Answer: y - 17 = -2(x-7)
Step-by-step explanation:
point-slope form: y - y1 = m(x - x1)
m = y2-y1/x2-x1
= 9+17/-6-7
= 26/-13
= -2
y1 = -17
x1 = 7
y - 17 = -2(x-7)
The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y = -2x - 3
What is the general equation of a straight line?The general equation of a straight line is-
y = mx + c
where, m is the gradient and is given by y₂ - y₁/x₂ - x₁
and, c is the value where the line cuts y-axis.
Now it is given that the line passes through points (−6,9) and (7,−17)
Therefore we have,
x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17
So, the slope m of the line is given as,
m = (y₂ - y₁)/(x₂ - x₁)
Put the values,
m = (-17 - 9)/(7 - (-6))
m = -26/7+6
m = -26/13
m = -2
Thus, the equation parallel to the line will be given as:
y - y₁ = m(x - x₁)
y - 9 = -2{x - (-6)}
y - 9 = -2(x + 6)
y = -2x - 12 + 9
y = -2x - 3
Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y = -2x - 3
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Find the following integrals
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
[tex] \sf x - \frac{4}{x} + C[/tex]
Step-by-step explanation:
[tex] \sf \longmapsto \int \frac{ {x}^{2} + 4 }{ {x}^{2} }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^{2} }{ {x}^{2} } dx + \int \frac{4}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^{ -2 + 1}}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - \frac{4}{x} + C} [/tex]
find the equivalent expression of 2 to the power of 4
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
2 raise to the power of 4, which means 2*2*2*2
NEED HELP ASAP, PLEASE ANSWER THIS
Answer:
Given units of measures of volume:
mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 litersUnits of measure:
mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m1. Water in a rectangular pool → m³
2. an ice cube before it melts → cm³
3. a dice → mm³
4. a blackboard eraser → cm³
5. oil in a rectangular box → dm³
To convert liters to cubic meters, divide by 1000:
⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³
To convert liters to cubic centimeters, multiply by 1000:
⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³
Help ASAP
Ben is making a chart in which he is listing the masses of different planetary bodies. He plans to write the masses in scientific notation. Convert the values in scientific notation to standard notation.
The mass of Ganymede is 1.48E23, or , kilograms.
The mass of Pandora is 2.20E17, or , kilograms.
Step-by-step explanation:
I think 2.20e23 because it said bodies not body
Vill all three students complete a sign at the same time? Explain your
no
has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a
ale. He wants to make bags that have all three cookie flavors and the same
er of each flavor per bag.
ow many bags can he make without having any cookies left over?
which expression is equivalent to 3 x5y ?
Answer:
2nd answer is correct
Step-by-step explanation:
We know that,
[tex]\sqrt{x} =x^{\frac{1}{2} }[/tex]
[tex]\sqrt[3]{x}=x^{\frac{1}{3} }[/tex]
By following the above, we can solve the answer to the question.
Let us solve this now
⇒ [tex]\sqrt[3]{x^5y}[/tex]
⇒ [tex]x^\frac{1}{3}^*^5y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{1*5}{3}y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of BF¯¯¯¯¯ and DH¯¯¯¯¯¯.
Deductive Reasoning is the practice of arriving at a mathematical conclusion by simply analyzing the facts using the knowledge of the related concepts.
What is the proof that ∠A ≅ ∠E?Looing at ΔOAB and ΔOEF
It is clear that
OB = OF (O is the midpoint)
∠OBA = ∠OFE = 90°
Therefore
∠AOB = ∠EOF (Vertically Opposite Angles)
⇒ ΔOAB ≅ ΔOEF and
∠ A ≅ ∠E.
QED
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Need help please !!!
Answer:
2.4 is the answer I think
Step-by-step explanation:
I got you I think
Answer:
1) h= 19.4
2) p=1/2
3) k= 75
4) k= 75
5) m=18
6) t= -11
Step-by-step explanation:
what is the name of the algebraic expression
Answer:
There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.
Which graph shows the line y-4 = 3(x + 1)?
-5
5
D
O A. Graph A
B. Graph B
O C. Graph C
D. Graph D
5
B/A//C
Answer:
The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7
Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by showing opposite sides are parallel. What formula would you use?
Answer: Slope formula
Step-by-step explanation:
You could show the slopes of the opposite sides are equal, and thus they are parallel.
How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Answer:
2
Step-by-step explanation:
4 and 8
Answer:
digits used once: 12repeated digits: 128Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
the ones digit is an even multiple of 2, and the tens digit is eventhe ones digit is an odd multiple of 2, and the tens digit is odd.We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
digits used onceIf the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
repeated digitsEach of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
The dual bar chart shows the hair colour of boys and girls in a year group.
What fraction of the red haired students are boys?
Give your answer in its simplest form
The fraction of the red haired students are boys will be 2 / 5.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The dual bar chart shows the hair colour of boys and girls in a year group.
The total number of the boys and girl will be
Total = 6 + 9
Total = 15
Then the fraction of the red haired students are boys will be
⇒ 6 / 15
⇒ 2 / 5
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The mean number of stereos sold per day at a store for 6 days was 13. Which statement must be true about the stereo sales at the store?
O The store sold 19 stereos for the 6 days
O The store sold 78 stereos for the 6 days
O The store sold 13 stereos on at least half of the 6 days
O The store sold 13 stereos on at least two of the days
Answer:
well I don't know the options, but I do know that 105 would have been sold in a week.
Step-by-step explanation:
james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function sx equals 102. he is able to do work around the neighborhood to earn extra money that the function would be a x equals eight times x +2 where x is measured in hours. explain how james can we create a function to combine the two and describe any simplification that can be done
In the scenario above, James can we create a function to combine the two by f ( x ) = 8 x + 118.
What is the simplification about?In the question above, to be able to create a function, we have to show that;
s ( x ) = 102
a ( x ) = 8 ( x + 2 )
So, a function that combines the two will be:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
Therefore f ( x ) = 8 x + 118
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Complete the equivalent equation for –7x – 60 = x2 + 10x.
(x +
)(x +
) = 0
By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.
How to determine the factor form of the given equation
In this question we have a quadratic function which must be factored by algebraic handling:
- 7 · x - 60 = x² + 10 · x
x² + 10 · x + 7 · x + 60 = 0 Compatibility with addition/Modulative property
x² + 17 · x + 60 = 0 Definition of addition
(x + 5) · (x + 12) = 0 x² + (- a - b) · x + a · b = 0/Result
By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.
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David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer what was the total price David pay for
Answer:
$878.80
Step-by-step explanation
Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)
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Describe the graph of y= 3x+14/x-2. Define the horizontal and vertical asymptotes and several points on either side.
The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have a graph of a hyperbola:
[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]
The above equation represents the hyperbola.
We can write the above equation as:
[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]
The vertical asymptotes: x = 2
The horizontal asymptotes: y = 3
Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
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3D TRIGONOMETRY PLS HELP ME HELP
Based on the diagram, which expresses all possible
lengths of segment AB?
OAB = 25
27
OAB = 85
OAB< 27 or AB > 81
MEDA
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Properties of a triangleFrom the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
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solve the proportion
Answer:
K=4.44444444444
Step-by-step explanation:
k/6=15/18.
Cross multiply.
k*18=18k.
6*15=80.
18k=80.
18k/18=80/18.
k=4.44444444444
wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden
Answer:
6x4 feet
Step-by-step explanation:
6 x 4 = 24
6 - 3 = 3
4 - 1 = 3
I need help, please. I don’t understand
Answer:
60%
Step-by-step explanation:
So, this question is saying the bowls can be between a diameter of 6.95 and 7.05
Box 1, 3 and 5 are in this margin.
Box 2 and 4 are not.
3/5 boxes can be included.
3/5 is 6/10
6/10 is 60%
Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)
Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
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Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
please help with this thank you!
Answer:
3
Step-by-step explanation:
18-15=3
Answer:
first option, 3
Step-by-step explanation:
The interquartile range is the difference between Q3 and Q1.
Q1 is the lower bound of the box = 15
Q3 is the upper bound of the box = 18
Q3 - Q1
= 18 - 15
= 3
2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?
Answer:
$156.96
Step-by-step explanation:
10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)
A TV costs R14 000 you made a 15% deposit and pay the remainder over a 3 year period at 10% interested p.a
Calculate the deposit amount? and Determine the remainder to be paid over the 3 years
Answer:
deposited rs. 2100 of a tv and rs. 3570 paid remainder after 3 years
The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w
Answer:
To hard sorry
Step-by-step explanation:
identify the slope and y intercept of the function y = - 8x + 1
Answer:
Slope: -8
Y intercept: (0,1)
Step-by-step explanation:
^^^^
Answer:
[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]
[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]
Step-by-step explanation:
Hi student, let me help you out.
................................................................................................................
First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].
In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".
Looking back at our equation, let's work out the slope & y intercept.
Let's put these two equations together:
[tex]\mathtt{y=mx+b}[/tex]
[tex]\mathtt{y=-8x+1}[/tex]
See what I mean? The y intercept of this equation is 1 and the slope is -8.
Hope this helped you out! Ask in comments if any queries arise.
Best wishes from "reflect"!
[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
[tex]\underline{\rule{300}{6}}[/tex]