describe the graphs of x + 3y = 6 and 2x + 6y = 12
Answers
Explanation:
x + 3y = 9
2x + 6y = 12
First you check if the two equations are compatible, that is
if they are parallel, they must not intersect.
Parallel means they have the same slope, given by dy/dx in general, and in the case of linear equations by the ratio of the y coefficient to that of x, that is 3 for the first equation, and 3 for the second. Since these two equations are parallel, they are multiple of each other. Now where these straight lines intersect the axis y = 0, that is the x-axis, is the constant term on the right hand side. Try it
Put y = 0 you get x = 9, for the first equation, and y = 0, x = 6 for the second equation, This is geometrically impossible, and therefore algebraically too. So this problem has no solution
Explanation:
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Related Questions
Evaluate X + y? by replacing x with - 0.5 and y with - 0.25
Answers
Answer:
-0.75Step-by-step explanation:
x = -0.5y = -0.25x + y = (-0.5) + (-0.25) = -0.5 - 0.25 = 0.75MARK ME AS BRAINLIST
pls help pls pls hii lol bye hahaha math fractions lol. videostar
Answers
x/5 + 20 = 20.1
5x + 20 = 20.1
Answers
Answer:
No solution
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
a) The value of x in equation (a) is x = 0.5.
b) The value of x in equation (b) is x = 0.02.
Let's solve the equations for the value of x:
a. X/5 + 20 = 20.1
Step 1: Subtract 20 from both sides to isolate the term with x:
X/5 = 20.1 - 20
Step 2: Simplify the right side:
X/5 = 0.1
Step 3: To solve for x, multiply both sides by 5:
X = 0.1 * 5
X = 0.5
So, the value of x in equation (a) is x = 0.5.
b. 5x + 20 = 20.1
Step 1: Subtract 20 from both sides to isolate the term with x:
5x = 20.1 - 20
Step 2: Simplify the right side:
5x = 0.1
Step 3: To solve for x, divide both sides by 5:
x = 0.1 / 5
x = 0.02
So, the value of x in equation (b) is x = 0.02.
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Complete question is:
Solve the given equations for the value of x:
a. X/5 + 20 = 20.1
b. 5x + 20 = 20.1
what fractional part is black?
Answers
Answer:
Step-by-step explanation:
A =5/8. B=2/4. C=4/10. D= 3/6. Hope this helped!
Davita can jog 2,000 feet in 4 mins. If she jogs at the same rate, how many feet can she jog in 8 mins?
2,000 ft.
3,000 ft.
4,000 ft.
Answers
if f(2)=4, then f-1(4)= what?
Answers
Answer:
12
Step-by-step explanation:
f = 2
2(2) =4
2-1(4) = 12
What is the complement of a 89° angle?
Answers
Answer:
the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
Solve for u
U/9= 4/6
Answers
the answer is 6............
Answer:
U=6
Step-by-step explanation:
U/9= 4/6
Both side multiply 9
U=4*9/6
U=36/6
U=6
What is the value of "2 + 3x" if x = ½? *
Answers
Answer:
3.5 or 3 1/2
Step-by-step explanation:
2 + (3*1/2) = 3.5, which is equal to 3 1/2.
Answer:
Mixed fraction: 3 1/2
Improper fraction: 7/2
Step-by-step explanation:
2+3/2
1 1/2+2= 3 1/2
Work out 27 ÷ 9 + 9
Work out 4 + 5 x 3
Work out -9 + -4
) Work out 9 - -5
Answers
Answer:
1. 27/9=3+9=12
2. 4+5x3=5x3=15+4=19
3. -9+-4=-13
4. 9--5=14
Can anyone help with expanding this?
Answers
Answer:
log(4) +3 log(x) +7 log(y)
Step-by-step explanation:
Hope it helps!
Answer:
4×6_7482&÷&&÷,geggeve
-9(x+2)=54 apply the distributive property and simplify
Answers
Answer:
x = -8
Step-by-step explanation:
-9 (x+2) = 54
-9x - 18 = 54
-9x = 72
x = -8
Hope this helps :)
Let me know if there are any mistakes!!
kayla spent 1/6 of her money on clothes. She had $250 remaining. What was the cost of the clothes Kayla bought?
Answers
Answer
$50
Step-by-step explanation:
A 30- foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21 feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
Answers
Rectangle RSTW has diagonals RT and SW that intersect at Z. If RZ=5x+8 and SW=11x−3, find the value of x.(1 point) x=13 x=19 x=116 x=11
Answers
Help please!
What is the volume of a rectangular prisim with the following dimensions?
Length= 4
Width= 3
Height= 10
Answers
Answer:
120
Step-by-step explanation:
so volume = l*w*h
= 120
if my answer helps please mark as brainliest.
Answer:
120³
Step-by-step explanation:
Hi!
This is very easy you just need to know the formula for finding the area of a rectangular prism. I attached something to help you with that but I also have an explanation.
The formula to find the area of a rectangular prism is L x W x H,
or in full words Length x Width x Height.
So now lets see what the problem has given us so we can plug things in.
Length = 4
Width = 3
Height = 10
Wow, it gives us all of it!
So now we just have to plug these numbers into the equation and solve.
So :
Length x Width x Height
4 x 3 x 10
Now we solve it :
4 x 3 = 12
And then we take 12 and multiply it by the last 10 in the equation.
12 x 10 = 120
And that is your answer, the volume of the rectangular prism!
Make sure to add a ³ after the 120 like so :
120³
This tiny 3 represents volume in math since the shape is 3D.
And if there are units of measurement involved like feet or inches make sure to put that in there as well like so :
120 feet³
I hope this helps!
If you have any questions or concerns please comment or feel free to message me! :)
250 decreased by 35%
Answers
Answer:250, percentage decreased by 35% (percent) of its value = 162.5
Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM
Answers
Answer: I think it’s cm = b, I think your image is very hard to see
Step-by-step explanation:
The given quadrilateral is a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The proof is as follows;
STATEMENTS REASONS
1) AM = CM and BM = DM Given
2) m ∠ AMB = m ∠ DMC and
m ∠ AMD = m ∠ BMC Definition of Vertical angles
3) Δ AMB ≅ Δ DMC and
Δ AMD ≅ Δ BMC By SAS congruency criterion
4) AB = CD and
BC = AD BY CPCTC
5) ABCD is a parallelogram If both pairs of opposite sides of a
quadrilateral are congruent then it is
a parallelogram.
Hence, proved, ABCD is a parallelogram.
For more references on parallelograms, click;
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50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined as follows:
SEE PICTURE
Answers
Step-by-step explanation:
Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).
For x + 6 if x < 2,
It becomes 2(x + 6) if x < 2.
We have 2x + 12 if x < 2.
For x² + 4x - 15 if 2 <= x <= 5,
It becomes 2(x² + 4x - 15) if 2 <= x <= 5.
We have 2x² + 8x - 30 if 2 <= x <= 5.
For 5 - x if 5 < x,
It becomes 2(5 - x) if 5 < x.
We have 10 - 2x is 5 < x.
The answer is the 1st option.
(3,2), (3,5)
Find the equation in slope-intercept form of the line passing through the points with the given coordinates
Answers
Step-by-step explanation:
The equation for the slope-intercept is y =3x-4
Reduce the ratio to its lowest form 12:30
Answers
Answer:
2/5
Step-by-step explanation:
Reduced fraction: 25. So, 12/30 simplified to lowest terms is 2/5.
Hope this helps!
Drag numbers to show which are closer to -3/5 and 4/5 on the number line.
Answers
Answer:
closest to -3/5 is -4/5. closest to 4/5 is 0.6
Step-by-step explanation:
Answer:
-4/5 in the first
.6 in the second
Step-by-step explanation:
it was correct
Tatiana's book has an area of 88 square inches. what are the length and wide measurements of the book
Answers
So you can make it in any way! The one I got is 44•4 because
A= l•w
A= 4•22
A= 88
So I guess it depends on the way you want it as long as it equals 88 as long as you length and width are multiplied to make the 88, if you host what I mean!
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?
Answers
Answer:
2 table spoons
Step-by-step explanation:
you have six teaspoons, and a ratio of 3:1, so if you use that, then times the three by two, and theres your six teaspoons, and then that means 2 table spoons!
Find c. Round to the nearest tenth. Laws of sines
Answers
9514 1404 393
Answer:
c ≈ 56.3 cm
Step-by-step explanation:
I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)
c ≈ (27 cm)(0.978/0.469)
c ≈ 56.3 cm
Identify the first 4 terms in the arithmetic sequence given by the explicit formula f(n) = 8+3(n-1)
Answers
8, 11, 14, 17
witch number is composite 5,2,11,9
Answers
Answer:
9 is the composite number.
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
what is surface area of
Answers
Answer:
27.199918 cm2
Step-by-step explanation:
Hope this helps
Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!
Answers
Answer:
obtuse angle
Step-by-step explanation:
as it is angle 1 is greater than 90
For parallelogram ABCD, find m<1
Answers
Answer:
b
Step-by-step explanation:
the answer is
the angel m<1= 36°
The measure of angle m<1= 36°.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
WE are given that angle CAD = 36 degree
So, we know that parallelogram has parallel opposite sides.
Thus according to alternate interior angle we can say that;
angle CAD = angle m<1 = 36
therefore, the measure of angle m<1= 36°
Learn more about parallelogram;
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