Answer:
Y = 1/4x-1
X = 4y-1
Step-by-step explanation:
layout the equations :
x+1/y = 4 y+1/x = 1/4
solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter
x+1/y = 4
x+1 = 4y
x=4y-1
***
y+1/x = 1/4
y+1 = 1/4x
y = 1/4x-1
Let first consider the equations one by one and will be solving one by one ;
[tex]{:\implies \quad \sf x+\dfrac{1}{y}=4}[/tex]
Multiplying both sides by y will lead ;
[tex]{:\implies \quad \sf xy+1=4y}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}[/tex]
Now, consider the second equation which is ;
[tex]{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}[/tex]
Multiplying both sides by x will yield
[tex]{:\implies \quad \sf xy+1=\dfrac{x}{4}}[/tex]
[tex]{:\implies \quad \sf xy=\dfrac{x}{4}-1}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}[/tex]
As LHS of both equations (i) and (ii) are same, so equating both will yield;
[tex]{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}[/tex]
Multiplying both sides by 4 will yield
[tex]{:\implies \quad \sf 16y-4=x-4}[/tex]
[tex]{:\implies \quad \sf 16y=x}[/tex]
Dividing both sides by y will yield :
[tex]{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}[/tex]
Hence, the required answer is 16
i need more help on these questions please
Answer:
1,2,4,8,2
Step-by-step explanation:
For the first blank, it asks you to look at the change in y-value where the x-value changes from 0 to 1. As the y-value goes from 2 to 3 in this space, it is increasing by 1.
For the second blank, it asks you to look at the change in y-value where the x-value changes from 1 to 2. As the y-value goes from 3 to 5 in this space, it is increasing by 2.
For the third blank, it asks you to look at the change in y-value where the x-value changes from 2 to 3. As the y-value goes from 5 to 9 in this space, it is increasing by 4.
For the fourth blank, it asks you to look at the change in y-value where the x-value changes from 3 to 4. As the y-value goes from 9 to 17 in this space, it is increasing by 8.
For the fifth blank, it asks you to find the rate of change for the graph using the information we previously found. As you can see, the rate of change is 2 for this exponential function, as for every x-value increasing by 1, the change in y-value is multiplied by 2. In other words, if you look at the prior answers you can see that 1*2=2, 2*2=4, and 4*2=8, and all of these changes occur while the x-value increases consistently. Therefore, the grow factor is 2 for every interval of 1.
Hope this helps!
answer all 3 for brainliest
Answer:
πr + 2r
Step-by-step explanation:
Perimeter of Semicircle
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation:
1. d = 22mm
circumference = πr + d
= 22/7 × 11 + 22
= 56.57 mm
2. r = 4 inches
circumference = πr + d
= 22/7 × 4 + 8
= 20.57 Inches
3. d = 10 yards
circumference = πr+d
= 22/7 × 5 + 10
= 25.71 yardscan someone explain how to do circles and circumference
(geometry)
Answer:
Radius:
radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.
Diameter:
2 times the radius is the circle's diameter.
Circumference:
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).
Step-by-step explanation:
Hoped this helped
help please :DDDDDDDDD
Answer:
1/10
Step-by-step explanation:
Ok so 1/100= 10/100
................................................
Answer:
There are 0 lines here. Because the arrows (of lines) don't directly meet.
You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
Answer:
If the spinner has an even number of spaces,
1
8
. If the spinner has an odd number of spaces, more information is needed.
Explanation:
The answer depends on whether the spinner has an odd or even number of spaces.
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is
1
2
. This is also the probability of flipping heads on a coin. And so we have:
1
2
×
1
2
×
1
2
=
1
8
If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be
2
3
. However, if there are 11 spaces, the probability will be
6
11
.
Step-by-step explanation:
The probability of tossing tails and spinning yellow is 1/6.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Outcomes of tossing a coin= {T,H}
Outcomes of spinner={ R,Y,B}
Now, outcomes are in the event "Toss a tails, spin yellow"
= {TY}
probability of tossing tails and spinning yellow,
= 1/2*1/3
= 1/6
Learn more about probability here:
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help pls with this problem
Answer:
So, based on what I can see,
ON X FOR EACH
-from -7 to -3 (x) it is INCREASING
-from -3 to -1 it is INCREASING DRAMATICALLY
-from -1 to 1 it is DECREASING
-from 1 to 3 it is INCREASING
-from 3 to 5 it is DECREASING
-from 5 to 7 it is remaining CONSTANT.
hellllllllllllllllllllllp meeeeeeeeeeeeeeeeeeeee
Answer:
Number 1,2,3Low:10,200,8.5
High:55,260,9.3
Median:35,230,9.0
Lower Quantile:15,215,8.9
Upper Quantile:45,240,9.2
Interquantile Range:30,25,0.3
ANSWER QUICKLY!!!
Which graph shows all real numbers closer to 0 than they are to 4?
Answer:
Graph A
Step-by-step explanation:
It’s the real numbers closer 0 then they are at 4.
please help this is difficult
Answer:
iv answered this question for you already in the other one
Step-by-step explanation:
hope you have a good day
The graph of the equation y=x²-2x-8 is a parabola. What is the equation of the axis of symmetry?
Answer:
x=1
Step-by-step explanation:
y=x²-2x-8
First, we solve for the vertex
The equation for the vertex is -b/2a
Substitution:
-b/2a
=-(-2)/(2*1)
=2/2
=1
Therefore the equation for the line of symmetry is x=1
Hope this helps!
I'll give brainiest
-if u answer the question could you tell me how you got it tyy:)
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
Answer:184 cm^2
Step-by-step explanation:
10*6*2=120
6*2*2=24
2*10*2=40
120+40+24=184
Answer:
184 cm²
Step-by-step explanation:
You can find the surface area of this net by finding the area of each rectangle and adding them up.
The top rectangle has dimensions of 10 and 6. You multiply them to get 60. Add in the units and the area of the top rectangle is 60 cm².
The rectangle under the one we just found the area for has the dimensions 10 and 2. Find the area. A = 20 cm².
The two rectangles to the side of the second rectangle have the dimensions of 6 and 2. The area of one is 12 cm². This means the two rectangles added together are 24 cm².
The next rectangle has the same dimensions as the first rectangle we solved. Therefore, the area is the same, which is 60 cm².
The last rectangle has the same dimensions as the second rectangle we solved. Therefore, the area is the same, which is 20 cm².
We will add the numbers altogether to find the surface area.
60 + 20 + 24 + 60 + 20 = 80 + 24 + 80 = 104 + 80 = 184 cm²
Give the coordinates of each point.
please help thank you
Answer:
A = (1,6)
B = (4,6)
C = (9,6)
D = (11,6)
Since it is a strait line on six, all the points should have 6 as y. For the x's, just count how much it is away from the y-axis.
negative decimals on a number line 4
Answer:
I will say point b
Step-by-step explanation:
because -0.905 = -0.91 = -0.9 = b beacuse 0.905 isn't close to 1 but 0.95 is closer so i would say be
Find the next 4 terms of the following arithmetic sequence:
-7,-5.5,-4,-2.5
Answer:
-1, 0.5, 2, 3.5
Step-by-step explanation:
1.5 is added to the previous value for each value of the sequence. -2.5+1.5 is -1; -1+1.5 is 0.5, etc.
Answer:
-1, 0.5, 2, 3.5
Step-by-step explanation:
y=x+1.5
Hope this helps! :D
You are weighing 3 boulders. 1 weighs one-quarter of a ton, 1 weighs 8,112 ounces, and 1 weighs 505 pounds.
Which one is heaviest, and which is lightest?
Pls help me thank you
Answer:
140.4ft^2
Step-by-step explanation:
since all four sides are equilateral triangles, you only need to find one triangle and multiply by 4.
area of triangle = 0.5×base×height = 0.5×7.8ft×9ft =35.1ft^2
surface area of pyramid= 35.2ft^2 × 4 = 140.4ft^2
If on a scale drawing 5 inches represents 80 feet, then 3/4 inch would represent how many feet?
16 feet
8 feet
12 feet
4 feet
Answer:
12 feet
Step-by-step explanation:
80 / 5 = 16
1 inch = 16
16 / 4 = 4
4 * 3 = 12
Identify the scatter plots as linear association, nonlinear association, or no association.
(WONT LET ME ADD THE 6TH IMAGE)
Answer:
1. Non-linear positive
2.Linear positvie
3. No association
4.Linear negative
5.Non-linear negative.
Step-by-step explanation:
If this answer helped may I get brainlest.
7th grade math i mark as brainliest
Answer: 64mi^2
Step-by-step explanation:
(2*5) +(6*8)+((3*4)/2) = 64mi^2
Students are comparing the decimals 13.310, 13.28, and 13.301
Please put these numbers in order from least to greatest, enter the least value in answer spot 1.
________
________
________
Answer:
13.28
13.301
13.31
Step-by-step explanation:
Brainliest, and a lot of points, please help! :|
Answer:
doc tor
Step-by-step explanation:
Answer:
Doc tor
Step-by-step explanation:
Two syllable word
In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. Line w is a transversal to lines r and s. Use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to describe the relationship between the angles. Choose all of the situations that correctly describe the relationship between the angles. Note: Figure is not drawn to scale.
s || r ; s ⊥ t ; r ⊥ t
line w is a transversal
m∠7=72°
10 and 14
(MULTIPLE CHOICE)
supplementary angles
The angles do not share a special relationship.
vertical angles
right angles
equal angles
alternate exterior angles
same side interior angles
alternate interior angles
corresponding angles
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Part 7)
Part 8)
Part 9)
Part 10)
Step-by-step explanation:
Part 1) Find the measure of angle 7
we know that
----> by corresponding angles
we have
----> given
therefore
Part 2) Find the measure of angle 4
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
Part 3) Find the measure of angle 6
we know that
----> by alternate exterior angles
we have
therefore
Part 4) Find the measure of angle 1
we know that
----> by vertical angles
we have
therefore
Part 5) Find the measure of angle 16
we know that
----> by supplementary angles (form a linear pair)
we have
---> given
substitute
Part 6) Find the measure of angle 18
we know that
----> by alternate interior angles
we have
therefore
Part 7) Find the measure of angle 21
we know that
----> by alternate exterior angles
we have
therefore
Part 8) Find the measure of angle 10
step 1
Find the measure of angle 14
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
step 2
we know that
---> sum of interior angles of a triangle
we have
substitute
step 3
Find the measure of angle 10
we know that
----> by vertical angles
we have
therefore
Part 9) Find the measure of angle 11
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
Part 10) Find the measure of angle 12
see Part 8)
Step-by-step explanation:
PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.
Using the given information, which statement is true?
The two triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle with a measure 70°.
The two triangles are not similar because the interior angles are congruent but the side lengths are different.
The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.
I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I've labled all in red, hope this helps.
Answer:
I drew it for you.
Step-by-step explanation:
Pls give brainliest if I helped.
A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship
between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flour the bakery uses?
Answer:
3/1 or 3:1 when simplified
so first number is three times larger then second number
last week you walked your dog 12.405 miles. this week you walked your dog 15 miles. how many fewer miles did you walk last week than this week?
The dog walked 3 miles less in last week than this week.
What is approximation?An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
Given that, last week you walked your dog 12.405 miles. this week, you walked your dog 15 miles.
The dog walked in last week approx = 12 miles
The dog walked this week = 15 miles
The fewer miles did he walked = 15-12 = 3
Hence, the dog walked 3 miles less.
For more references on approximation, click;
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Can someone help me with this pls
Answer:
33.8
Step-by-step explanation:
1) Use Phythagoras theorem to get RS ↓
[tex]9.1 ^{2} + 6 ^{2} = 118.81 \\ \sqrt{118.81 } = 10.9[/tex]
2) RS = RQ
therefore, to get the perimeter, you'll have to total up the sides of the triangle ↓
[tex]rs + rq +qt + ts \\ = 10.9 + 10.9 + 6 + 6 \\ = 33.8[/tex]
Hope this helps =)
Answer:
33.8
**Brainliest would be appreciated**
Step-by-step explanation:
PLEASE HELP QUICK MATH
Answer:
66.7%
Step-by-step explanation:
30 POINTS HELP ME-
(7.12) A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?
(A) Number line graph with closed circle on 120 and shading to the right
(B) Number line graph with closed circle on 90 and shading to the right.
(C) Number line graph with closed circle on 150 and shading to the right
(D) Number line graph with closed circle on 30 and shading to the right.
Answer:
Number line graph with closed circle on 30 and shading to the right
because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.