Answer:
Step-by-step explanation:
[tex]x^2+8x+y^2-2y=-1\\\\x^2+8x+16+y^2-2y+1=-1+16+1\\(x+4)^2+(y-1)^2=16\\\\(x+4)^2+(y-1)^2 = 4^2[/tex]
Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transformation?
Select one:
(x,y)→(−x,y)
(x,y)→(4x,4y)
(x,y)→(x,y+6)
(x,y)→(x+6,y)
Answer:
C) (x,y) → (x,y+6)
Step-by-step explanation:
As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.
The mathematical way to find the value y is changed by would be by setting up a small equation as follows:
[tex]8 = 2 + n[/tex], where n is some number that the y value is altered by.
Solving for n gives the value 6, proving that the translation must add 6 to the y value.
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6
Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
[tex](x,y) = (2,-2)[/tex]
The equations
[tex]7x + 9y = ?[/tex]
[tex]5x - 2y = ?[/tex]
Dimitri's Solution
[tex]Equation\ 1: 7x + 9y = -4.[/tex]
[tex]7(2) + 9 (-2) = -4.[/tex]
[tex]14 + (-18) = -4.[/tex]
[tex]-4 = -4.[/tex]
[tex]Equation\ 2: 5x -2y = 6.[/tex]
[tex]5(2) - 2 (-2) = 6.[/tex]
[tex]10 - 4 = 6.[/tex]
[tex]6 = 6.[/tex]
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
[tex]5x - 2y[/tex]
and
[tex](x,y) = (2,-2)[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]
So, we have:
[tex]5(2) -2(-2)[/tex]
Open bracket
[tex]10 +4[/tex]
Finally, we have:
[tex]14[/tex]
On Monday Alex earned £120
On Tuesday she earned £100
Alex earned the same amount of money on Wednesday, on Thursday and on Friday
She earned a total of £550 for these five days,
How much did Alex eam on Wednesday?
Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.
Step-by-step explanation:
Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.
please help
2y+x=-15
y=2x
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
Hey can you help me fast!!!
how to solve for x? i need help please help fast
Hi!
x² = 11,2² - 8,5²
x² = 125,44 - 72,25
x² = 53,19 |√
x ≈ 7,3
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answer:
The answer is D. = 0.99
Does anybody know how to find the distance between 2 things using the pythagorean theorem?
Answer:
Yes
Step-by-step explanation:
The two objects are plotted at different points in graph and one gets the difference of points y coordinates (change in y) and change in x too.
Then one can look for distance as hypotenous and change in y as height and change in x as the base of our imaginery triangle.
Therefore, from Pythagoras Theoreom:
hyptenous² = height² + base²
Distance² = change in y² + change in x²
Distance = √change in y² + change in x²
Find the area of the SHADED region.
Round to the nearest TENTH if necessary.
Answer:
The area of the SHADED region is 21 cm.²
Step-by-step explanation:
The area of the SHADED region is the difference between the area of the entire figure and the area of the UNSHADED region
The shape of the UNSHADED region is a rectangle
The area of a rectangle, A = The length × The width
∴ The area of the UNSHADED region, A = 1 cm × 4 cm = 4 cm²
The area enclosed by the entire figure is in the shape of a square
The area of a square s similar to the area of the rectangle, but because a square has equal side length, the area of a square, A = Side length × Side length
Therefore, the area enclosed by the entire figure = 5 cm × 5 cm = 25 cm²
The area of the SHADED region = The area enclosed by the entire figure - The area of the UNSHADED rectangular figure inside
That is the area of the SHADED region = 25 cm² - 4 cm² = 21 cm².
3. Marissa owes her parents
money for her car. She paid
them $163 for 24 months
until she finished paying her
debt. Which integer
represents how much
money she owed her
| parents?
Keisha wants to buy her a new pair of jeans that
cost $34.99. She can receive 15% off. How much
is the discount she receives?
ROUND YOUR ANSWER TO THE NEAREST HUNDREDTH
Answer:
15% off of $34.99 equals $29.74
Step-by-step explanation:
the discount she receives should be
$34.99-$29.74= $5.25
arper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each drink. Define the variables that you use to write the system.
Answer:
popcorn is 5.5 and drink is 4
Step-by-step explanation:
It just is my g
Using the expression 4y + 18, identify the following:
1. variable
2) coefficient
3) constant
Answer:
The variable is y
The coefficient is 4
The constant is 18
Answer:
1. y
2. 4
3. 18
..............
Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?
What is the second quartile Q2 (or what is the median)?
What is the interquartile range? (Q1-Q3)
Answer: The Range is 11
The Q2 is 8
The Interquartile range is 8
In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN
Answer:
3.6cm
Step-by-step explanation:
YZ = 10² - 6² = 8
sinX = 8/10 = 53.13º
cos 53.13º = XN/6
XN = 3.6cm
Answer:
[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]
XY = 6 cm , XZ = 10 cm[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]
Length of XN[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]
Let the length of XN be ' x ' & that of NZ be ' 10 - x 'In rt. XYZ :
Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6Using Pythagoras theorem:
[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]
Plug the values & then simplify!
⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]
⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]
In rt. YNZ ,
Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - xUsing Pythagoras theorem :
⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]
In rt. XYN ,
Hypotenuse = 6 , Perpendicular = YN , base = xUsing Pythagoras theorem :
[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]
Now , From Equation ( i ) & Equation ( ii )
⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]
⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]
⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]
⤑ [tex] \large{ \sf{20x = 72}}[/tex]
⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm
Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]
[ Correct me if I am wrong ]
♨ Hope I helped! ♡
♪ Have a wonderful day / night ! ☃
☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
can someone help me with this ?
Answer:
de goes with bc ab goes with fd and angle f is angle A and angle d is angle B
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the slope of the line on the graph
Answer:
slope of the line(m) =(y2-y1)/(x2-x1)
or, m=(16-10)/(6-3)
or, m=6/3
So, m=2
How do you write an equation of a line given (1, 2) and (3, 4) in a slope -intercept form
Answer:
y = x + 1
Step-by-step explanation:
find slope first:
(4-2) / (3-1) = 2/2 or 1
now find the y-intercept, or 'b' by using one of the two given points and the slope
2 = 1(1) + b
2 = 1 + b
1 = b
equation in slope-intercept form:
y = 1x + 1 or y = x + 1
Find the missing side.
Need help please.
Need to show how to get the answer.
Answer:
8
Step-by-step explanation:
helppppppppppppppppppppppp
Answer:
b.........................
Answer:
D.
Step-by-step explanation:
bahahahhaa
Hey karlieeeeeeeeeeeeee XD
Write an expression that is equivalent to 4 times x times x times x
Answer:
4x³
Step-by-step explanation:
4 * x * x * x
4 * x² * x
4 * x³
4x³
Simply multiply, that's all that's needed.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
Answer:
Step-by-step explanation:
p[p
Answer: 34%
Step-by-step explanation:
(Trust me)
tasha purchased an ipad for $625. a year later, it was selling for $500. what was the percent of change?
a. 20% increase
b. 25% increase
c. 20% decrease
d. 25% decrease
What is the center of the data?
Number of Green Candies in a Bag
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots.
The center is
.
Answer:
[tex]Median = 13[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The center of data
This implies that, we calculate the median
From the attached plot,
[tex]n = 13[/tex] --- number of observation
So, the median is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{13 + 1}{2}[/tex]
[tex]Median = \frac{14}{2}[/tex]
[tex]Median = 7th[/tex]
The median is at the 7th position
At the 7th position, is 13
Hence:
[tex]Median = 13[/tex]
Answer:
i think it would be 13?
Step-by-step explanation:
just guessing but im pretty sure its 13
How many minutes per question does she have
Answer:
she has 2.5 minutes per question
90 ÷ 36 = 2.5
Step-by-step explanation:
Answer:
The answer is 2.5 minutes per second
Step-by-step explanation:
you divide 90 to 36 and it will give you 2.5
Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??
Dont try and say the answer in a mf file i have to download lol
Answer:
Step-by-step explanation:
Welllllll.....
If you take the square root of 9, it's 3
if you take the square root if 16, it's 4
I would guess it to be about 3.2
Answer:
Step-by-step explanation:
Lily , we know that [tex]3^{2}[/tex] =9 and [tex]4^{2}[/tex] = 16 so we know that [tex]x^{2}[/tex] = 10 , where 10 is an answer to x squared, then X lies between 3 and 4 , see?
How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?
Answer:
Number of flowers required = 1256
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Here, r = radius of the circle
For a circle with radius = 100 in.
Therefore, circumference = 2π(100)
= 200π
= 628.32 ft
Distance between each flower = 6 in
≈ [tex]\frac{6}{12}[/tex]
= 0.5 ft
Number of flowers = [tex]\frac{\text{Circumference}}{\text{Space between each flower}}[/tex]
= [tex]\frac{628.32}{0.5}[/tex]
= 1256.63
≈ 1256
Therefore, number of flowers required = 1256
Can I get help with this please?
The radius of a cylindrical cup is 6 ft and its volume is 420 cubic ft. Find the
height of the cup.
A.5 ft
B.3.71 ft
C.2.98 ft
D.6 ft
Answer:
Step-by-step explanation:
Volume of cylinder=pir^h
420={22/7×6×6]h=792/7h=113.14h
h=420/113.14
h=3.712