I believe the slope of the the line passing through the given points would be m = 1.
Hope this helps!
-5(x-5)=-5x+27
What’s the answer
Answer:
x = 26/5
Step-by-step explanation:
Distribute
5x - 25 : -5x + 27
Add 25 to both sides
5x = -5x +52
Add 5x to both sides
10x = 52
Divide by 10
x = 52/10
Simplify
x = 26/5
x(x+5)+2x(x-4)
can anyone awnser me this step by step :)
Answer: 3x^2−3x
Step-by-step explanation:
1.) Distribution
2.) Combine like Terms
3.) Combine like Terms.. again
4.) Common Factor
5.) GET UR SOLUTION!!
Find the exact area of thetriangle below.
I am going to draw a picture to ilustrate the solution
Now, we are going to use the trigonometric functions for the right triangle on the left to calculate h
[tex]\sin (30)\text{ = }\frac{h}{10\sqrt[]{3}}\Rightarrow\text{ h= sin(30)}\cdot\text{ 10}\sqrt[]{3\text{ }}=\frac{1}{2}\cdot10\sqrt[]{3}=5\sqrt[]{3}[/tex]Now we use the formula for the area of a triangle
[tex]A=\frac{b\cdot h}{2}=\text{ }\frac{20\cdot5\sqrt[]{3}}{2}=50\sqrt[]{3}[/tex]Find the distance between the points (−1,0) and (7,6).
The distance between the point (-1,0) and (7,6) is 10.
Distance between the points:
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by
d=√((x2 – x1)² + (y2 – y1)²).
Given,
(−1,0) and (7,6).
Here we need to find the distance between these points.
Apply the values on the formula , in order to solve it,
d = √(7 - (-1))² + (6 - 0)²
When we simplify it, then we get,
d = √(7 + 1)² + (6)²
d = √(8)² + 36
d = √64 + 36
d = √100
d = 10
Therefore, the distance is 10.
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Name the figure below in two different ways.
Answer:
VD; DV
Step-by-step explanation:
you can name the line in two ways
VD or DV
they are the two endpoints of the line
they are the same line
A vehicle can cover 80 kilometers in 2 ½ hours. How many kilometers can it cover in 6 hours?
is y=3x+y=4 y=-1/3x-2 parallel, perpendicular or neither
The equations of the lines that are perpendicular are y = 3x and y = - 1 / 3 x - 2
How to know if an equation of a line is parallel or perpendicular?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptParallel line have the same slopes.
The products of the slopes of an equation of lines must be equals to negative one for it to be perpendicular.
Therefore,
m₁ m₂ = -1
The equation are as follows:
y = 3x
y = 4
y = - 1 / 3 x - 2
Hence, using m₁ m₂ = -1
3 × - 1 / 3 = -1
Therefore, y = 3x and y = - 1 / 3 x - 2 are perpendicular.
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Solve the quadratic equation by completing
the square: ² - 12r + 31 = 51
Give the equation after completing the
square, but before taking the square root.
Your answer should look like: (ra)² = b
The equation is:
Enter an algebraic equation [more..]
The value of r is 6+ 2[tex]\sqrt{14}[/tex]
What is quadratic equation ?Algebraic equation in x that has a second degree. The quadratic equation in its conventional form is Ax2 + bx + c = 0 where a and b are the coefficients, x is the variable, and c is the constant term. To qualify as a quadratic equation, an equation must contain a non-zero term (a 0) for the coefficient of x2. In order to create a quadratic equation in standard form, the x2 term, the x term, and the constant term must be written first, second, and third, respectively. As opposed to fractions or decimals, integral values are typically used to express the numerical values of letters a, b, and c.
[tex]r^{2}-12r=51-31\\ r^{2}-12r-20=0\\ \frac{b^{2} }{4a} \\ =[/tex]
=36
= do ±36 in equation
=[tex]r^{2}-12r +36 -36 = 20\\ (r-6)^{2}=56[/tex]
=(r-6) = ±[tex]\sqrt{56}[/tex]
r = 6 ±[tex]\sqrt{56}[/tex]
r= 6+ 2[tex]\sqrt{14}[/tex]
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x+12% of x= 3.36 help
Answer:
x = 3
Step-by-step explanation:
x + .12x = 3.36 Combine like terms
1.12x = 3.36 Divide both sides of the equation by 1.12
x = 3
=======================================
Work Shown:
12% = 12/100 = 0.12
x + 12% of x = x + 0.12x = 1.12x = 3.36
1.12x = 3.36
x = 3.36/1.12
x = 3
---------------
Check:
12% of 3 = 0.12*3 = 0.36
x + 12% of x = 3 + 12% of 3 = 3 + 0.36 = 3.36
Or you could say 1.12x = 1.12*3 = 3.36
The answer is confirmed.
Parallelogram
How divide the figure?
Write an expression in factored form for the polynomial of least possible degree graphed below.
y(x)= (blank)
Show your work!
Explain your answers!
No incorrect answers!
No nonsense answers!
No spam answers!
Thanks!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The values of x for which curves cuts/touches the x - axis are the roots of that particular polynomial.
And that polynomial can be depicted in form :
[tex]\qquad \tt \rightarrow \: a(x - h1) (x - h2) (x - h3)........ (x - hn) = 0[/tex]
[ where, h1, h2, h3... hn represents roots of that polynomial, and " a " is the stretch of curve]
And by that, we can sort out the roots of given polynomial that are :
x = -3, -2, 1 and 2Since there are four roots, the least degree polynomial formed will have bi - quadratic polynomial.
And it will be represented as :
[tex]\qquad \tt \rightarrow \: y=a(x - ( - 3)) (x - ( - 2))(x - 1)(x - 2) [/tex]
[tex]\qquad \tt \rightarrow \:y=a (x + 3)(x + 2)(x - 2)(x - 1) [/tex]
And it can be further solved to get ~
[tex]\qquad \tt \rightarrow \: y=a(x + 3)( {x}^{2} - 4)(x - 1)[/tex]
[tex]\qquad \tt \rightarrow \:y= a( {x}^{2} - 4)( {x}^{2} + 2x - 3)[/tex]
[tex]\qquad \tt \rightarrow \: y=a( {x}^{4} + 2 {x}^{3} - 3 {x}^{2} - 4 {x }^{2} - 8x + 12)[/tex]
[tex]\qquad \tt \rightarrow \: y=a({x}^{4} + 2 {x}^{3} - 7{x }^{2} - 8x + 12)[/tex]
Now, it's time to evaluate the value of a, for that we can just use a point that satifys the curve ( i.e (0 , -2)
plug in the values :
[tex]\qquad\displaystyle \tt \rightarrow \: {-2= a(0⁴ +2(0)³-7(0)²-8(0) + 12 } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {-2= a(0 +0-0-0 + 12 } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {-2= a( 12 )} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {a= -2 ÷ 12 } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {a= -1/6} [/tex]
Therefore, the required equation is :
[tex]\qquad\displaystyle \tt \rightarrow \: {y= -1/6(x⁴ +2x³-7x²-8x+ 12 } [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
In the figure below, X lies between W and Y.
Find the location of X so that the ratio of WX to XY is 1 to 7
Since , X lies between W and Y, the location of X so that the ratio of WX to XY is 1 to 7 is 7.01.
What is the location position about?In regards to math's, position is seen as the looking through a given location and it is one that is pertaining to another kind of thing or the lines.
Note that from the question:
W = -31
Y= -7
So - 7 - (-31) = 38
Now:
WX: XY = 1 :7
XY = 7K
WZ = K
Then 7k + K = 38
K = 38/7
K = 5.43
So XY = 5.43 x 7
= 38.01
So position of X = 38.01 + (-31)
X = 7.01
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An international company has 28,600 employees in one country. If this represents 29.6% of the company's employees, how many employees does it have in total?
96622 is the total number of employees in the company.
Let x be the total number of employees in the company
we are given that, 28600 employees comprise 29.6% of the company's total employees
Thus,
x * 29.6% = 28600
x * 296/1000 = 28600
x * 296 = 28600 * 1000
x * 296 =28600000
x = 28600000/296
thus x = 96622 employees (approx)
What do you mean by "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 calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100." Hence the percentage refers to parts per hundred.
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The admission fee at an amusement park is $2.50 for children and $5.80 for adults. On a certain day, 380 people entered the park, and the admission fees collected totaled 1544 dollars. How many children and how many adults were admitted?
number of children equals
number of adults equals
Answer:
200 children.
180 adults.
Step-by-step explanation:
let x=Children and y=Adults
create 2 equations.
x+y = 380
2.50x+5.80y = 1544
solve for x in the first equation and plug into the second equation.
x = 380-y
2.50(380-y) +5.80y = 1544
distribute and simplify.
950 + 3.3y = 1544
simplify
3.3y = 594
y = 180
plug y back into first equation and you get that there were 200 children.
Choose the fraction that is equal to 0.81:
A.9/11
B.81/100
C.8/9
D.80/99
Answer: B
Step-by-step explanation:
Answer:
B. 81 / 100
Step-by-step explanation:
9 / 11 = 0.82
81 / 100 = 0.81
8 / 9 = 0.89
80 / 99 = 0.80
Hope this helps! :)
find the length of arc JM. use 3.14 for pi. round to nearest tenth
hello
to solve this problem, we need the formula of length of an arc
[tex]\begin{gathered} L_{\text{arc}}=\frac{\theta}{360}\times2\pi r \\ \end{gathered}[/tex]t find the value of angle JM, we should take into cognizance that the sum of angles in a circle is equal to 360 degree and angle on a straight line is equal to 180 degree
[tex]\begin{gathered} jk+jm+mk=360 \\ 180+jm+90=360 \\ 270+jm=360 \\ jm=360-270 \\ jm=90 \end{gathered}[/tex]now we know the value of angle jm, let's find the length of the radius
[tex]\begin{gathered} \text{radius}=\frac{\text{diameter}}{2} \\ \text{diameter}=16.4 \\ \text{radius(r)}=\frac{16.4}{2}=8.2\text{miles} \end{gathered}[/tex]with all the necessary informations or data required, we can now proceed to solve for the length of arc jm
[tex]\begin{gathered} L_{\text{arc}}=\frac{\theta}{360}\times2\pi r \\ L_{\text{arc}}=\frac{90}{360}\times2\times3.14\times8.2 \\ L=12.87\text{miles} \end{gathered}[/tex]from the calculations above, the length of the arc is equals to 12.87 miles
Answer:
12.9
Step-by-step explanation:
I need this answer in 1 minute I am giving all my points away
Answer:625/27
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{5^4}{3^3}}[/tex]
[tex]\mathsf{= \dfrac{5\times5\times5\times5}{3\times3\times3}}[/tex]
[tex]\mathsf{= \dfrac{25\times25}{9\times3}}[/tex]
[tex]\mathsf{= \dfrac{625}{27}}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{625}{27}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
The angle of elevation to the top of a building changes from 15° to 30° as an observer advances 140 feet toward the building. Find the height of the building, x, to the nearest foot.
pls explain
Answer:
70 ft
Step-by-step explanation:
To find the height of the building, we can use the trigonometric relationship between the angle of elevation, the distance from the object, and the height of the object.
In this case, we have a right triangle formed by the observer, the top of the building, and the base of the building. Therefore, we can use the tangent trigonometric ratio, since the height of the building is the opposite the angle of elevation, and the distance between the observer and the building is the side adjacent the angle.
[tex]\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}[/tex]
Let "x" be the height of the building.
Let "d" be the initial distance from the observer to the building.
The angle of elevation changes from 15° to 30° as the observer advances 140 feet toward the building.
(See the attachment for a visual representation).
Based on this information, we can set up the following equations:
[tex]\tan 15^{\circ}=\dfrac{x}{d}[/tex]
[tex]\tan 30^{\circ}=\dfrac{x}{d-140}[/tex]
Rearrange both equations to isolate d:
[tex]d=\dfrac{x}{\tan 15^{\circ}}[/tex]
[tex]d=\dfrac{x}{\tan 30^{\circ}}+140[/tex]
Solve this system of equations by the method of substitution.
[tex]\dfrac{x}{\tan 15^{\circ}}=\dfrac{x}{\tan 30^{\circ}}+140[/tex]
[tex]\dfrac{x}{\tan 15^{\circ}}-\dfrac{x}{\tan 30^{\circ}}=140[/tex]
[tex]\dfrac{x\tan 30^{\circ}-x \tan 15^{\circ}}{\tan 30^{\circ}\tan 15^{\circ}}=140[/tex]
[tex]\dfrac{x(\tan 30^{\circ}- \tan 15^{\circ})}{\tan 30^{\circ}\tan 15^{\circ}}=140[/tex]
[tex]x=\dfrac{140\tan 30^{\circ}\tan 15^{\circ}}{\tan 30^{\circ}- \tan 15^{\circ}}[/tex]
[tex]x=\dfrac{140\cdot \frac{\sqrt{3}}{3}(2-\sqrt{3})}{\frac{\sqrt{3}}{3}- (2-\sqrt{3})}[/tex]
[tex]x=\dfrac{\dfrac{140(2\sqrt{3}-3)}{3}}{\dfrac{4\sqrt{3}-6}{3}}[/tex]
[tex]x=\dfrac{140(2\sqrt{3}-3)}{2(2\sqrt{3}-3)}[/tex]
[tex]x=\dfrac{140}{2}[/tex]
[tex]x=70[/tex]
Therefore, the height of the building is exactly 70 feet.
HELP FOR 100pts
ONLY FOR TWACK
Answer:
3:2
Step-by-step explanation:
Convert the rectangular coordinates (√3, √3) to polar form. Letr>0 and 0 ≤ 0 < 2.
Answer: [tex](r,\theta) = \left(\sqrt{6}, \frac{\pi}{4}\right)[/tex]
In other words, [tex]r = \sqrt{6} \ \text{ and } \ \theta = \frac{\pi}{4}[/tex] where theta is in radians.
=====================================================
Work Shown:
[tex](\text{x},\text{y}) = (\sqrt{3},\sqrt{3})\\\\r = \sqrt{\text{x}^2+\text{y}^2}\\\\r = \sqrt{(\sqrt{3})^2+(\sqrt{3})^2}\\\\r = \sqrt{3+3}\\\\r = \sqrt{6}\\\\[/tex]
and,
[tex]\theta = \tan^{-1}\left(\frac{\text{y}}{\text{x}}\right)\\\\\theta = \tan^{-1}\left(\frac{\sqrt{3}}{\sqrt{3}}\right)\\\\\theta = \tan^{-1}\left(1\right)\\\\\theta = \frac{\pi}{4} \text{ radians}\\\\[/tex]
Use a calculator or the unit circle to arrive at the last step. Keep in mind that (√3, √3) is in the first quadrant where [tex]0 < \theta < \frac{\pi}{2}[/tex] since both x and y are positive.
What does it mean when the point is on the line on a graph?
Answer:
When data points are marked on the chart, all data points within a single dependent variable are connected with a line, making it very useful tool for analyzing changes over time for one or more variables.
Step-by-step explanation:
What is infinity? Does it ever end?
Answer:
It is forever, and it does not end.
Step-by-step explanation:
Infinity is the concept of no beginning and no end. It is the concept of all things and everything. So when you think of a deity ( Ex. God ) you think of them being infinite. They have no beginning or end, and have limitless possibilities. They live forever, and they can do anything. That is infinity in a nutshell.
Hope this helps.
A company produces brake pads for commercial airliners.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write out the given data for Team A
STEP 2: Find the mean
[tex]\begin{gathered} The\:arithemtic\:mean\:\left(average\right)\:is\:the\:sum\:of\:the\:values\:in\:the\:set\:divided\:by\:the\:number\:of\:elements\:in\:that\:set. \\ \mathrm{If\:our\:data\:set\:contains\:the\:values\:}a_1,\:\ldots \:,\:a_n\mathrm{\:\left(n\:elements\right)\:then\:the\:average}=\frac{1}{n}\sum _{i=1}^na_i\: \\ sum=224250 \\ n=6 \\ mean=\frac{224250}{6}=37375 \end{gathered}[/tex]Hence, the mean of the data for production team A is 37375
Determine the value of x. Use the Pythagorean Theorem. Show your work.
The value of x (hypotenuse) using the Pythagorean Theorem is 5 units.
What is Pythagorean Theorem?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a² + b², are equal to the c² which is the hypotenuse.So, the formula of the Pythagorean Theorem:
c² = a² + b²Where a (AC) = 4 and b (CB) = 3 as the given figure is symmetric and so line CB will be equal to 3.
Now,
c² = a² + b²c² = 4² + 3²c² = 16 + 9c² = 25c = √25c = 5Therefore, the value of x using the Pythagorean Theorem is 5 units.
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how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
When the graph of a relationship shows a line that passes through the origin, then it is proportional.
How to illustrate the information?If a connection's graph is a line that runs through its origin, it is proportional. If there isn't a line or ray that does this, the ratio isn't proportional. The equation for the proportionality constant is K = y/x.The equation that describes the slope of a straight line in relation to its origin is identical to this one.
When the graph of a proportional connection passes through the origin, any ratio in the proportional relationship can be found.
A relationship is proportional if its graph is a line or ray that passes through the origin. It is not proportional if the line or ray does not go through the origin.
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Claire left her home at 11 a.m. travelling along route 1 at 30 miles per hour. At 1 pm,Her counsin Valerie left home and started after her on the same road at 45 miles per hour.At what time did Valerie catch up with Claire ?
(Please give a step by step explanation and answer correctly)
#27 please show work THANK YOU!!
Parametric equation of the give cartesian equation x(y) = 3log(y)+y is
x(t) =3log(t)+t
y(t) = t
The given cartesian equation x(y) = 3log(y)+y
The cartesian equation is an equation of the curve in which variables are the Cartesian coordinates of a point on the curve or surface.
Here we have to convert the cartesian equation into parametric equation.
We can converting the cartesian equation into parametric equation by changing the independent variable in the cartesian equation to t.
The cartesian equation x(y) = 3log(y)+y
Here x is expressed as the function of y.
Define y = t
x(t) = 3log(t)+t
y(t) = t
Hence, the Parametric equation of the give cartesian equation x(y) = 3log(y)+y is
x(t) =3log(t)+t
y(t) = t
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Jim's parents paid for the first three years of his college costs. When
he was a college senior, he was approved for an unsubsidized loan in the
amount of $15,200 at a 4.29% interest rate for 10 years.
a. If he chooses to make interest-only payments until the monthly loan
payments are due, for how long will he be making interest only
payments?
Jim can make interest-only payments until after 1 year and 6 months.
What is the interest-only payment?The interest-only payment enables students to avoid interest capitalization during their school years and during the next six months after graduation.
The six-month period is called the grace period.
Non-capitalization of interest lowers the monthly repayments when payments become due after the grace period.
Amount of student loan = $15,200
Interest rate = 4.29%
Loan period = 10 years
Interest-only period = 1 year and 6 months
Amount of interest per month = $54.34 ($15,200 x 4.29% x 1/12)
Total interest during the interest-only period = $978.12 ($54.34 x 18)
Thus, the interest-only payments last for 18 months.
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Please help I need this answer immediately
Answer:
Step-by-step explanation:
−2x−y−2z−4x−2y+3z
Combine −2x and −4x to get −6x.
−6x−y−2z−2y+3z
Combine −y and −2y to get −3y.
−6x−3y−2z+3z
Combine −2z and 3z to get z.
−6x−3y+z
DIFFERENTIATE W.R.T. X
−6
Number 12 I don’t get it y’all know ?
Answer:
Approximately $18 each month.
Step-by-step explanation:
This is quite simple. So, we know that there are 12 months in a year. And we know that in a year, the store has given out discounts totaling up to $216. All we have to do is divide the total number by how many months there are in a year.
[tex]216\div12=18[/tex]
This means that the store gives out $18 of discounts per month.
(Also, you don't seem college level)