P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,) QC ,0)
8
7 케
6
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
5 4
92
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
2
1
-3 -2 -1o
Answers
Answer:
Step-by-step explanation:
p=4
Q=2
plot an x onto the 4 on th y line and a 2 on the x line
then draw a horizontal line with the ruler provided through 4 and 2
hope it helps :)
The solution to the equations are
a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )
b) The graph is plotted with points P and Q
c) The equation of line is 4x + 2y = 8
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
4x + 2y = 8 be equation (1)
Now , the coordinates of the point P = P ( 0 , y )
The coordinates of the point Q = Q ( x , 0 )
Substituting the values in the equation , we get
when x = 0
4 ( 0 ) + 2y = 8
2y = 8
y = 4
So , the coordinates of the point P = P ( 0 , 4 )
when y = 0
4x + 2 ( 0 ) = 8
4x = 8
x = 2
So , the coordinates of the point Q = Q ( 2 , 0 )
Now , the equation of line is 4x + 2y = 8
when x = { -2 , -1 , 0 , 1 , 2 , 3 }
The values of y are y = { 8 , 6 , 4 , 2 , 0 }
So, the line is plotted in the graph
Hence , the equation of line is 4x + 2y = 8
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
Related Questions
Find BC to the nearest tenth. Does anyone know how to do this? I rlly need it now pls.
Answers
9514 1404 393
Answer:
41.4
Step-by-step explanation:
The Law of Cosines tells you ...
a² = b² +c² -2bc·cos(A)
where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...
a² = 30² +26² -2·30·26·cos(95°)
a² ≈ 1711.96
a ≈ √1711.96 ≈ 41.38
The length of BC is about 41.4 units.
Need help ASAP Geometry
Answers
Answer:
Step-by-step explanation:
5x-1 is twice the bisector angle 4x-17 so
5x-1=2(4x-17)
5x-1=8x-34
-3x=-33
x=11, abc=5x-1
5(11)-1=54
please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
Answers
Answer:
your answer is up there
Step-by-step explanation:
Sorry for not being some help i really am Red Riot out
Can someone help me with this please?
Answers
Answer:
Classify by angles: Equiangular
Classify by sides: Equilateral
Step-by-step explanation:
An equiangular triangle has angles that all measure 60 degrees. An equilateral triangle is a triangle that has sides will all of the same lengths. This triangle meets both of these requirements.
Hope it helps!
HELP ASAP DUE SOON!!
Answers
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When using the distributive property, the expression
3(2x - 1) would be simplified to
Answers
Answer:
[tex]6x - 3[/tex]
Step-by-step explanation:
consider downloading photomath
In a series of operations without grouping symbo,multiplication and division are performed first TRUE or FALSE?
Answers
Answer:
TRUE
Step-by-step explanation:
P.E.M.D.A.S
parenthesis
exponents
multiplication
division
addition
subtraction
Hellppppp plzzzzzzzz
Answers
b) 11/37
c) 34/37
d) 9/37
For the group that studied in Question #8...
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
...what is the mean absolute deviation of the group, rounded to the nearest tenth?
Answers
Answer:
93
Step-by-step explanation
add all of the numbers and devide them by the amount of numbers there are.
which of theses three numbers is the largest 4.187 or 4.2 or 4.099
Answers
A laptop computer is normally $1300 but is discounted to $988. What percent of the original price does Charles pay?
Answers
Answer:
Step-by-step explanation:
Your answer
24% discount.
Pays a total of 76 % cost
Mark it as Brainlist. Follow me for more answer.
If x + 3 = 13, then the value of 5x – 74 is
Answers
Answer:
-24
Step-by-step explanation:
We are given two equations and are asked to solve if one equals a certain amount to the other.
Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?
10 of course, therefore x = 10, and we can implement into the other equation.
5x - 74
Since x = 10, we can substitute x with 10 and then multiply.
5(10) - 74
50 - 74
What is 50 - 74?
-24
An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.
Answers
Answer: [tex]\dfrac{5}{14}[/tex]
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]
[tex]=\dfrac{5}{8}[/tex]
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = [tex]\dfrac47[/tex]
The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]
Required probability= [tex]\dfrac{5}{14}[/tex]
Hey guys I need your help on this!!
Answers
Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Find the slope!!
and quick
Answers
Answer:
they are doing a multiples of -8
Answer:
The answer is - 8
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8[/tex]
The following circular sign is hanging up at ODMS. The diameter of the circle is 20 inches. Which measurement is closest to the area of the circle?
a
1256 in2
b
31.4 in2
c
62.8 in2
d
314 in2
Answers
Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH
Answers
Answer:
(1,-1)
Step-by-step explanation:
Find the middle between the two points:
4 to -2=6, so the middle would be 3
4-3=1
-8 to 6=14, so the middle would be 7
-8+7=-1
Answer:
[tex]\displaystyle (1,-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point G(4, -8)
Point H(-2, 6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{4-2}{2},\frac{-8+6}{2})[/tex][Fraction] Subtract/Add: [tex]\displaystyle (\frac{2}{2},\frac{-2}{2})[/tex][Fraction] Divide: [tex]\displaystyle (1,-1)[/tex]9. Two homebuilders are in the middle of installing windows on their homes. Tom uses the equation
y = 7x + 2 to model the number of windows he is installing on his home and Suzanne uses the equation
y = 6x + 5 to model the number of windows she is installing on her home. In each formula, x represents the number of days that Tom and Suzanne work on installing windows.
Who is working at a faster rate? How do you know?
Who started with the most windows already installed? How do you know?
Answers
Answer:
Hence, Suzanne is working at a faster rate.
Suzanne started with the most windows already installed
Step-by-step explanation:
Number of windows he's installing :
Tom's equation :
y = 7x + 2
Suzanne's equation :
y = 6x +5
x = number of days used
Let y = 10
Tom:
10 = 7x + 2
10 - 2 = 7x
8 = 7x
x = 8/7 ; x = 1.143
Suzanne :
y = 6x + 5
10 = 6x + 5
10 - 5 = 6x
5 = 6x
x = 5/6
x = 0.833
Since 0.833 < 1. 143
Hence, Suzanne is working at a faster rate.
Intercept in Suzanne's equation = 5
Intercept in Tom's equation = 5
Suzanne started with the most windows already installed
The diameter of a circle is 54 cm. Calculate the circumference of the circle.
Answers
c=2πr=2*π*27= 169.646
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answers
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
help me with this answer please !
Answers
Answer:
pick number 3 I think that's the one
10. What is the length of s?
I
450
Answers
3 cos A = 4 sin A
find
a) cos A
b) 3-cot2 A+ cosec2A
Answers
Answer:
a). cosA = 4/5
b).
[tex]3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0[/tex]
Answer:
hope it will help you☺
Step-by-step explanation:
hope
Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6
Answers
Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
Please help the problems are in the picture provided below.
Answers
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
A function is given:
f(x) = 3x + 12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
Answers
Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
100 POINTS can someone help please??
I need to rewrite this poem into an adaptation(simple words easier to understand) and I am struggling
Answers
Answer:
i dunno
Step-by-step explanation:
Answer:
i had done already.thanks for 50 points
What are the scale factor and center of dilation?
Answers
Answer:
Step-by-step explanation:
Find the slope of the line.
a.-7
b.7
c.-1
d.1
Answers
Answer:
(-1)
Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.
Answer:
d.1
Step-by-step explanation:
For this question, use change in y value from one point to another over change in x value from one point to another.
Plz help ill give u brainliest!
Answers
Answer:
4320
Step-by-step explanation:
Multiply 18000 by 6 then multiply it by 0.04 and you get 4320
IT IS AAAAAAAAAAAAAA
$18,000x6 then divide by .40
So it should be d!