(PLSSSS HELP) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Answers
Answer:
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
Step-by-step explanation:
Given
[tex]x + 3y = 22[/tex]
Solving (a): The possible coordinates
We have:
[tex](x,y) = (-2,8)[/tex]
This gives:
[tex]x + 3y = 22 \to -2 + 3 * 8[/tex]
[tex]x + 3y = 22 \to -2 + 24[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(-2,8) is a point on the grid
[tex](x,y) = (7,5)[/tex]
This gives:
[tex]x + 3y = 22 \to 7 + 3 * 5[/tex]
[tex]x + 3y = 22 \to 7 + 15[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(7,5) is a point on the grid
[tex](x,y) = (-5,5)[/tex]
This gives:
[tex]x + 3y = 22 \to -5 + 3 * 5[/tex]
[tex]x + 3y = 22 \to -5 + 15[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(-5,5) is a not point on the grid
[tex](x,y) = (1,3)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 3[/tex]
[tex]x + 3y = 22 \to 1 + 9[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(1,3) is a not point on the grid
[tex](x,y) = (1,7)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 7[/tex]
[tex]x + 3y = 22 \to 1 + 21[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(1,7) is a point on the grid
So, we plot the following on the grid
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
See attachment
Related Questions
What is spread of data on a dot plot?
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Answer:
The spread is the range of the data. :)
Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)
Answers
Answer:
69 over 420
Step-by-step explanation:
trust me
Help? I forgot everything about this.
In the figure shown, KN is parallel to LM.
When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.
Answers
Answer:
Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.
Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given figure, KN is parallel to LM.
Here, ∠KJN = ∠LJM (Reflexive property)
Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answers
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
Pls help I’ll brainlest
Answers
Answer:
(D) 13/15
Step-by-step explanation:
Well there are 15 marbles in total.
There are 2 marbles that are blue
The qusection asks for the probability of NOT a blue
so 13/15
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answers
Answer:
?
Step-by-step explanation:
the choices, the question?
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answers
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3
If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?
Answers
Answer:
We write 4 times 4 because it includes 34,44,54,64in the data.
You would write 6 times the digit 4.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
You write all numbers from 30 to 65 including 30 and 65.
And in between there are following numbers that have digit 4:
34, 40, 44, 54 and 64.
That means, we wrote 6 times digit 4.
Therefore, digit 4 would be written 6 times.
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17. Find the surface area of the sphere in terms of pi. 7 yd
Answers
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answers
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .
True
False
Answers
Answer:
True
Step-by-step explanation:
Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.
How many hours of training would you need to have a salary of $2,620?
Answers
Answer:
80 Hours
Step-by-step explanation:
The Salary increases 200$ per 10 hours
Answer:
80 hours
Step-by-step explanation:
2620/122=10+70=80
40 divided by 28! HURRY!!
Answers
Answer:
fraction~ 10/7
decimal~ 1.428571
mixed number~ 1 3/7
Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number
Please can I have help on this
Answers
Answer:
64
Step-by-step explanation:
16/2
= 8
8 x 8 x (pie)
64(pie)
Answer:
From the diagram, the radius of the circle is 8cm therefore the area is
A =
[tex]a \: = \pi {r}^{2} [/tex]
= 201.1 cm^2
Can someone please help me with these two I will mark u brilliant
Answers
Answer:
The first answer is $4.97. The second answer is 1 over 16.
Step-by-step explanation:
For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.
For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.
What is the difference of 100 and 10
Answers
Answer:
The difference of 100 and 10 is 90.
Step-by-step explanation:
Answer:
the difference of 100 and 10=100-10=90
What is the value of the tangent of
Answers
Answer:
Step-by-step explanation:
With reference < H
perpendicular (p) = 12
base (b) = 5
so now
tangent of < H
= p / b
= 12 / 5
hope it helps :)
Perpendicular (p) = 12
Base (b) = 5
Tangent of < H
= p/b
= 12/5
Plz help!!!
Which equation represents the graph?
Answers
Answer:
Option C : y=|x|-6
Step-by-step explanation:
Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Answers
Answer: c is the answer
C: 0.560
Step-by-step explanation:
A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE
Answers
Answer:
786.85
Step-by-step explanation:
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
Answers
I just multiple 998 by 0.025 to get 24.95
2.5%=0.025
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
Answers
Answer:
115.3333
Step-by-step explanation:
346/3
Hope this helps. :)
Solve for x.
-1/5(x-4)= -2
Answers
Answer:
14
Step-by-step explanation:
Steps shown in the image
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answers
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
Plz need help fast.....
Answers
Answer:
See Below
Step-by-step explanation:
1: -9 Take the Square Root of 81 and then multiply by -1.
2: +- 1/3 1/3 *1/3= 1/9
3: -1 -1*-1*-1 = -1
Have a Great day!
Help please make the letter in the brackets the subject of each formula
Answers
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
Step by step explanation please!!
Answers
Answer:
what do you mean on the question?
Step-by-step explanation:
Which equation has infinitely many solutions?
es
A)
8x + 3
= 2x + 4
2
B)
15x + 5
= 5x + 2
3
C)
8x45
8x + 5
= 8x + 6
2
D)
9x + 6
= 3x + 2.
3
+ 2
Answers
Answer:
its c
Step-by-step explanation:
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answers
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
What is the answer to this
Answers
Answer:
4)
Step-by-step explanation:
This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].