Answer:
Center: (9,3)
Radius: 9 units
Step-by-step explanation:
[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]
[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]
[tex](x-9)^{2} +(y-3)^{2} =81[/tex]
Center: (9,3)
[tex]r^{2} =81[/tex] → [tex]r=9[/tex]
Radius : 9 units
-----------------------
OAmalOHopeO
-----------------------
The coordinates of the image of P(3,-4) under a reflection in the x-axis are:
A. (3,4)
B. (4, -3)
C. (-4, 3)
D. (-3,-4)
Answer:
D. (-3,-4)
Step-by-step explanation:
PLACE YOUR GRAPH TOWARDS A MIRROR.....
The new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
What is reflection?Reflection is a type of rigid geometrical transformation that maintains the object's size and shape, unlike other transformations such as dilation, which changes the size of the shape, reflection results in congruent images.
What is the rule for the reflection in the x-axis?The rule for the reflection over the x axis is "if the point (x, y) reflected in axis the it becomes (x, -y).
According to the given question.
We have a coordinates of the image of P(3, -4).
So, when the coordinates of the image is reflected in the x-axis then the x coordinate remains same but the y coordinate changes its sign from negative to positive and we get the new coordinate of the image that is [tex]P'(3, 4).[/tex]
Hence, the new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
Find out more information about reflection here:
https://brainly.com/question/15175017
#SPJ2
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
Can someone explain this to me thank you
Answer: x = 16.9
Concept:
Here, we need to know the idea of basic trigonometry.
Sine = Opposite / Hypotenues = O / H
Cosine = Adjacent / Hypotenues = A / H
Tangent = Opposite / Adjacent = O / A
Solve:
Angle θ = 50°
Opposite = x
Hypotenues = 22
Given formula
Sine = Opposite / Hypotenues
Substitute the value into the formula
sin (50) = x / 22
Multiply 22 on both sides
sin (50) × 22 = x/22 × 22
x = 22 sin (50)
x = 16.9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
16.85
Step-by-step explanation:
SOH CAH TOA
sin 50 = about 0.766
times by 22 then u get
16.85
Hope this helps
Can someone help me with this question I'll give brainliest!
Answer:
61% is the answer
Step-by-step explanation:
for paper 1:
[tex] \frac{75}{100} \times 60 = 45[/tex]
for paper 2:
[tex] \frac{55}{100} \times 140 = 77[/tex]
For paper 1, hisham's score is 45 out of 60
For paper 2, hisham's score is 77 out of 140
Therefore, his total score is 122 out of 200.
Therefore his total percentage score is now,
[tex] \frac{122}{200} \times 100 = 61[/tex]
61%
A 1-pound bag of sunflower seeds provides 96 grams of protein, There
are 58.5 grams of protein in a 6.5-ounce bag of pumpkin seeds. Which
type of seed has more grams of protein per ounce? How many more
grams of protein are there in 24 ounces of the higher-protein seeds?
Answer:
Pumpkin seed has more grams of protein per ounce
216 grams of protein
Step-by-step explanation:
1 pound = 16 ounce
16 ounce of sunflower seeds = 96 grams of protein
6.5 ounce of pumpkin seeds = 58.5 grams of protein
Which type of seed has more grams of protein per ounce?
Sunflower seeds:
Protein per ounce = 96 grams / 16 ounce
= 6 grams of protein per ounce
Pumpkin seeds:
Protein per ounce = 58.5 grams / 6.5 ounce
= 9 grams of protein per ounce
Therefore,
Pumpkin seed has more grams of protein per ounce
How many more grams of protein are there in 24 ounces of the higher-protein seeds?
Quantity of protein = 24 ounces ×
9 grams of protein per ounce
= 216 grams of protein
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é: a) r = 6 b) r = 7 c) r = 9 d) r = 11 e) r = 12 2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a: a) 78 b) 79 c) 80 d) 81 e) 82
Answer:
1) b) r = 7
2) e) 82
Step-by-step explanation:
Progressão aritmética:
Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.
O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:
[tex]a_n = a_1 + (n-1)r[/tex]
Tomando o m-ésimo termo como referência, tem-se que:
[tex]a_n = a_m + (n-m)r[/tex]
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:
[tex]a_5 = 40, a_9 = 68[/tex]. Então:
[tex]a_n = a_m + (n-m)r[/tex]
[tex]68 = 40 + 4r[/tex]
[tex]4r = 28[/tex]
[tex]r = \frac{28}{4} = 7[/tex]
Então a resposta correta é dada pela alternativa b.
2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:
O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.
[tex]a_n = a_1 + (n-1)r[/tex]
[tex]107 = 72 + 7r[/tex]
[tex]7r = 35[/tex]
[tex]r = \frac{35}{7} = 5[/tex]
Então, o terceiro termo é:
[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]
Logo, a resposta correta é dada pela alternativa e.
3(5-4)+2(5)-5 squared
the answer should be -12 if I did the math right.
Step-by-step explanation:
3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)
3+10-25(Square of 5 is 25)
-12(subtracting the above equation 12 comes)
¿Qué se requiere para sumar o restar dos matrices?
ASAP please help meeeeeeeeeeeeeee
Answer:
7/10
(-4×-7)/(5×8)
=28/40
=7/10
Help pls appreciate it pls
Answer: D.
Step-by-step explanation:
If we know that 1 side equal along with 1 angle is equal to the other triangles angle and side. Than only one answer really stands out (at least to me) if that makes any sense
Hope this helps
:)
Identify the values of the variables. Give your answers in the simplest radical form
Answer:
Step-by-step explanation:
Can someone please help me with this question?
9514 1404 393
Answer:
3.78×10^-5
Step-by-step explanation:
To find 4 times the measurement, multiply the measurement by 4.
4 × 9.45×10^-6 = 37.8×10^-6 = 3.78×10^-5
__
Your calculator or spreadsheet can do this for you and express the result in scientific notation.
p% of m translate into an algebraic expression
Answer:
p/100*m
Step-by-step explanation:
Ok so first off, we know that,
percent means out of 100
therefore,
p/100 *of* (means multiplication in math) m
So if we would replace *of* with multiplication, the problem would look like this
p/100 * m and that would be your answer.
the reason we do not simplify it further is because it only asks for the algebraic expression, not the final result!
Cheers! I hope this helps and you can understand now.
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement p% of m can be written in the form of an expression as pm/100.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement p% of m can be written in the form of an expression as shown below,
p% of m
p% × m
= (p/100) × m
= (p × m)/100
= pm/100
Hence, The given statement p% of m can be written in the form of an expression as pm/100.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ5
johnny wants to construct a circular area for his patio. he bought enough stones to cover 200.96m^2. If he wants to put an umbrella in the middle of the patio, how far away is the table going to be from the edge of the circular patio
Answer:
Step-by-step explanation:
area = πr² = 200.96
r = √(200.96/π) ≅ 8
The table is 8 meters from the edge.
Matt is making cookies. He adds 3 over 4 cup of sugar to a bowl. He then removes two 1 over 8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
Answer:
3/4 is equal to 6/8 2 1/8s is equal to 2/8
HELP ASAP!!
duskkdkdkdjdjdkddkkffkkkfkgkfkfkkf
Derek had a bill of $29 last month on he Call-a-Lot Plan. How many minutes did he use?
can someone please help me with this question!
Answer:
A
Step-by-step explanation:
The x value of the center = 0
The y value of the center = 220/2 + 11 = 110 + 11 = 121
so the center is at (0,121)
The radius is 220/2 = 110
The equation of the Ferris Wheel is
x^2 + (y - 121)^2 = 110^2
x^2 + (y - 121)^2 = 12100
Please help me with this
Just bottom part
f(n)=5^n
f(4)=?
soln...
just put the value n=4
f(4)=5^4
=625.......
What is the value of x?
Answer:
x is equal to give
Hope am correct
Answer:
x = 5.
Step-by-step explanation:
x / (x + 5) = (x - 2)/(x+ 1)
x(x + 1) = (x - 2)(x + 5)
x^2 + x = x^2 + 3x - 10
x = 3x - 10
-2x = -10
x = 5.
A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by selling for the same selling price.
Answer:
Current selling price = Rs 20 × 120 %
= Rs 24
Cost price should be [100 ÷ 125 ] × 24
= Rs 19.20
What is the solution to the equation 4x + 2 = x3? (Round to the nearest tenth).
The solution is about x=?
Answer:
X = -2
Step-by-step explanation:
4x + 2 = x3
Subtract 2 from both sides: 4x = x3 -2
Subtract x3 from both sides: 4x - 3x = -2
This leaves 1x = -2 which can also be written as x = -2
x = -2
What is the prime factorization of 750
Can someone help me with this math homework please!
Answer:
negative
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 50
y2 = 44
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 44 - 50 ) / ( 1 - 0 )
= - 6 / 1
= - 6
- 6 is a negative number.
So, the slope is negative.
1
Work out the area of the shape:
3cm
6cm
2cm
2cm
Answer:
24 cm
Step-by-step explanation:
6*2+3*4=?
12+12
24 cm
Question 8(Multiple Choice Worth 5 points) (01.01 MC) Which number line best show how to solve -4 - (-8)?
Answer:
4
Step-by-step explanation:
-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8
Find the value x ……….
Answer: 6 because it more than thd base and less than the other triangles leg
Step-by-step explanation:
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^2 = y^2 + 25[/tex]
[tex]\frac{y}{11} = \frac{5}{y}[/tex]
[tex]y^2 = 55[/tex]
[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]
If a zero is
, then the graph of its function only touches the x–axis at that zero.
Answer:
Step-by-step explanation:
Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.
A student buys 5-cent, 10-cent, and 15-cent stamps, with a total value of $6.70. If the
number of 5-cent stamps is 2 more than the number of 10-cent stamps, while the
number of 15-cent stamps is 5 more than one half the number of 10-cent stamps, how
many 15-cent stamps did the student obtain?
Please help
I am giving all my points for this (15 points)
Select all input values for which g(x)=8.
Choose all answers that apply:
(Choice A)
x=−4
(Choice B)
x=6
(Choice C)
x=9
(Choice D)
None of the above
Answer:
D. none of the above
Step-by-step explanation:
If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.