this number does not change within the function. Because the input and output are linked by a constant, changes in the independent variable cause the dependent variable to change in a proportional, steady way.
y ∝ x
⇒ y = kx
where k is the constant of proportionality.
For the graph of this function to cross x axis, y = 0
When y = 0 and k is some non zero constant value, x = 0
Thus, the coordinate at which the graph of the function crosses x axis is (0, 0).
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A west Texas city has a population of 9,525. A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration. How many of the cities people want a fireworks display for the 4th of July
Answer:
5334 People
Step-by-step explanation:
Look up percentage calculator if u ever run into a similar question. ;)
The number of people for the cities people want a fireworks display for the 4th of July will be;
⇒ 5,334
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A west Texas city has a population of 9,525.
And, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.
Now,
Since, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.
Hence, The number of people for the cities people want a fireworks display for the 4th of July is,
⇒ 56% of 9,525
⇒ 56/100 × 9525
⇒ 5,334
Thus, The number of people for the cities people want a fireworks display for the 4th of July = 5,334
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Find a value for x that makes the equation true. 3(10 - x) = 6
NO DOWNLOADS
Answer:
8
Step-by-step explanation:
distribute
30-3x=6
get x alone
-3x=6-30
-3x=-24
divide
x=8
what is the value of ST?
R & U are the midpoints of TV & SV. By using mid point theorem..,
ST = 2 RU
y + 6 = 2 (y - 23)
y + 6 = 2y - 46
y - 2y = - 46 - 6
- y = -52.
=》 y = 52.
ST = y + 6 = 52 + 6 = 58
=》 ST = 58
_____
RainbowSalt2222 ☔
If someone could tell me the equation to set up the problem for me it would be great! My teacher didn’t go over how to solve it when the equation is on both sides. And if you could explain why would be totally amazing!
Answer:
3x + 3 = 54 degrees
x + 2 = 19 degrees
Step-by-step explanation:
Since, both angles add up to 73 degrees, write these equation
X + 2 + 3x + 3 = 73
4x + 5 = 73
4x = 73 - 5
4x = 68
4x/4 = 68/4
x = 17
Substitute the value of x to x + 2 and 3x + 3
x + 2
17 + 2 = 19°
3x + 3
3(17) + 3
51 + 3 = 54°
Now add them
54 + 19 = 73°
Hailey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.60 plus $0.75 per mile. The total fare was $8.35, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Answer:
1.60+0.75x=8.35
x=9
Step-by-step explanation:
1.60+0.75x=8.35 will be the equation to determine the number of miles x.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
Pickup charge (fixed charge) = $4.60
Charge per mile = $0.75 /mile
Total charge = $8.35
So,
Total charge = pick up charge + Charge per mile × number of mile(x)
8.3.5 = 1.60 + 0.75x
1.60+0.75x=8.35
Hence "1.60+0.75x=8.35 will be the equation to determine the number of miles x".
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Find y when x = 14, if y = -3 when x = 6. Please help..
Answer:
y = -7
Step-by-step explanation:
6 : -3
2 : -1
14 : -7
Answer:y=-28
Step-by-step explanation:
14 x 6 = 84
84/-3
=-28
Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes. How much money did Luther earn in all from that sale?
Answer:
$32.13
Step-by-step explanation:
Given:
He sells both types of tomatoes for $1.70 per pound. One customer bought 10.6 pounds of red tomatoes and 8.3 pounds of green tomatoes.
To Find the Answer multiple 1.70 by 10.6 Add 1.70 multiple by 8.3 and that will give you the answer.
Calculate:
1.7*10.6 + 1.7*8.3=
$32.13
Therefore Luther made $32.13 in all from that sale.
Which equation represents fertilization?
haploid + diploid = diploid
diploid + haploid = haploid
haploid + haploid = diploid
diploid + diploid = diploid
Answer:
option c haploid + haploid = diploid
Step-by-step explanation:
Answer:
haploid + haploid = diploid
Step-by-step explanation:
I just took the test
trust me bro
Philip is having a party and wants to spend less than $584. He has already spent $500. The only item left on his list is sodas, which cost $12 per case. How many cases of soda, x, can Philip purchase and stay under his budget?
Answer:
x=7
Step-by-step explanation:
x= (584-500) ÷ 12
x= [tex]\frac{584- 500}{12} \\[/tex] ( x=[tex]\frac{84}{12}[/tex])
x=7
C:
enjoy your holidays!
Determine if y=4x2−5 is linear, quadratic, or exponential.
Group of answer choices
Answer:
quadratic
Step-by-step explanation:
Are these ratios equivalent?
25 words every 10 years
35 words every 14 years
A: Yes
B: No
wich one
Answer:
No
Step-by-step explanation:
if im wrong forgive me if im right please mark brainleast
Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x-6
g(x)=3x+3 Write the expression
(f+g)(x)=
(f•g)(x)=
(f-g)(-1)=
Answer:
(f+g)(x)=4x-3
[tex](f•g)(x)=3( {x}^{2} - x - 6)[/tex]
(f-g)(x)= -4x-9
{f-g}(-4)= -6
If 40 is multiplied by a number identify a number that will give a product less than 40 Explain why you chose this number
Answer:
Any negative number or decimal, for example, -1, or 0.5
Step-by-step explanation:
-1 multiplied by 40 turns into -40, which is less that 40
0.5 times 40 is 20, which is less that 40
For the given condition, the product should be less than 40 the value of x must be less than 1.
Given that,
40 is multiplied by a number to identify a number that will give a product less than 40, the number is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x,
40 is multiplied by a number to identify a number that will give a product less than 40,
40 * x < 40
Dividing both sides by 40,
x < 40 / 40
x < 1
Thus, for the given condition, the product should be less than 40 the value of x must be less than 1.
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Aron is training for a 10 km marathon swim in 18 weeks. Each week, his training plan
includes a long distance swim. Over the first 6 weeks, Aron swam a total of 18.75 km. Over
the first 10 weeks, Aron swam a total of 36.25 km. Each week, Aron increased the distance
he swam following an arithmetic sequence until the final week.
a. By what distance did Aron increase his total swimming each week?
Answer:
a. 0.25 km
Step-by-step explanation:
For an arithmetic sequence, the sum of all terms up to term n is
sum = n/2[2a + (n - 1)d]
We are given:
sum of first 6 terms = 18.75
sum of the first 10 terms = 36.25
6/2[2a + (6 - 1)d] = 18.75
10/2[2a + (10 - 1)d] = 36.25
3(2a + 5d) = 18.75
5(2a + 9d) = 36.25
2a + 5d = 6.25
2a + 9d = 7.25
4d = 1
d = 0.25
2a + 5(0.25) = 6.25
2a = 5
a = 2.5
The common difference is 0.25 km.
Answer: a. 0.25 km
How much times do you have to times by 3 to get to 83
Use the table to work out the values of a , b , c , and d .
Answer:
a = 10, b = 6, c = 2, d = 0
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate
x = - 3 : y = 4 - 2(- 3) = 4 + 6 = 10 → a
x = - 1 : y = 4 - 2(- 1) = 4 + 2 = 6 → b
x = 1 : y = 4 - 2(1) = 4 - 2 = 2 → c
x = 2 : y = 4 - 2(2) = 4 - 4 = 0 → d
Answer:
Just a cheerful teen willing to help,
stay salty...
Step-by-step explanation:
a=10
Substitute for x
y=4-2(-3)
y=4--6
y=4+6
y=10
b=6
Substitute for x
y=4-2(-1)
y=4--2
y=4+2
y=6
c=2
Substitute for x
y=4-2(1)
y=4-2
y=2
d=0
y=4-2(2)
y=4-4
y=0
I need help solving for X
Answer:
x = 63
Step-by-step explanation:
This is a right angle, and we know that there are 90 total degrees in a right angle. Because of this information, we know that the degrees of both angles, added together, should come out to 90. This reasoning looks like this:
[tex]25+(x+2)=90[/tex]
Now, it's much easier to solve for x. I'll start by removing the parentheses and combining like terms.
[tex]25+x+2=90\\25+2+x=90\\27+x=90[/tex]
Now, let's remove 27 both sides to isolate x and figure out what it's equal to.
[tex]27+x=90\\x = 63[/tex]
So, the measure of x is 63 degrees. We can make sure this is correct by using our equation:
Is [tex]25+(63+2)=90[/tex]? Yes, because 63 + 2 is equal to 65, and 65 plus 25 is equal to 90. So our answer is correct.
If you need any more help, let me know! :)
Answer:
x = 63°
Step-by-step explanation:
(x + 2) + 25 = 90
x + 2 = 90 - 25
x + 2 = 65
x = 65 - 2
x = 63°
(x + 2) + 25 = 90
(63 + 2) + 25 = 90
65 + 25 = 90
90 = 90
Write 8*8*8*8*8*8*8 using an exponet
Answer:
Step-by-step explanation:
= 8^7 = 2^21
Answer:
[tex]8^{7}[/tex] hopefully this helps
Step-by-step explanation:
If in 1 hour the train can go 550 miles how long would it take to go 330 miles
Answer:
32.7 min
Step-by-step explanation:
60 x 300 = 18000 / 550 = 32.7
I NEED HELP ON 11 PLEASE
Answer:
1579.5
Step-by-step explanation:
i think ...
81 x 39 =3159 / 2 (because there are 2 sides )=1579.5
Evan went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium. Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
Answer:
Evan purchased 7 frozen dinners and 9 cans of soup.
Step-by-step explanation:
Since Evan went to the grocery store and purchased cans of soup and frozen dinners, and each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium, and Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium, to determine the number of cans of soup purchased and the number of frozen dinners purchased the following calculation must be performed:
16 x 550 + 0 x 150 = 8800
8800 - 5200 = 3600
550 - 150 = 400
3600/400 = 9
7 x 550 + 9 x 150 = X
5200 = X
Therefore, Evan purchased 7 frozen dinners and 9 cans of soup.
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
Greater than 2+5
PLEASE HELP
Which is rational?
A. 3
B. 33π
C. 3√3
D. −3π
the line x+2y-3=0 and 4x+5y-9=0 intersect at m.Find the cordinates of m
Answer:
The coordinates of m are (1, 1).
Step-by-step explanation:
¿Cuál es la factorización en primos de
77?
71 71
75 3·52
76 22·19
77 7·11
78 2·3·13
Los factores de 77 en factorización prima son 1, 7, 11 y 77
PLZ HELP!!!!!!!! <3333
Answer:
i cant see anything
Step-by-step explanation:
.
What is the solution to this system of equations? x-2y = 15 2x+4y=-18
А. x = 1, y = -6. B. x= 1, y=-7
C. X= 3, y = -6. D. x= 3, y = -7
Answer:
C
Step-by-step explanation:
Answer:
C. x=3 y=-6
Step-by-step explanation:
C. x=3 y=-6
x-2y=15 2x+4y=-18
(3)-2(-6)=15 2(3)+4(-6)=-18
3+12=15 6-24=-18
15=15 -18=-18
What transformations were applied to ABCD to obtain AB'C'D?
A. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units left
B. Rotate 90 degrees counterclockwise about the origin, then
translate 3 units left
C. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units right
D. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units left
Answer: The answer is B
Step-by-step explanation:
The transformation applied to A'B'C'D' is rotating the quadrilateral by 90 degrees counterclockwise about the origin, then translating 3 units left
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the quadrilateral be represented as ABCD
Now , the transformed quadrilateral is A'B'C'D'
And , coordinates are A ( 1 , 5 ) , B ( 1 , 9 ) , C ( 5 , 9 ) and D ( 5 , 5 )
Now , the square is rotated by 90° counterclockwise and translated 3 units to the left
So , 90° counterclockwise rotation: (x,y) becomes (-y,x)
The coordinates are A' ( -5 - 3 , 1 ) , B' ( -9 - 3 , 1 ) , C' ( -9 - 3 , 5 ) and D' ( -5 - 3 , 5 )
The coordinates are A' ( -8 , 1 ) , B' ( -12 , 1 ) , C' ( -12 , 5 ) and D' ( -8 , 5 )
Hence , the quadrilateral is rotated by 90° counterclockwise and translated 3 units to the left
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Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible !!!!!!
Hello there!
The answer is yes.
Because the vertical line touches it only once.
Therefore, our answer is: yesHope you find this helpful!
~Just a felicitous girlie
#HaveASplendiferousDay
[tex]SilentNature[/tex] here to help