A - y= 4x -6
Step-by-step explanation:Slope-intercept form helps describe the graph of a linear function.
Slope
Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.
Slope is rise over run. This means that slope equals the change in y divided by the change in x. We can find the slope of a graph by counting the changes in y and x between 2 points. For example, we can use the points (1,-2) and (2,2). The y-value increases by 4 and the x-value increases by 1. This means that the slope is 4/1, which can be simplified to 4. So, m = 4.
Y-intercept
The y-intercept is where the line intersects with the y-axis. Remember that the y-axis is the vertical axis. The y-intercept is also always when x = 0. The graph crosses the y-axis at (0,-6). This means that the y-intercept is -6. So, b = -6.
Writing the Equation
Now, all we need to do is plug the values into y = mx + b. The final equation is y = 4x - 6.
Solve for x.
1)
6
2)
3
3)
4
4)
5
The value of x for the chord AC intersecting another chord ED is equal to 4 which makes the option 3). 4 correct.
Chords intersecting in the interior of a circleWhen two chords are intersecting each other inside a circle, then the product of the segments of one of the chord is equal to the product of the segments of the other chord.
The chords AC and ED are interesting each other, so;
9(4x) = 8(4x + 2)
36x = 32x + 16
36x - 32x = 16 {collect like terms}
4x = 16
x = 16/4 {divide through by 4}
x = 4
Therefore, the value of x for the chord AC intersecting another chord ED is equal to 4
Know more about chord here:https://brainly.com/question/15298662
#SPJ1
y+2=5(x-2) in slope intercept form
m = 2 over five
adding words because I have to have at least 20
1/3 + (-7/4) = write your answer in an fraction in simplest form
Answer:
17/12
Step-by-step explanation:
i hope this is right
(-17/12) is the simplest form of fraction ( 1 / 3) + ( -7 / 4).
What is fraction?" A fraction is a part of whole which is equally divided."
According to the question,
( 1 / 3 ) + ( -7 / 4)
Convert (1/3) and (-7/4) into like fraction
Least common multiple of 3 and 4 is 12
Multiply numerator and denominator of fraction 1/3 by 4
(1 / 3) × (4 /4) = ( 4 / 12) _____(1)
Multiply numerator and denominator of fraction(- 7 /4) by 3
(-7 /4) × ( 3/3) = (-21 / 12) (2)
Add (1) and (2) we get
(4 / 12) + ( -21 /12)
= (4 - 21) / 12
= (-17 /12)
Hence, (-17/12) is the simplest form of fraction ( 1 / 3) + ( -7 / 4).
Learn more about fraction here
https://brainly.com/question/10354322
#SPJ2
What value is missing from the table?
lol i need an answer and pls explan it to me
The slope of AB is different from the slope of BC
==================================================
Reason:
Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.
If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.
Read the following poem:
This band was all my idea
I'm the one that found all the members
I'm the one that picks all the music
And I'm the superstar lead singer
So when our drummer said his cousin, Mae
Had a really awesome voice
Everyone else wanted to meet her
So I really was given no choice
We had her in for an audition
And I'll admit she sang like a bird
But of course I felt a bit threatened
And inside me jealousy stirred
Their plan was that she'd sing with me
But I said, no, she could do something else
But once again I was outvoted
So I kept my complaints to myself
And I grumbled inside on the bus ride
To our very first show with Mae
And I refused to wish her good luck
As I stomped like a brat to the stage
But when Mae joined me on our first song
Something happened with her and me
Our voices twined like flowering branches
In perfect harmony
Afterwards I was almost ashamed
That I had tried so hard to obstruct her
because adding some great to a really good thing
Can only make that thing better.
How many stanzas are in this poem?
A 7
B 9
C 6
D 8
Answer:
7, I believe. I have to fill in the extra character space, so I hope you have a nice day :)
find the indicated term of the arithmetic sequence with the given description.the first term is 3510, and the common difference is −15. which term of the sequence is 2850?
The 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.
To find the term of the arithmetic sequence that corresponds to the value 2850, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 3510 and the common difference is -15. Let's substitute these values into the formula and solve for n:
2850 = 3510 + (n - 1) * (-15)
Now we can simplify the equation:
2850 = 3510 - 15n + 15
Subtract 3510 from both sides:
-660 = -15n
To solve for n, divide both sides of the equation by -15:
n = -660 / -15
Simplifying further:
n = 44
Therefore, the 44th term of the arithmetic sequence with a first term of 3510 and a common difference of -15 is 2850.
Know more about common difference here,
https://brainly.com/question/28584885
#SPJ11
help me please!!!!!!!
Answer:
Step-by-step explanation:
B
Answer:
no just guess
Step-by-step explanation:
Which equation can be used for x in the following diagram?
Answer:
x+ 4x-85 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
x+ 4x-85 = 90
Combine like terms
5x - 85 = 90
Add 85 to each side
5x = 175
Divide by 5
5x/5 =175/5
x =35
Answer:
x (4-85) = -81x
Step-by-step explanation:
Equation: x (4-85)
Answer: x (4-85)
1: Find the missing side
2: add the other numbers
Hope this helps.
hello please help i’ll give brainliest
Answer:
its C
Step-by-step explanation:
srry if im wrong:(
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
To learn more about velocity here:
brainly.com/question/18084516#
#SPJ11
Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?
Answer: The perimeter of the large rectangle measured 75 feet.
Step-by-step explanation:
For two similar rectangles,
\(\dfrac{\text{Perimeter of image }}{\text{Perimeter of pre-image }}=\dfrac{3}{2}\)
The perimeter of the small rectangle is 50 feet.
Given ratio between two similar rectangles: 3:2
So,
\(\dfrac{\text{perimeter of large rectangle}}{\text{perimeter of small rectangle}}=\dfrac{3}{2}\\\\\Rightarrow\ \dfrac{\text{perimeter of large rectangle}}{50}=\dfrac{3}{2}\\\\\Rightarrow\ \text{Perimeter of large rectangle} =\dfrac{3}{2}\times50\\\\\Rightarrow\ \text{Perimeter of large rectangle} =75\)
Hence, the perimeter of the large rectangle measured 75 feet.
The perimeter of a rectangle is the sum of the dimension of the rectangle
The perimeter of the larger rectangle is 75 feetThe ratio of the side length is given as:
\(Ratio = 3 : 2\)
Represent the perimeters of both rectangles with
P1 and P2.
So, we have:
\(P1 : P2 = 3 : 2\)
The smaller rectangle has a perimeter of 50 feet.
So, we have:
\(P1 : 50 = 3 : 2\)
Express as fraction
\(\frac{P1 }{ 50 }= \frac 3 2\)
Multiply both sides by 50
\(P1= \frac 3 2 \times 50\)
\(P1= 75\)
Hence, the perimeter of the larger rectangle is 75 feet
Read more about perimeters at:
https://brainly.com/question/24571594
write the first six cube if natural number
Answer:
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
Step-by-step explanation:
Answer:
The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
Step-by-step explanation:
Natural Numbers are known as 1, 2, 3, 4, ..., ∞
Now,
For Cube of first six natural numbers
1³ = 1
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216
Thus, The cube of first six natural numbers are
1, 8, 27, 65, 125, 216
-TheUnknownScientist
Could you help me find X,
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
\(\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x\)
E) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional? f) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Answer:
Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.
En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.
a) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?
Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.
Entonces, si un hombre gana una cantidad X, tendremos:
X = 100%
y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:
X = 100%
1300 francos = 68%
Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:
X/(1300 francos) = (100%/68%)
Ahora podemos resolver esto para X:
X = (100%/68%)*(1300 francos) = 1911.76 francos.
Un hombre en la misma posición ganaría 1911.76 francos.
b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.
El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:
1102 euros = 100%
Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:
X = 67%
Así, tenemos dos ecuaciones:
X = 67%
1102 euros = 100%
Tomando el cociente, obtenemos:
X/(1102 euros) = (67%/100%)
Resolviendo para X obtenemos:
X = (67%/100%)*(1102 euros) = 738.34 euros
Una mujer en la misma posición ganaría 738.34 euros.
how to multiply fractions with the same denominator
when multiplying fractions , multiply across the numerator and denominator
you dont need common denominators
example
\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)
Hope this helps : -)
- Jeron
Cuál es la tasa de interés trimestral que genera un préstamo cuyo valor futuro corresponde a $7.566.000 y su valor presente fue de $4.800.000 durante 3 años
Solve for the missing variable.
1.)
80/120 =2/x
Answer:
x = 3
Step-by-step explanation:
\(\frac{80}{120} = \frac{2}{x}\)
Simplify, divide the numerator and denominator by the same number
\(\frac{80}{120}\\\)
÷ 40
\(\frac{2}{3}\)
\(\frac{2}{3} = \frac{2}{x}\)
Cross products
\(2x = 2 *3\\2x = 6\\/2 /2\\\\x = 3\)
what is the square root of -6.76
Answer:
2.6i
Step-by-step explanation:
undo the - by making it: √-6.76= √6.76 x √-1
then, √-1 would be converted to imaginary number -> i
now rewrite it as √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.
Then just write your final answer as 2.6i
Answer:
There is no answer because you cannot square root a negative.
Step-by-step explanation:
For example, if you want to square root 4 the answer is 2. If you want to square root -4 the answer is not 2 or -2 because both the answers make +4.
Calculate the simple interest due on a 67-day loan of $2600 if
the interest rate is 5%. (Round your answer to the nearest
cent.)
The simple interest due on a 67-day loan of $2600 at a rate of 5% is $23.86.
To calculate this, we can use the following formula: I = Prt, where I is the interest due, P is the principal (or initial loan amount), r is the interest rate, and t is the time in years. We can calculate the time in years by taking the number of days (67) divided by the number of days in a year (365). Therefore, t = 0.1831. We can now plug this into our formula to get I = 2600 * 0.05 * 0.1831, which simplifies to I = 21.50. Therefore, the simple interest due is $21.50.
For more information about simple interest, visit:
https://brainly.com/question/25793394
#SPJ11
Section 1 Topic 6 Radical Expressions and Expressions with Radical Exponents
Directions: Match the column on the left with the possible answers from the two columns on
the right. Some questions will have more than one answer and some possible answers will
not be used.
use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
Let's consider that s be the length of a side of the regular pentagon.
The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm
Also,
we have the formula for the area of a regular pentagon as:
\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)
where a is the length of a side of the pentagon.
In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.
Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)
Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.
The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.
In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.
However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.
To know more about notation visit:
https://brainly.com/question/29132451
#SPJ11
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the quotient.
800 ÷ 20 =
What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
Learn more about Degree of Financial Leverage :
https://brainly.com/question/23841033
#SPJ4
what is x: |3x-1| = 4
Step-by-step explanation:
here's the answer to your question
If a fish tank needs to be filled 36 liters but it has 45 instead what is the over capacity percent
The Answer To This Question Is:
80%
Answer:
80 percent I did that already
Mr. Picasso would like to create a small rectangular vegetable garden adjacent to his house. He has 24 ft. of fencing to put around three sides of the garden. Explain why 24 – 2x is an appropriate expression for the length of the garden in feet given that the width of the garden is x ft.
The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.
To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.
Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.
Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.
Learn more about Rectangular area click here :brainly.com/question/29298005
#SPJ11
what is the answer? 5 ÷ 3/4 =
Answer:
20/3
Step-by-step explanation:
To figure this out, you would multiply 5 by the reciprocal of the fraction. The reciprocal is the fraction flipped around. 3/4 flipped around would be 4/3.
5*4/3=20/3
Hope this helps!! Have a nice day c:
polynomial F(x) is divided by x and (x+1), we get remainder 0 and 1 respectively. Find the value of R(2) if R(x) is the remainder when F(x) is divided by x(x +1).
Answer:
Hello,
R(2)=-2
Step-by-step explanation:
\(F(x)=q_1(x)*x+0 \ , \ F(0)=0 \\F(x)=q_2(x)*(x+1)+1\ , \ F(-1)=1\\\\F(x)=q_3*x*(x+1)+(a*x+b)\\\\if\ x=0\ then\ F(0)=0=a*0+b \Longrightarrow\ b=0\\\\if\ x=-1\ then\ F(-1)=1=a*(-1)+b \Longrightarrow\ a=-1\\\\\\R(x)=ax+b=-x\\R(2)=-2\\\)
please help i will give brainliest :) question is in picture
Answer:
C. 43.96
Step-by-step explanation:
2 × 3.14 × 7
Equation is 2×pi×radius
Answer: The answer is B
Step-by-step explanation:
The formula is 2πr. 2 * 3.14 * 7 6.28 *7 = 43.96