Sketch a system of linear equations that has a solution of (-3, 7) on the coordinate grid provided. WILL GIVE BRAINIEST
Answers
Answer:
y=x+10
y=-2x+1
(see attached picture)
Step-by-step explanation:
The idea of solving a system of equations graphically is taht both graphs cross each other at the same point.
The problem doesn't state so, but we can find the equations of the lines that pass through the desired point by using the point-slope form of the equation and by picking any slope we wish.
The slope-intercept form of a linear equation looks like this:
[tex]y-y_{1}=m(x-x_{1})[/tex]
so let's use the following slopes: [tex]m_{1}=1[/tex] and [tex]m_{2}=-2[/tex]. Remember, you can pick any slope you wish.
so now we can substitute the provided point (-3,7) and its respective slopes:
[tex]m_{1}=1[/tex]
y-7=1(x-(-3))
y=x+3+7
y=x+10
this will be our first equation.
[tex]m_{2}=-2[/tex]
y-7=-2(x+3)
y=-2x-6+7
y=-2x+1
so now we can plot the graphs of the given equations.
how to plot them? you can pick any x-value you like and use the provided equatioins to find the corresponding y-value. You plot the two points and build the graph.
Let's take the first equation:
y=x+10
and let's use the x-value x=0. We now substitute that into the equation so we get:
y=0+10
y=10
so now my two ordered pairs are (0,10) and (-3,7) so I can plot them on my graph and connect them with a straight line. (see attached picture.)
and we can follow the same procedure for the second graph.
let's use the x=0 again so we get:
y=-2(0)+1
y=1
so the ordered pairs are: (0,1) and (-3,7)
so we plot them to get our final graph (see attached picture)
Of course, this is one of the ways in which we can solve this problem. Since they are asking us to plot the graphs and not quite finding the equations for the system of equations, you could just draw any two lines you like and the answer would be correct as long as the two lines pass through the same point.
We want to find and sketch a system of linear equations that passes through (-3, 7).
A system of equations is a set of equations that must be solved simultaneously. Here we want the solution of the system to be the point (-3, 7), so we just need to find two lines that pass through that point.
We can get:
y = x + 10
You can see that when evaluated in x = -3, we have:
y = -3 + 10 = 7
The other line can be:
y = -x + 4
When evaluated in x = -3, it gives:
y = -(-3) + 4 = 7
Then the system is:
y = x + 10y = -x + 4The graph of the system can be seen below.
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Related Questions
I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)
Answers
Answer:
1.7miles
Step-by-step explanation:
You have to multiply 14 by 3 and divide 14 by 8
Something like this
14x3/8
which would give you around 1,7miles
What is 30 ÷ 14 written as a fraction?
Answers
Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7
The value of the expression is 15/7.
What is division?Division is the process of dividing a number by a given number.
The given expression is 30 ÷ 14.
Solve the expression as follows:
30 ÷ 14
= 30/14
= 15/7
Hence, the value of the expression is 15/7.
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Find the slope of each line.
Answers
Answer:
D
Step-by-step explanation:
Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).
Answers
Answer:
We conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The slope of the line = m = -3The point = (13, 4)Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -3 and the point (13, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 4 = -3(x-13)[/tex]
Add 4 to both sides
[tex]y-4+4=-3\left(x-13\right)+4[/tex]
Simplify
[tex]y=-3x+43[/tex]
Therefore, we conclude that the line of equation containing the point (13, 4) with the slope m =-3 will be:
[tex]y=-3x+43[/tex]The graph of the line is also attached.
TIMED Be FAST PLS
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
How many unique random numbers must be read from the table of random digits?
A 5
B 15
C 60
D 75
Answers
Answer:
C
Step-by-step explanation:
Trust me just took the test
75 unique random numbers must be read from the table of random digits
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.
There are 75 students in the school who can participate in the experiment.
0 - 4 and 1 - 5 aren't enough.
0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
Hence, 75 unique random numbers must be read from the table of random digits
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What decimal represents 1/4
Answers
> Find the slope of the line passing through the points (-3, -8) and (5.6).
Answers
Answer:
y=1.75x-2.75 slope would be 1.75
Step-by-step explanation:
Use a Regression Calculator
Can some help thx.
Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.
Answers
Answer: Eva could have 6 dimes and 10 quarters.
y≤18−x
y≥12− 2/5x
Step-by-step explanation:
x+y≤18
0.10x+0.25y≥3
I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!
Answers
Answer:
Starting from the left.
4 × 3
5 × 5
2 × 5
4 × 5
4 × 4
1.5 × 2
Step-by-step explanation:
Divide all dimensions by 8.
What is the value of x in the equation (x + 12) = (x + 14) – 3?
Answers
(15 + 12) = (15 + 14) - 3
27 = 29 - 3 (true)
the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.
Answers
Answer:
x = 21
Step-by-step explanation:
The following data were obtained from the question:
Set of data => 7, 15, x–1, x+1, 24, 28
Median = 21
x =?
Median is simply defined as the middle term of a given data arranged either in ascending or descending order.
Next, we shall determine the median of the set of data. This can be obtained as follow:
7, 15, x–1, x+1, 24, 28
Median = [(x–1) + (x+1)]/ 2
Finally, we shall determine the value of x as follow:
Median = [(x-1) + (x+1)]/ 2
Median = 21
21 = [(x-1) + (x+1)]/ 2
21 = [x – 1 + x + 1] /2
21 = [x + x – 1 + 1] /2
21 = 2x / 2
21 = x
Thus, x is 21
****Check****
Median = 21
x = 21
Median = [(x–1) + (x+1)] / 2
21 = [(21 – 1) + (21 + 1)] / 2
21 = [20 + 22] / 2
21 = 42/2
21 = 21
In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?
Answers
Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?
Answers
Answer:
the percent of the pies did she sell is 84%
Step-by-step explanation:
The computation of the percent of the pies did she sell is as follow;
= Number of pies sold ÷ total number of pies purchased
= 42 ÷ 50
= 84%
Hence, the percent of the pies did she sell is 84%
We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come
Can someone please help and give the right answer
Answers
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.
Which number is greater...0987 or .12? Explain how you know
Answers
Answer:
.12
Step-by-step explanation:
.12 is equal to 12/100
and .0987 is equal to 0987/10000
Three vertices of parallelogram DEFG are D(-2, – 4),F(0,7), and G(1,0). Find the coordinates of E.
Answers
Answer:
(-3,3)
Step-by-step explanation:
I just put the points on a graph, and counted how far away from each other they were, and found the last Point.
I hope this helps!
The coordinates of vertex E of parallelogram DEFG is: (-3, 3).
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.
The given vertices of parallelogram DEFG are:
D(-2, – 4),F(0,7), and G(1,0)
Let (x, y) = coordinates of vertex E.
Find the coordinates of E
Find midpoint of D(-4, - 2) and F(3, 3) using :
[tex](\dfrac{-2+0}{2}, \dfrac{-4 + 7}{2}) = ( \dfrac{x + 1}{2}, \dfrac{y + 0}{2})[/tex]
[tex](-2, 3) = (x + 1, y)[/tex]
By comparison So, we have:
-2 = x + 1
x = -3
and
y = 3
Therefore, the coordinates of vertex E is: (-3, 3).
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Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?
Answers
9514 1404 393
Answer:
(x-8)/(4x-4) x ≠ 1 or 8
Step-by-step explanation:
Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.
[tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]
The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.
A value of 600 increases by 15%.
What is the new value?
Step 1 - change 15% to a decimal
Step 2 - multiply the decimal by 600
Step 3 - Add your answer from step 2 to 600 to get your answer.
Answers
Answer:
your steps are correct.
[tex]600 \times 15\% = 90 \\ new \: value = 600 + 90 \\ = 690[/tex]
Find the length of WZ
a. 25
b. 18
c. 9√2
d. 9
Answers
Answer:
18
Step-by-step explanation:
wz/18√2 = sin 45° = √2/2
wz = 18√2 x √2 / 2 = 18
if the cube above has a surface area of 54cm^3, what is the volume of the cube?
Answers
9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.
PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!
Answers
Answer:
[tex]\displaystyle m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 8)
Point (5, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=3[/tex]Answer:
3
Step-by-step explanation:
-3/-1 = 3
the slope of a line passing through (6,8) and (5,5) is 3.
Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:
Answers
400*60 is 24000
So, 24000f feet^2 is the area
- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?
Answers
Answer:
1.88 pounds
Step-by-step explanation:
First, find the total amount of sugar, since there were 2 shipments
22.56(2)
= 45.12
Then, divide this by 24:
45.12/24
= 1.88
So, each canister had 1.88 pounds of sugar
HELP ME PLSSSSSS IM ALMOST DONE !!! Owen took a road trip to Utah. He traveled 615 miles. He put a total of 30 gallons of gas in his tank . What is his average MPG?
Answers
Answer:
Step-by-step explanation:
The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm
Answers
Answer:
C, Length = 39.4 cm; width = 7.9 cm
Step-by-step explanation:
The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)
The length is 4 times w plus 7.8.
So: 2w+2(4w+7.8)=94.6
= 2w+8w+15.6=94.6 (Factor out the brackets)
= 10w+15.6=94.6 (Combine like terms)
= 10w=79 (Subtract 15.6 from both sides)
= w=7.9 (Divide both by 10).
So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)
Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.
(x + a)(x+b)
Answers
Answer:
(x-4.72)(x+5.72)
Step-by-step explanation:
I2+ i - 72
is it i^2+i-72?
(x-4.72)(x+5.72)
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answers
Answer:
Car A
Step-by-step explanation:
All you have to do is find the rate of change
Distance Gallons
300 8
320 10
Car A
300 : 8
37.5 : 1
Car B
320: 10
32 : 1
37.5 > 32
So Car A gets the better gas mileage.
Hope this helped!
URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH
Answers
Answer:
Step-by-step explanation:tha answer is -120
Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)
Answers
Answer: m = 0.75
Step-by-step:
Please help me asap thank you!
Answers
Answer:
6 and 7
Step-by-step explanation:
--_45"gfsu. tc. jkk
Answer:
6x-7
Step-by-step explanation:
1/3x12x=4x
1/3x6x=2x
1/3x21=7
4x+2x=6x