write y=x²+6x-1 in terms of r, given x/r=-3
Given:
[tex]y=x^2+6x-1[/tex]
[tex]\dfrac{x}{r}=-3[/tex]
To find:
The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].
Solution:
Given that,
[tex]\dfrac{x}{r}=-3[/tex]
[tex]x=-3r[/tex]
We have,
[tex]y=x^2+6x-1[/tex]
Substitute x=-3r in the above equation.
[tex]y=(-3r)^2+6(-3r)-1[/tex]
[tex]y=9r^2-18r-1[/tex]
Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].
Construction of segments angles and bisectors
What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?
Answer:
What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.
Step-by-step explanation:
Answer:
1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.
2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.
3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.
4. Place the point of the compass on point M and open it to width MN.
5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.
6. Use the straightedge to draw XZ.
Step-by-step explanation:
Verified correct with test results!!
5x + y = -5
I need to graph this pls help
write the standard form of the equation that is perpendicular to y = 5x + 4 and goes through point (3, -2).
Answer:
y=-1/5x-7/5
Step-by-step explanation:
y=5x+4
(y+2)=-1/5(x-3)
y+2=-1/5x+3/5
y+10/5=-1/5x+3/5
y=-1/5x-7/5
Answer: x+5y= -7
Step-by-step explanation:
Which expression is equivalent to -4 -( -9)
Answer:
-13
Step-by-step explanation:-9 turns to 9 then -4-9=13
BRAINLIEST!!!!!! easy question
Answer:
Draw a line that intersects the first line using a straightedge
The first answer
Answer:
second option: Draw a ray that intersects the frist line at a right angle using a straightedge
Step-by-step explanation:
Can someone tell me the answer plz I’ll give you brainlist and points only if you get it right
Answer:
Should be E.
Step-by-step explanation:
if u add and if u subtract 4 from both sides u get 1x=19,divide frmo both sides and x=19
Suppose -1 1 PLEASE PLEASE PLEASE PLEASE
What's the question?
I don't quite understand what you're asking.
What’s the slope for this chart?
Answer:
3
Step-by-step explanation:
The slope of the chart, (the change of y over x) is 3
Using the graph, determine the coordinates of the roots of the parabola.
I really don't understand how to do this because I have never been taught this before. Could someone help me out?
Answer: (-6,0) and (-8,0)
!!!!!!Also it's fixed now so ignore my comment about this being wrong!!!!!!
Step-by-step explanation:
To find roots you're basically looking for the points on the graph where they touch the x axis. Those are your roots. You can also plug 0 and -0 in for x and find the coordinates that way with the equation.
Answer:
Two points.
(-8, 0) and (-6, 0)
Step-by-step explanation:
The roots of a graph are another word for the zeros of a graph. In other words, the roots or zeros of a graph are whenever the graph touches or crosses the x-axis. Another way to think about roots are that the roots of a graph are simply its x-intercepts.
From the graph, we can see that it does this twice: once at [tex]x=-8[/tex] and again at [tex]x=-6[/tex]. At both of these points, the graph crosses the x-axis.
Therefore, we will have two roots in this case: one at (-8, 0) and another one at (-6, 0).
So, our answer is two points, being: (-8, 0) and (-6, 0).
And we're done!
Edit: Grammar
What is 20% of a $30 haircut
Answer:
6
Step-by-step explanation:
30 X 0.2=6
Answer:
Step-by-step explanation:
Bill: $30.00
Tip: $6.00
Total: $36.00
3х2 x 2х3
Please HELP!!!!
Answer: 36
Step-by-step explanation: to make it easier, it is 6x6.
Answer:
36
Step-by-step explanation:
3х2 x 2х3
6 x 6
36
An item is priced at $13.51. If the sales tax is 7%, what does the item cost including sales tax? please help ♀️♀️
Answer:
14.45
Step-by-step explanation:
(0,0) is a solution to y> -3x + 4
Answer:
(0,0) is a solution.
Step-by-step explanation:
To see if this is true you can put (0,0) into the [tex]y[/tex] and [tex]x[/tex] variables like so: [tex]0>-3(0)+4[/tex]. When you solve this you get [tex]0>4[/tex] so this statement is true
The volume of a rectangular prism is the product of its length, width, and height. The length of a rectangle prism is 3 feet more than five times its height. The width is 5 feet less than six times its height. Express the length and width in terms of the height h. The length is The width is (Be sure to Write down the expanded form of the expression for the volume: expand the volume expression) (Express the interval in which the In what range must the height fall? He height must be)
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively, the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units and the height must be in the interval of [tex][0,\infty)[/tex].
According to the question,
The height of the rectangular prism is h.
The length of the rectangular prism is 5h+3 feet
The width of the rectangular prism is 6h-5 feet
The volume of the rectangular prism can be calculated as:
[tex]Length \times width \times height = Volume[/tex]
Substitute the value of height, length and width in the formula:
[tex]V = (5h+3) \times (6h-5) \times h[/tex]
V = [tex](30 h^2 -7h-15)h[/tex]
[tex]V = 30h^3 - 7h^2 -15h[/tex]
The height is always positive. So, the interval in which the In what range must the height fall is [tex][0,\infty)[/tex].
The length and width in terms of the height h is 5h+3 feet and 6h-5 feet respectively and the volume will be [tex]30h^3 - 7h^2 -15h[/tex] units
The height must be in the interval of [tex][0,\infty)[/tex].
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Need help ASAP plzzz and thank you :)
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
to get the exponent number, you count however many times the number is being multiple by itself
What is 6.92 x 10-3 written in standard form?
Write an equation of the line passing through point$P(4,-6) that is perpendicular to the line y=-3 . x=
Answer:
x = 4
Step-by-step explanation:
y = - 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 6) with x- coordinate 4, thus
x = 4 ← equation of perpendicular line
THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-
Answer:
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
Step-by-step explanation:
To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.
22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
= 374
You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!
Then just add like you would if when you distribute.
Remember FOIL (First, Outer, Inner, Last)
when multiplying two binomials(2 terms) or distributing factors with two terms.
For example:
(a + b)(c + d) =
F F
O O
I I
L L
(a × c) + (a × d) + (b × c) + (b × d)
is 8/4 equivalent to 10/5?
These are just some equivalent fractions of 8/4:
2/1 = 4/2 = 6/3 = 8/4
= 10/5 = 12/6 = 14/7 = 16/8
= 18/9 = 20/10 = 22/11 = 24/12
= 26/13 = 28/14 = 30/15 = 32/16
= 34/17 = 36/18 = 38/19 = 40/20
= 42/21 = 44/22 = 46/23 = 48/24
= 50/25 = 52/26 = 54/27 = 56/28
= 58/29 = 60/30 = 62/31 = 64/32
= 66/33 = 68/34 = 70/35 = 72/36
= 74/37 = 76/38 = 78/39 = 80/40
= 82/41 = 84/42 = 86/43 = 88/44
= 90/45 = 92/46 = 94/47 = 96/48
= 98/49 = 100/50 = 102/51 = 104/52
= 106/53 = 108/54 = 110/55 = 112/56
= 114/57 = 116/58 = 118/59 = 120/60
= 122/61 = 124/62 = 126/63 = 128/64
= 130/65 = 132/66 = 134/67 = 136/68
= 138/69 = 140/70 = 142/71 = 144/72
= 146/73 = 148/74 = 150/75 = 152/76
= 154/77 = 156/78 = 158/79 = 160/80
= 162/81 = 164/82 = 166/83 = 168/84
= 170/85 = 172/86 = 174/87 = 176/88
= 178/89 = 180/90 = 182/91 = 184/92
= 186/93 = 188/94 = 190/95 = 192/96
= 194/97 = 196/98 = 198/99 = 200/100
So, yes.
Answer:
yea
Step-by-step explanation:
the both have the same value when totaly simplified, which is 2.
The width of a rectangle is three more than twice its length
yes it is! great job on coming up with that conclusion!
Answer:you have to add find the side length add 3 and double it and that’s the width. I don’t have measurements so I can’t fully help you.
Step-by-step explanation:
YESS
Match the graph with its equation
An entertainment reporter examines the average ticket prices of Broadway shows, comparing them to the number of total performances the shows have had. A resulting scatterplot shows a strong, positive relationship. The value of r for the scatterplot is 0.763. Which statement best explains the relationship between the variables?
Lower ticket prices cause fewer performances to be offered.
Higher ticket prices cause more performances to be offered.
Less popular shows have higher ticket prices and offer fewer performances.
More popular shows have higher ticket prices and offer more performances.
It can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.
Now,
Since, More popular shows have higher ticket prices and offer more performances.
Hence, Based on the information given, the best explanation for the relationship between ticket prices and the number of performances is that more popular shows tend to have higher ticket prices and offer more performances.
This is supported by the strong, positive relationship indicated by the value of r being 0.763, which suggests that as ticket prices increase, the number of performances tends to increase as well.
Therefore, it can be inferred that Broadway shows with higher ticket prices tend to be more popular and offer more performances.
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(4, 10) and (-2,-5) Slope
Answer:
The slope is 5/2
Select the fraction that is equivalent to A. 1 9 B. 1 2 C. 1 22 D. 2 9
I need some help please...
Answer:
option 3: 2x²+22xy
Step-by-step explanation:
perimeter of an rectangle = 2(l+b)
= 2{(3x²+5xy)+(6xy–2x²)
= 2(x² +11xy)
= 2x²+22xy
If (3 , K) and (2, 4k) are two points on a graph of a line and k is not equal to 0, what is the slope of the line?
The coordinates for the vertices are A(1,3), B(4,0) ,C(1,-3) ,D(-2,0) what is the length of the AB
Answer: 3sqrt(2)
Step-by-step explanation:
d = sqrt[(3-0)^2 + (4-1)^2]
d = sqrt[9+9]
d = sqrt(18) = 3sqrt(2)
Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)
Answer:
f(5)=31
Step-by-step explanation:
f(5)=5(5+3)-9
=5(8)-9
=40-9
=31
Can someone answer the first question ????? PLEASE HURRY ILL GIVE ALL MY POINTS
Answer:
its F
Step-by-step explanation:
Its f since when you do the reflection on a grid you will get (1,-4) No problem ;D