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[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
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[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
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[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
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[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
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A standard marathon is about 26.2 miles.
How many feet is this equivalent to?
a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet
Answer:138,336
Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps
138,336 feet is equivalent to 26.2 miles.
Hence, Option C is correct.
Given that,
Length of standard marathon = 26.2 miles
We have to calculate the length of it into feet
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that
1 miles = 5280
Now to find the length of standard marathon in feet,
Multiply 5280 with 26.2.
Hence the length of marathon in feet,
= 5280 x 26.2
= 138,336 feet.
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Which of the following is equal to 5 1/3?
OA. 1/5
OB. 5 3
O C. √5.3
OD. √5
The correct answer is option B which is ( 5 / 3)
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The value will be calculated as:-
[tex]5\times \dfrac{1}{3}[/tex] = [tex]\dfrac{5}{3}[/tex]
1.67 = 1.67
Therefore the correct answer is option B which is ( 5 / 3)
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Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 ab b2)
Answer:
Step-by-step explanation:
Expanding the right-hand side,
[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]
Thus, the identity is true.
The number 1.41421356 is a rational or irrational number
Answer:
The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as 2 (1.41421356..., the square root of 2, an irrational algebraic number).
Mary has 20 flowers in 5 vases. How many flowers are there in every vase?
The vertical line test can be used to determine the given relation/graph is a
Question 1 of 20
The volume of a rectangular box is 5x(x+3)(2x - 1).
Height: 2x-1
Length: x + 3
Width: 5x
Which statement is true?
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
B. The volume is the sum of the length, x + 3, the width, 5x, and the
height, 2x - 1.
C. The volume is the product of the length, x + 3, and the width, 5x.
D. The volume does not depend on the height, 2x - 1.
Answer:
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
Step-by-step explanation:
Volume is defined as the product of the Length, Width, and Height,
V = L*W*H
The Length x Width is the Area of the Base
L*W = Area Base)
Therefore:
The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]
[Area of the Base]
[Area of the Base] = (5x)*(x+3) [(or 5x^2 + 15x)]
Volume = [Area of the Base]*H
Volume = [(5x)*(x+3)]*(2x-1)
The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
That looks a lot like the answer in A: "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."
Si un celular Cuesta 4500 y tiene un descuento de 76%cuamto vq a pagar por el teléfono
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
¿Cuánto cuesta un celular con descuento?
En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:
x = 4500 × (1 - 76/100)
x = 1080
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
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the terminal side of an angle, Theta, whose sine value is One-half
Theta has a reference angle of 30° and is in Quadrant I or II.
Sin(theta) = ½
Basic angle: 30
What is the reference angle?
The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.
Angles: 30,
180-30 = 150
Because sin is positive in quadrants 1 and 2.
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PLEASE HELP ASAP
The file is attached
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]
Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
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Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above
Answer:
a) 19 cm
Step-by-step explanation:
Area of a parallelogram: b • h
Given values:
A = 228 cm²b = ? cmh = 12 cmSubstitute these values into the formula:
⇒ A = b • h
⇒ 228 = b • 12 [multiply]
⇒ 228 = 12b [divide both sides by 12]
⇒ 228 ÷ 12 = 12b ÷ 12
⇒ 19 = b
Therefore, the base of the parallelogram is 19 cm.
which is an incorrect rounding for 53.864
A.54
B.53.87
C.53.9
D.50
The incorrect rounding for 53.864 is 53.87
How to approximation a decimal?The decimal to be approximated is as follows;
53.864
The first option rounded the decimal to 2 significant figures or a whole number.
The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.
The third option is approximated rightly to one decimal place.
The last option is rounded to the closes tens term.
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suppose that average total cost is $36 when q=24. what is the profit-maximizing price and resulting profit?
The profit-maximizing price and resulting profits are $36 and $0 respectively.
What is profit-maximizing price?The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.
Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:
when Q = 24 at average cost = $36,
Then,
profit-maximizing price = p = $36
Hence, the resulting profit is as follows;
resulting profit = 36 - 36 = $0
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The graph of which function has an axis of symmetry at x = 3?
f(x) = x2 + 3x + 1
On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1.75, 6.75), and goes through (1, 5).
f(x) = x2 – 3x – 3
On a coordinate plane, a parabola opens up. It goes through (negative 2, 7), has a vertex at (1.75, 5), and goes through (5, 7).
The graph of the function has an axis of symmetry at x = 3 will be D. f(x) = x² - 6x - 1. On a coordinate plane, a parabola opens up, it goes through (0, negative 1), has a vertex at (3, negative 10) and goes through (6, 0).
What is axis of symmetry?It should be noted that the axis of symettry is the line that divides an object into two equal halves.
Here, the graph of the function has an axis of symmetry at x = 3 is option D. On the coordinate plane, a parabola opens up, it goes through (0, negative 1), has a vertex at (3, negative 10) and goes through (6, 0).
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Answer: D. f(x) = x² - 6x - 1
Right on Edge 2023 :)
Graph the rational function
f(x) = 2x+3
———
X-4
Answer:
Step-by-step explanation:
This is confusion please help
Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is always true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 is our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so, [tex]\sqrt{125} = \sqrt{5*25}[/tex]
and
[tex]\sqrt{5*25}=\sqrt{5}*\sqrt{25}[/tex]
we can take out the square root of 25 (5):
[tex]=\sqrt{5}*5[/tex]
we write this as such: [tex]5\sqrt{5}[/tex]
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)
what is is i^30?
A. -i
B. -1
c. 1
D.i
[tex]i^{30}=(i^2)^{15}=(-1)^{15}=-1[/tex]
Instructions: Simplify the algebraic expression.
−12(32x−10y)
Answer:
-384x - 120y
Step-by-step explanation:
General Concepts and Formulas:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Steps:
1) Distribute
[tex]-12(32x-10y)[/tex]
We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.
So first, multiple -12 by 32 and add the variable 'x' when getting the product:
-12(-384x - 10y)
Now that we have one part, let's solve the other part.
We now must multiple -12 by -10, which gets us 120, now we must plug in:
(-384x - 120y)
(Remove parenthesis)
⇒ -384x - 120y
Which of these numbers are larger 1.201 or 1.2 recurring
Answer:
1.2
Step-by-step explanation:
because recurring means endless repeating.
the radis of the cylinder is (2/7) units and height of the cylinder is (8/11 units find the volume of the cylinder use =22/7
The volume of the cylinder is 64/3773 cubic units
Volume of a cylinderThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where
r is the radius
h is the height
Given the following parameters
r = 2/7units
h =8/11 units
Substitute
V = 22/7 * 2/7 * 2/7* 8/11
V = (2/7)³ * 8/11
V = 8/343 * 8/11
V = 64/3773 cubic units
Hence the volume of the cylinder is 4/3773 cubic units
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Anne is visiting a friend who lives 18.5 km away. She travels 10 km by
train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate
of 3.5 km per hour, for how long will Anne walk?
Answer:
Anne will walk for 2 hours.
Step-by-step explanation:
Distance formula = velocity × time
Total distance is 18.5 km
Anne travels by train = 10 km
and by bus = 1.5 km
let the distance covered by anne by walking be x
10 + 1.5 + x = 18.5
x = 18.5 - 10 - 1.5
x = 7km
Rate of walking is 3.5 km per hour
the time she will take while walking = 7 ÷ 3.5 = 2 hours.
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asapppppp please i need help i need to pass
Answer:
Option 2 which is r^6
Step-by-step explanation:
You need to apply the exponent rules.
Since the r's are the same, you can subtract the exponents.
r^9 - r^3 = r^6
Notice that the bases ("r") stayed the same.
Answer: Choice [B] -r^6 ✅
Step-by-step explanation:
Hii!
Do you need to know the answer to your question? No problem!
We can use the Exponents' Property of division to work out the answer to this particular problem. (:
This property says that if you divide two numbers with the same base, you subtract their exponents.
Do we have the same base here? Yea', sure! The same variable can't stand for two different numbers in the same expression.
Let's work out the answer!
[tex]\LARGE\boldsymbol{r^9/r^3=r^{9-3}=r^6}[/tex]
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
--
if someone ask you to write the tens in 1,567
would you write 67 or 6
if someone asks you to write the tens in
145,677
would you write 77 or 7
if someone asks you to write the hundredths in
146,888
would you write 688 or 8 or 888?? explain pls
Answer:
The tens in 1,567 is 60.
The tens in 145,577 is 70.
The hundreds in 146,888 is 800
Step-by-step explanation:
When looking for tens, you look for the value in the tens column.
For example, in 123, there is a 2 in the tens so it is 20.
which of the following sets are discrete?!? check all that apply.
which of the following sets are discrete?
Answer: C. {2,4,6,8}
Step-by-step explanation:
because constituting a separate entity : individually distinct several discrete sections. 2a : consisting of distinct or unconnected elements : noncontinuous. b : taking on or having a finite or countably infinite number of values discrete probabilities a discrete random variable.
On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2.
Use the figure to complete the statements.
Triangle 1 is the image of triangle 2 reflected over the
.
Triangle 2 is the image of triangle 3 reflected over the
.
Reflecting triangle 4 over the y-axis results in triangle
.
The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.
Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.
we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.
The complete statements are;
Triangle 1 is the image of triangle 2 reflected over the y-axis.
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
Answer:
2nd and third option
Step-by-step explanation:
The second option just combines the 6.5p and the 0.01p on the right side to obtain 6.49p. The third option just multiplies both sides by 100.
Please help!
What is the first step in solving the function below?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow C.\:factor \:\: out \:\: 2x [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 2 {x}^{3} - 18 {x}^{2} + 40x[/tex]
[tex]\qquad \tt \rightarrow \: 2x(x {}^{2} ) - 2x(9x) + 2x(20)[/tex]
[tex]\qquad \tt \rightarrow \: 2x( {x}^{2} - 9x + 20)[/tex]
Henceforth, The most efficient first step in factorising the given trinomial is to factor out 2x
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Solve for x: 4(x + 2) = 3(x-2)
(-4,3)
-5-4-3
24
5
432
-14
-2
-3-
A
(0,1)
1 2
(4,-1)
Which linear function is represented by the graph?
Of(x) = -2x + 1
Of(x)=x+1
O f(x) = x+1
Of(x)=2x+1
Answer:
f(x) = -2x+1
Step-by-step explanation:
See attached image
The equation of line will be;
⇒ f (x) = - 1/2x + x
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (- 4, 3) and (4, -1).
Now,
Since, The equation of line passes through the points (- 4, 3) and (4, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (3)) / (4 + 4)
m = - 4 / 8
m = - 1/2
Thus, The equation of line with slope - 1/2 is,
⇒ y - (3) = - 1/2 (x + 4)
⇒ y - 3 = - 1/2x - 2
⇒ y = - 1/2x + x
Therefore, The equation of line will be;
⇒ f (x) = - 1/2x + x
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this is really confusing please help
Step-by-step explanation:
you don't know the meaning of
[tex]y = {h}^{ - 1} (x)[/tex]
it means it is the inverse function to h(x).
the regular function assigns an y value to every x value.
the inverse function now turns this around and finds for a given y value the original x value.
so, the inverse function is easier understood, if we would write it
[tex]x = {h}^{ - 1} (y)[/tex]
but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).
just, the understanding of an inverse function is a I just described it.
that means for the points, simply x and y values trade places.
the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).
and the point (3, 2) turns into (2, 3).
so, move the 2 green dots to these coordinates.
