Graph the system of equations. {2x−y=4x−y=−2 Use the Line tool to graph the lines.
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Hear hear! For I have brought you the correct answer... (I took a "snip" of it so you can't see the entire graph but you can see the whole answer.)
By plotting the lines 2x - y = 4 and x - y = -2 using a graphing tool or on graph paper.
To graph these lines, you can start by rearranging them into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For 2x - y = 4:
-y = -2x + 4
y = 2x - 4
This equation has a slope of 2 and a y-intercept of -4.
For x - y = -2:
-y = -x - 2
y = x + 2
This equation has a slope of 1 and a y-intercept of 2.
Now, you can graph these lines on a coordinate plane by plotting the y-intercepts and using the slopes to find additional points.
Once you have the two lines graphed, their point of intersection represents the solution to the system of equations.
For similar question on slope-intercept form.
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Related Questions
the length of a rectangular garden is 4 m greater than the width. the area is 96 m to the second. find the dimensions of the garden.
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Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
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The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Final answer:
Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.
Explanation:
The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.
Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.
3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:
Answers
For this, you will need to draw your own diagram, but I think you can do this if I explain it. It should look like a triangle. Where the string is a vertex, and the kite is an upper vertex. The bottom is the distance. Look at the example. You can label the distances on it if you want to.
c= length of the string (75m)
b= height of the kite (62m)
a will equal the distance between Janet and the spot on the ground beneath the kite.
Now, we plug it into the Pythagorean theorem.
a^2+b^2= c^2
a^2+ 62^2= 75^2
Square the numbers.
a^2+3844= 5625
Subtract 3844 on both sides.
a^2= 1781
Find the square root.
√1781= 42.2 or 42.
I hope this helps!
~kaikers
*Credit for picture to Google Images*
How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?
A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.
B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.
C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.
D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.
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To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).
Answer: Here is your answer!! :)
Step-by-step explanation:
Eight minus the quotient of two and a number X
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8 - (2/x) should be your answer
hope this helps
Answer:
8 - 2/x
Step-by-step explanation:
All you have to do is read the problem and then you will get your answer so as you see it say 8 - ok you get that now when it say the the quotient of two that means it’s is 2 over x so like the 2/x
eight minus the quotient of two and a number x
Hoped I Helped
A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?
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Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem
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The interest is $106.30 and the proceeds is approximately $1093.70
Calculating simple interest.
The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.
The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]
[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]
S.I = $106.30
The proceeds for the loan = Loan amount - interest
Proceeds = $1200 - $106.30
Proceeds = $1093.70
Help with 2) show work
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2 14
3 21
5 35
Multiply week by 7 to get the amount in dollars
Divide the number of dollars by 7 to get the number of weeks.
Hope this helped☺☺
The first box is 2 because
D=7(2)
D= 14
The second box on the right is 21
D= 7(3)
D= 21
The last box is 35
D= 7(5)
D= 35
estimate the area of a circle with a radius of 27 meters
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Write an expression for the calculation double the number 18 and then add 14 divided in half
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Hope this helped :)
What is the value of x in simplest radical form ?
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Hypotenuse = [tex] \sqrt{a^{2}+b^{2}} [/tex]
Substitute 20 for A and 21 for B
[tex] \sqrt{20^{2}+21^{2}} [/tex]
Solve exponents
20^2 = 400
21^2 = 441
Hypotenuse = [tex] \sqrt{400 + 441} [/tex]
Add
400 + 441 = 841
Hypotenuse = [tex] \sqrt{841} [/tex]
Solve square root
[tex] \sqrt{841}[/tex] = 29
Hypotenuse = 29
An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?
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how you would write an expression that shows the cost to rent the bicycle for d days.
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d= number of days
r= rental cost
C= r * d
C= rd
Example:
If it cost $10 per day and you rented for 5 days, the total cost would be:
C= ($10)(5)
C= $50
Hope this helps! :)
the ratio of red circles to blue circles is 1:3 How many more red circles would need to be added to make the ratio of red to blue 3:1?
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Dominic is building a bench with a seat in the shape of a trapezoid. One base is 5 feet. The other base is 4 feet. The perpendicular distance between the bases is 2.5 feet. what is the area of the seat
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A = [(b1 + b2) x h] / 2
Where,
b1: Base 1
b2: Base 2
h: height, or distance between bases.
Substituting we have:
A = ((5 + 4) * (2.5)) / 2
A = 11.25 feet ^ 2
Answer:
the area of the seat is:
A = 11.25 feet ^ 2
The area of Dominic's trapezoid-shaped bench seat is 11.25 square feet. This is calculated using the trapezoid area formula with given bases of 5 and 4 feet and a height of 2.5 feet.
To find the area of the seat of Dominic's bench, which is in the shape of a trapezoid, we use the formula for the area of a trapezoid:
Area = 1/2 × (Base1 + Base2) × Height
In this case:
Base1 (b1) = 5 feetBase2 (b2) = 4 feetHeight (h) = 2.5 feetSubstitute these values into the formula:
Area = 1/2 × (5 + 4) × 2.5
Area = 1/2 × 9 × 2.5
Area = 4.5 × 2.5
Area = 11.25 square feet
Thus, the area of the trapezoid-shaped seat is 11.25 square feet.
Which of the following had a graph that is wider than the graph of y=3x^2+2?
A. Y=3x^2+3
B. Y=0.5x^2+1
C. Y=-4x^2-1
D. Y=4x^2+1
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Answer:
Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D
Help from 1-3 show work please!!
Answers
2. (n) + (n+1) + (n + 2)
(Not to sure of this one, xd)
3.
30x-40
What is 5 and 4/5 plus 1 and 1/8? Please help. Thx
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Factor to find the zeros of the function defined by the quadratic expression. 16x2 − 240x + 896 A) x = 7 or x = 8 B) x = 7 or x = −8 C) x = −7 or x = 8 D) x = −7 or x = −8
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16(x2 - 15x +56)
16{x2- 7x -8x +56x}
16{x(x-7) -8(x-7)}
16(x-8)(x-7)
x1=8/1= 8
x2= 7/1= 7
The answer would be A) x = 7 or x = 8
Answer:
The correct answer is A).
Step-by-step explanation:
He have the quadratic functions f(x) = 16x²-240x+896. The first step should be to check if the coefficients 240 and 896 are divisible by 16, which is true. Then, extracting 16 as common factor we have
f(x) = 16(x²-15x+56).
Now we can use directly the formula to find the roots of a quadratic equation, or a more efficient way in terms of calculations. We must find to numbers such that their product is +56 and their addition or subtraction is -15. It is not difficult to check that -7 and -8 fulfill those conditions. Hence,
f(x) = 16(x²-15x+56)= 16(x-7)(x-8).
Therefore, the solutions are x=8 and x=7.
how many 3s are in 1/8?
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Answer:
less than 1
Step-by-step explanation:
1/8 can be translated to 0.125, multiply 0.125 by 3 to get 0.375.
What I think your assignment told you to do is calculate how many times 1/8 goes into 3 though, simply put, you just need to multiply 8 by 3 to find this result, which is 24.
Laila said 4 equals -4. Is Laila correct? Use the number line and words to support your answer
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Laila is wrong due to the fact that its not possible to have 4 = -4 on a number line...
How do you do this obe
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a*2 + 6 = 16
Subtract 6 from both sides
a= 10
= 3.16
A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Please Help! Quickly!
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2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 [tex] \frac{1}{2} [/tex]
Volume of rectangular prism is [tex]11\frac{1}{4}[/tex] cm³
Volume based problem;Given that:
Length of prism = [tex]2\frac{1}{2}[/tex] meter = 5/4 meter
Width of prism = 4 meter
Height of prism = [tex]2\frac{1}{4}[/tex] meter = 9/4 meter
Find:
Volume of rectangular prism = lbh
Volume of rectangular prism = [5/4][4][9/4]
Volume of rectangular prism = 45 / 4
Volume of rectangular prism = [tex]11\frac{1}{4}[/tex] cm³
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Plot the following points on number line without measuring
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To plot points on a number line without measuring, it needs to follow various points mentioned below.
What is a number line?A number line is a visual representation of the real number system, where every point on the line corresponds to a unique real number.
Here,
To plot points on a number line without measuring, you can follow these steps:
Repeat steps 4 and 5 for all the points you want to plot on the number line.
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Please help I will reward brainly!! Please , will mark brainly please !
Answers
134/2=67
X=67
Answer:
Answer X = 67
Step-by-step explanation:
so what you do is
180 - 46 = 134
then you devide 134 by 2 which is
134/2 = 67
Answer X = 67
please give me Brainliest if this was helpful, or a thankyou
Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?
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Her yearly take-home pay, to the nearest whole yen is 4792161¥
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.
Since,
the Japanese government levies a 29.12% income tax on Miki’s tax bracket
Thus,
tax she pays = 6,760,950 *29.12%
tax she pays = 6,760,950 *29.12/100
tax she pays = 1,968,788.64¥
remaining income to take home = total income - tax
remaining income to take home = 6,760,950 - 1,968,788.64
remaining income to take home = 4792161.36¥
Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥
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What is the LCD (Least Common Denominator) of 4 1/6 5 4/7?
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25/6, 39/7
For the denominators (6, 7) the least common multiple (LCM) is 42.
Therefore, the least common denominator (LCD) is 42.
Rewriting the original as equivalent fractions with the LCD:
175/42, 234/42.
Here are the steps to follow:
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator
Then add (or subtract) the fractions, as we wish!
Hoped I helped!
The LCD of [tex]\( \frac{4}{6} \)[/tex] and [tex]\( \frac{5}{7} \)[/tex] is [tex]42[/tex]. This is because [tex]42[/tex] is the smallest number that both [tex]6[/tex] and [tex]7[/tex] divide into evenly, ensuring that [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] can be expressed with a common denominator of [tex]42.[/tex]
1. Convert [tex]\( 4 \frac{1}{6}[/tex] to an improper fraction:
[tex]\[ 4 \frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{24 + 1}{6} = \frac{25}{6} \][/tex]
2. Convert [tex]\( 5 \frac{4}{7} \)[/tex] to an improper fraction:
[tex]\[ 5 \frac{4}{7} = \frac{5 \times 7 + 4}{7} = \frac{35 + 4}{7} = \frac{39}{7} \][/tex]
Now, the fractions [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] need to have a common denominator to find the LCD.
Finding the Least Common Denominator (LCD)
To find the LCD, we need to determine the least common multiple (LCM) of the denominators [tex]6[/tex] and [tex]7[/tex]
The prime factorization of [tex]6[/tex] is [tex]\( 2 \times 3 \).[/tex]
The prime factorization of [tex]7[/tex] is [tex]\( 7 \).[/tex]
The LCM of [tex]6[/tex] and [tex]7[/tex] is [tex]\( 6 \times 7 = 42 \).[/tex]
Verify and Convert to Common Denominator:
Convert both fractions to have a denominator of [tex]42[/tex]
[tex]\[ \frac{25}{6} \times \frac{7}{7} = \frac{175}{42} \][/tex]
[tex]\[ \frac{39}{7} \times \frac{6}{6} = \frac{234}{42} \][/tex]
Now, [tex]\( \frac{25}{6} \) converts to \( \frac{175}{42} \) and \( \frac{39}{7} \) converts to \( \frac{234}{42} \).[/tex]
Which property is used in the problem below? 2(x+4)=2x+8 the associative property the commutative property the distributive property the additive identity property
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2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
Answer: I took a test, the answers C.
Step-by-step explanation:
When you buy a dozen bagels for $2.39 , you get an additional bagel free. What is your cost per bagel? (Round to the nearest cent.) Show your work.
Answers
If buying a dozen bagels for $2.39 also gets an additional bagel for free, the cost per bagel when rounded to the nearest cent is $0.18.
Explanation:The subject of your question is on the topic of unit cost. In this case, we will be calculating the cost per bagel when you buy a dozen bagels for $2.39 and get an additional bagel for free.
First, note that a dozen bagels means 12 bagels. But in this case, you get an extra bagel for free. So, you will have in total 13 bagels.Next, we divide the total cost by the total number of bagels to find the cost per bagel. That is, $2.39 divided by 13. When you do the calculation, you get approximately $0.184 per bagel.Since we need to round to the nearest cent, the final cost per bagel is $0.18 when rounded down.Learn more about Unit Cost here:https://brainly.com/question/29355214
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Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
Climbing atop the rock, Putri spots the cave. She then turns 58 degrees to the right of her original path and walks to the cave. After exploring the cave, she looks back at the big rock and wonders how to get home.
Assuming Putri is facing the big rock, how many degrees to her left should she turn before walking home?
Answers
The Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The total distance between cave to home AC = 3.72 km
The distance she walks AB = 2.60 km
The angle of turn = 58°
As we can see in the triangle ABC we can apply the sin law:
[tex]\rm \frac{AB}{sinx} = \frac{AC}{sin58\°}[/tex]
[tex]\rm \frac{2.6}{sinx} = \frac{3.72}{sin58\°}[/tex]
sinx = 0.5927
x = 36.35 ≈ 36°
Thus, the Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
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Putri should turn 122 degrees to her left when facing the big rock to head back to her home. This direction aligns her with the original path she took to reach the cave.
To determine the number of degrees to her left Putri should turn, we need to analyze her movements using the angles involved.
Putri starts by walking 2.60 kilometers in a straight line.She spots the cave after climbing the rock and turns 58 degrees to the right of her original path.This new path takes her directly to the cave, which is a straight-line distance of 3.72 kilometers from her home.When Putri is in the cave facing the large rock, to get back to her home, she needs to turn in the opposite direction of her initial right turn:
Initially, she turned 58 degrees to the right.Facing the rock, she must turn 180 degrees - 58 degrees = 122 degrees to her left to be aligned with her starting path towards home.Putri should turn 122 degrees to her left when facing the big rock to head back to her home.