Si. es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l
solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in
Answer:
not clear enough
Step-by-step explanation:
A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
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Tell whether the rates are equivalent.
0.8 kilometer for every 2 minutes
0.2 kilometer for every 0.5 minute
Answer:
Yes.
Step-by-step explanation:
0.5 minutes is 1/4 of 2 minutes.
0.2 is also 1/4 of 0.8
you get what I'm sayin?
write the equation of the line from the given information. slope 1/2, through (4,-3)
Answer:
y+3 = 1/2 (x-4)
Step-by-step explanation:
We can write the equation in point slope form
y-y1 = m(x-x1)
The slope is m and the point is (x1,y1)
y - -3 = 1/2(x -4)
y+3 = 1/2 (x-4)
Help?..Please......:)
Answer:
The answer would be 0.05
so =D
Step-by-step explanation:
A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW
Answer:
IS LINEAR
Step-by-step explanation:
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Answer:
68ftStep-by-step explanation:
The formula of a perimeter of a rhombus:
P = 4a
a - length of side
We have a = 17ft
P = 4 · 17ft = 68ft
Зx — 6 = 3х – ?
-6
6
З
-3
0
Answer:
3x--666667666666666666666666666666
With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?
The probability of her NOT drawing a red card are very likely
PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
Answer:
x- intercept = 8 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
x - 4(0) = 8
x - 0 = x
x = 8 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
0 - 4y = 8
- 4y = 8 ( divide both sides by - 4 )
y = - 2 ← y- intercept
3/10y - 2/5 i need to find the coefficient and i dont know how
[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answer:
The answer is 12.6
Step-by-step explanation:
See the solution in the picture.
PLS HELP WILL MARK BRAINLIEST!
Answer:
81 x² - 4 y²
Answer C is correct.
Step-by-step explanation:
First, you have to find the area of the larger square.
Area of the larger square = (9x) × (9x)
= 81 x²
Then you have to find the area of the un shaded square,
Area of the unshaded square = (2y) × (2y)
= 4 y²
Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.
Area of the shaded region = Area of the larger square - Area of the unshaded square
= 81 x² - 4 y²
Hope this helps you.
Let me know if you have any other questions :-)
Give me some tips for the Shsat that is tomorrow.
Answer:
1. Sleep well
2. Eat a proper meal to increase your energy
3. Do the ones you are good at first. Skip the harder questions
4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.
5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.
6. Have faith in yourself. :)
Step-by-step explanation:
Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?
b. Can he buy 2 pair of pants and 4 shirts?
c. Show the solution graphically.
Please answer quickly!
A: I do not understand.
B: Yes
C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100
Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?
Answer:
Justine runs 3 miles a day and Kate runs 6 miles a day.
Step-by-step explanation:
x = number of miles ran in a day
x(7) + (x+3)(7) = 63
7x + 7x + 21 = 63
14x + 21 = 63
14x = 42
x = 3
3 + 3 = 6
Justine runs 3 miles a day and Kate runs 6 miles a day.
phân tích đa thức thành nhân tử 8x^2+16xy
You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
1.035 × $3,000= $3,105.After the second year; we have;
1.035 × $3,105= $3,213.675Ultimately; the amount to be paid after 2 years will be; $3,213.675.
When given the opportunity to change rent contracts;
A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.Read more;
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Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
15 points. PLZ HELP!!! Slope intercept Form. Will mark Brainliest!!1
Solve the slope for the table.
Answer:
5
Step-by-step explanation:
Change in Y / Change in X = Slope
5/1 = 5
Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?
Answer:
a1=130;an=an−1+10
Step-by-step explanation:
The answer is the third one.
She starts with 130
a1 = 130
She adds 10 every month.
So you take the number she had last month (represented by a_n-1) and adds 10.
Answer
a1 = 130
an = an_1 + 10
C
Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.
Step-by-step explanation:
R = x²/y
Substitute
R = (4.8×10⁵)²/2.8×10⁴
= 4.8²×10¹⁰/2.8×10⁴
= 23.04×10¹⁰/28000
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
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A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.
HELPPPPPPPPPPPPPPPPPPPPPPPP PLS
Answer:
formulasfrequency=speed/wavelength
f=250/50
f=50hz
Simplify the expression.
I NEED HELP PLEASE!!!
Answer:
-27/64p^3
Tell me if you want a step by step. :)
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answer:
(m-7) * 6
Step-by-step explanation:
you follow the statement from left to right. You see that there's a product so you write a product sign
*
then you know its the difference of m-7 on one side and 6 on the other getting
(m-7) * 6
“a fraction f multiplied by 13 equals 29.
Answer:
29/13
Step-by-step explanation:
The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.