Answer:
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Step-by-step explanation:
The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Pleeaassee heeellllllppppp
Answer:
Nn
Step-by-step explanation:
How do you convert a decimal to a fraction 0.04
Answer:
0.04=1/25
Step-by-step explanation:
0.04=0.04*100/100=4/100=1/25
The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?
Answer:
50%
Step-by-step explanation:
We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:
P (x <52000)
P ((x - m) / sd <(52000 -52000) /2)
P (z <0)
If we look in the normal distribution table we have to:
P (x <52000) = 0.5
That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%
At the party, Aisha and her friends ate 2 \dfrac{1}{2}2 2 1 2, start fraction, 1, divided by, 2, end fraction pizzas. After the party, there were 1 \dfrac{1}{8}1 8 1 1, start fraction, 1, divided by, 8, end fraction pizzas left. How many pizzas were there at the start of the party?
Answer:
[tex]3\dfrac{5}{8}[/tex] pizzas.
Step-by-step explanation:
It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.
After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.
Now,
[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]
Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza
[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]
[tex]=\dfrac{20+9}{8}[/tex]
[tex]=\dfrac{29}{8}[/tex]
[tex]=3\dfrac{5}{8}[/tex]
Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.
Answer:
3 & 5/8
Step-by-step explanation:
i got it right
In rectangle WXYZ, A is on side WX such that AX = 4, B is on side YZ such that BY = 18, and C is on side XY such that angle ACB= 90 degrees and CY = 2CX. Find AB.
Answer:2*sqrt(130)
Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]
The length of the side AB from the figure is approximately 22.8.
Given a rectangle WXYZ.
Consider triangles ΔACX and ΔBCY.
∠AXC = ∠BYC
Also, ∠CAX + ∠ACX = 180° - 90°
So, ∠CAX = 90° - ∠ACX [Equation 1]
Given that ∠ACB = 90°
Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.
So, ∠ACX + ∠ACB + ∠BCY = 180°
So, ∠ACX + 90° + ∠BCY = 180°
∠ACX + ∠BCY = 90°
∠BCY = 90° - ∠ACX [Equation 2]
From [Equation 1] and [Equation 2], ∠CAX = ∠BCY
By AA similarity, triangles ΔACX and ΔBCY are similar.
So, the corresponding sides are proportional.
AX / CY = CX / BY
4 / 2CX = CX / 18
(CX)² = 36
CX = 6
Now, using the Pythagoras theorem:
AC = √(4² + 6²) = √52
BC = √(18² + 12²) = √468
So, AB = √(√52)² + (√468)²
= √520
≈ 22.8
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Which algebraic expression represents the oference of 54 and a number?
2
Answer:
84
Step-by-step explanation:
Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?
Answer: the second one
Step-by-step explanation:
The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).
(x, y) becomes (-y, x) in 180° clockwise rotation
A(-5, 4)→(-4, -5)
B(-2, 4)→(-4, -2)
C(-1, 1)→(-1, -1)
Now,
The reflection of point (x, y) across the y-axis is (-x, y).
Then, coordinates become
(-4, -5)→A'(4, -5)
(-4, -2)→B'(4, -2)
(-1, -1)→C'(1, -1)
The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.
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How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
Given:
The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].
Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].
By the parent function we have to obtain given function ,So,we have to add on both sides 2,
f(x)+2 = [tex]\sqrt{x+2}[/tex]
Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.
Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.
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What is unique about an equilateral triangle? *
Answer:
Option A
Step-by-step explanation:
An equilateral triangle's sides are equal to each other, and all their angles are equal.
The best option is A.
What makes the other answers wrong:All angles in a equilateral triangle are 60° each. They are not obtuse.
All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.
All sides of a equilateral triangle are congruent.
can someone please help me on this question?
Answer:
The second figure is rhombus but the first figure is square
A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.
1. A. U
B. S
C. Line
2. A. Does
B. Does not
Answer :
A linear function has a graph in the shape of a line
A non-linear function does not have the same value added to or subtracted from the dependent variable
Step-by-step explanation:
A linear function is any function that graphs to a straight line.
So, The shape of linear graph is straight line .
1) A linear function has a graph in the shape of a ____
Answer : C . Line
Thus A linear function has a graph in the shape of a line
A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable
Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.
2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable
Answer B : Does not
Thus A non-linear function does not have the same value added to or subtracted from the dependent variable
What is the angle of fire in standard position on the unit circle in both degrees and radians?
Answer90
Step-by-step explanation:
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
[tex]\frac{1}{3}(6x+23)+\frac{1}{3}[/tex]
please see the attached picture for full solution
hope it helps
good luck on your assignment..
Which of the following is a counter example for the given conjecture?
Conjecture: All student have school pride.
A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event
Please answer this
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
D- John does not wear his school colors and does not attend any school event.
Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.
The given conjecture is "All students have school pride."
We need to identify a counter-example for the given conjecture.
What is a conjecture?In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.
Now, "All students have school pride" is not true, because not all students have school pride.
The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"
Therefore, option D is the correct answer.
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Kelli wants to buy one pound of blueberries and several pounds of grapes. She has $15 to spend. Write an inequality to represent this situation. Then solve the inequality and graph the solutions. What do the solutions represent in the context of the problem?
Step-by-step explanation:
daddy want some more dior
Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions
Answer:
1) f(-10)f(x) = x²
f(-10) = (-10)²
f(-10) = 100
2) f(-7)
f(x) = x²
f(-7) = (-7)²
f(-7) = 49
3) f(-5)
f(x) = x³
f(-5) = (-5)³
f(-5) = -125
4) f(-3)f(x) = x³
f(-3) = (-3)³
f(-3) = -27
5) f(0)f(x) = √x
f(0) = √0
f(0) = 0
6) f(2)f(x) = √x
f(2) = √2
f(2) = 1.414
7) f(5)f(x) = 1/x
f(5) = 1/5
f(5) = 0.2
8) f(7)f(x) = 1/x
f(7) = 1/7
f(7) = 0.143
9) f(10)FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
Answer:
A. 19
Step-by-step explanation:
The median is the middle-point
The middle-point is also the number that is halfway into the set. To find the middle-point, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the middle-point is found by taking the mean (average) of the two middlemost numbers.
please mark me brainliest :)
Solve for x pls hurry !
Answer:
x = 7
Step-by-step explanation:
7x + 68 = 2x + 103
5x = 35
x = 7
Please help me solve this puzzle.
Step-by-step explanation:
marmiad=10
trident=6
pearls =4
10+6×4
=16×4
=64
hey!!
Answer:34
Step by step explanation:
4+4+4=12
4+4+10=18
6+10+10=26
10+6*4=34
hope it helps..
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song
Simplify.
Please I need it
Answer:
[tex]a^2[/tex]
Step-by-step explanation:
[tex]\sqrt[m]{a^{2m}}[/tex]
[tex]a^{2m \times 1/m}[/tex]
[tex]a^{\frac{2m}{m}}[/tex]
[tex]a^2[/tex]
help please, thank you
Answer:
.39-.23
=.16
that the answer
Ben makes $39,600 a year. What is the maximum amount he can afford for a'
mortgage each month?
O
O
O
A. $890
B. $825
c. $850
D. $875
Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry
The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
What is mortgage?The mortgage is a type of loan which is taken to purchase the home or lands.
In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,
[tex]M=\dfrac{39600}{4}\\M=9900[/tex]
There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,
[tex]M=\dfrac{9900}{12}\\M=825[/tex]
Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
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the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
please answer this !!!!!
Answer:
The slope is -3/1.
Step-by-step explanation:
what does DE equal to ?
I don't know how to find the value of x in the isosceles triangle.
Answer:
x=4
Step-by-step explanation:
split the triangle into two and you will get another smaller triangle as shown in what I have drawn
so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it
so by Pythagoras theorem, 5^2= 3^2 + x^2
then you can solve for x
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-intercept form of the equation for this line?
O y = 2 x + 2
O y = 2 x - 4
O y = 2 x + 3 / 3
O y = 1/2 x - 1 / 2
Answer:
y=1/2x - 1/2
Step-by-step explanation:
Slope intercept form is y=mx+b
The m is the slope of the line and the b is the y-intercept.
You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.
GIVING BRAINLIEST TO PERSON AHO ANSWERS FIRST!!
match the given areas with the correct figure. all areas have been rounded to the nearest whole number. (zoom in to see answers)
What is the slope of -2x+ 5y = 10?
Answer:
the rise is 2 and the run is 5
Step-by-step explanation:
2/5
Answer:
Step-by-step explanation:
the slope is = 2/5
the y-intercept = 2
