Answer:
Step-by-step explanation:
center at the origin means
x^2 + y^2 = r^2
9^2 + (-2)^2 = 81+4 = 85, so the circle is
x^2 + y^2 = 85
center at (0,-2) means
x^2 + (y+2)^2 = r^2
(-6)^2 + (0+2)^2 = 36+4 = 40
x^2 + (y+2)^2 = 40
The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = 85
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Circle o centered at the origin that passes through (9,-2).
Now, We can find the radius of circle as;
Radius of circle is distance between (0, 0) and point (9, - 2).
⇒ r = √ (- 2 - 0)² + (9 - 0)²
⇒ r = √4 + 81
⇒ r = √85
Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = (√85)²
⇒ x² + y² = 85
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Identify each situation as a permutation or a combination.
1. choosing friends to invite to a party
2. choosing your top 10 favorite actors
Answer:
1. Combination
2. Permutation
Step-by-step explanation:
Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).
1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).
2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.
Help please!!!!!!!!!!
Answer:
90 cm^3
Step-by-step explanation:
V=LxWxH
V= 10(3)(3)
=90 cm^3
Pls Answer the first one and the second question
Answer:
here wo go with the answerrrrrrrrrrr
Answer:
(a) [tex]10\frac{13}{35}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]
[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]
[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]
[tex]\frac{40+308+15}{35}[/tex]
[tex]\frac{363}{35}=10\frac{13}{35}[/tex]
P(x)=1−2x2+3x+2x5 what type of polynomial is this?
Need help it’s due very soon and show work please ASAP !!?
Answer:
The volume of the cylinder is 125.664 cubic inches, without rounding off
You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan
Answer:
Amount of interest pay per year = $97.5 (Approx.)
Step-by-step explanation:
Given:
Amount borrow for college expenses = $3,897
Rate of interest = 2.5%
Find:
Amount of interest pay per year
Computation:
Using Simple interest formula;
Simple interest = Amount borrow x Rate of interest x number of year
Amount of interest pay per year = 3,897 x 2.5% x 1
Amount of interest pay per year = 3,897 x 0.025
Amount of interest pay per year = 97.425
Amount of interest pay per year = $97.5 (Approx.)
3
The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
A $6
B $7
C$10
D $4
Answer: A $6
Step-by-step explanation:
Let x = price per child ticket, y= price per senior ticket.
As per given, we have
5x+12y=102 (i)
12x+14y=156 (ii)
From (i), we have
[tex]x=\dfrac{102-12y}{5}[/tex] (iii)
Put value of x in (ii), we get
[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]
Hence, the price of senior ticket = $6
Thus the correct option is A.
A person runs 1/4 mile in 1/28 hour. What is the persons speed
Answer:
7
Step-by-step explanation:
speed x time = distance
? x time = distance
1/28x = 1/4
1/28x 1/4
_____ = _____
1/28 1/28
1/4 ÷ 1/28
(reciprocal method) 28/1
1/4 × 28/1 (change the equation into multiplication)
1/4 × 28/1 = 28/4 (multiply)
(Simplify) 28/4 ---> 7/1 or 7
final answer:
The persons speed would be 7.
A regular polygon with exterior angle of 45° is redrawn using a scale 1 : 5. If the actual length of the sides of the regular polygon is 10cm, calculate the perimeter of the scale drawing of the regular polygon.
Answer:
16 cm
Step-by-step explanation:
"regular polygon" means all sides and angles are the same.
the sum of all exterior angles must be 360 degrees.
so, how often do 45 fit into 360 ?
2 times in 90, which in turn fit 4 times into 360, so 8 times.
the polygon has 8 corners and 8 sides.
each side is originally 10cm
so the original perimeter is 8×10 = 80 cm
now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.
=> perimeter = 80×(1/5) = 80/5 = 16 x cm
control :
applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.
we still have 8 sides.
perimeter = 8 × 2 = 16 cm
correct
In AFGH, the measure of ZH=90°, HF = 2.9 feet, and GH = 1.5 feet. Find the
measure of ZG to the nearest degree.
9514 1404 393
Answer:
63°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(G) = HF/HG
G = arctan(HF/HG) = arctan(2.9/1.5) ≈ 63°
Help please and thank you...
Answer:
Its b) 55
Step-by-step explanation:
trust me,......
what is the length of side B in the above right triangle
Answer:
b is 3 pythagorean theorem
Step-by-step explanation:
Answer:
your answer for B is 3
Step-by-step explanation:
this is easy its a Pythagorean Triple (with triples u dont have to do much work all u have to do is know ur Triples and its that easy)
so the Triples are
3,4,55,12,138,15,177,24,25p.s you might want to write these down for the future
so if we look at this picture of the triangle we can tell its a 3,4,5 triple
and there is one missing side which is 3.
FREE
y
A
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the y-
axis?
8
X
0 (-8,-6)
O (-6, 8)
O (86)
O (6.-8)
C
B
Mark this and return
Save and Exit
Next
Submit
Can someone help me complete this worksheet please and thank you it’s all multiple choice
Answer:
1. D 12.8 cm
2. B 4.2 m
3. A 9.59
4. A 6.95
5. B 17.5 cm
Line p and line q are ______
Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)
-42+(-17) simplified
Answer:
La respuesta es
Step-by-step explanation:
-42+(-17)=. - 59
Espero ayudarte suerte
Hi there!
»»————- ★ ————-««
I believe your answer is:
-59
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
(x^2-5)(x+3)+(x+4)(x-x^2)
Answer:
-x-15
Step-by-step explanation:
Expand using the FOIL Method.
add me on Discord for step by step pls
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺[tex]\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )[/tex]
➺[tex] \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )[/tex]
➺[tex] \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} [/tex]
Combining like terms, we have
➺[tex] \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15[/tex]
➺[tex] \: - x - 15[/tex]
➺[tex]\: - (x + 15)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist
fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answer:
speed of parachutists will be 50×3.3= 165 feet per second.
Step-by-step explanation:
hence distance traveled = speed × time taken
=165×5
=825 feet
What is the area of the right triangle shown below?
Answer:
60 units²
Step-by-step explanation:
Find the other side length:
8² + x² = 17²
64 + x² = 289
x² = 225
x = 15
Find the Area:
1/2(8 x 15) = Area
1/2(120) = Area
Area = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which of the following tables represents a function?
Answer:
The last one
Step-by-step explanation:
Find QR.
PLEASE HELP!!!
Answer:
B.6
Step-by-step explanation:
3 + 2x + 22 = x + 17
Combine like terms
25 + 2x = x + 17
Subtract 17 from both sides
8 + 2x = x
Subtract 2x from both sides
8 = -x
Divide both sides by -1
x = -8
Substitute -8 for x in 2x + 22 to find value of QR
2(-8) + 22
Multiply
-16 + 22
Add
QR = 6
The length of QR in the given figure by combining like terms and applying the substitution method, QR = 6
Used the concept of addition and combining like terms in the mathmatical expression.
Given that,
The length of line segments is,
PQ = 3
QR = (2x + 22)
PR = (x + 17)
Now, from the figure,
PQ = QP + QR
Substitute the given values,
x + 17 = 3 + 2x + 22
Combine like terms
x + 17 = 25 + 2x
Subtract 17 from both sides
x = 8 + 2x
Subtract 2x from both sides
x - 2x = 8
- x = 8
Divide both sides by -1
x = -8
So, for the length of QR,
Substitute - 8 for x in the length of QR,
QR = 2x + 22
= 2(-8) + 22
= -16 + 22
= 6
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how many and what type of solutions does 5x^2-2x+6 have
Answer:
two irrational solutions
Step-by-step explanation:
you can use the quadratic formula: (b ± √b²- 4ac)÷2a
a = 5, b = -2, c = 6
= [2 ± √(-2²)-4(5)(6)] ÷ 2(5)
= (2 ± √4-120) / 10
two complex solutions: (2+√-116)/10, (2-√-116)/10
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system? А.) There is exactly one solution
B.) There is no solution.
C.) There are infiriitely many solutions
D.) The lines in a system cannot graph the same line.
((PLEASE HELPPP))
Please help me! Thank you so much.
Answer:
57
Step-by-step explanation:
3^r = 19
Multiply each side by 3
3 * 3^r = 19 *3
We know that a^b * a^ c = a^ ( b+c)
3^1 * 3^r = 19 *3
3^(r+1) = 19*3
3^(r+1) = 57
Need help!!!! On a timer!!!
Answer:
D
Step-by-step explanation:
(hg)(x)=(4x+3)(x+2)=4x²+11x+6
Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10
Answer:
x=-7
y=6
Step-by-step explanation:
7x+10y=11
4x+3y=-10
-3(7x+10y=11
10(4x+3y=-10
-21x-30y=-33
40x+30y=-100
19x = -133 (divide 19 on both sides)
x= -7
Now put the x in one of the original questions.
7(-7)+10y=11
-49+10y=11 (Add 49 to both sides)
10y=60 (Divide 10 on both sides)
y=6
a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm
Answer:
where is the diagram
pls correct
The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept?
A. −8
B. −3
C. 3
D. 8
Answer:
C. 3
Step-by-step explanation:
The y intercept will always be the 'b' in the formula
y= mx+b
since your formula is y = -8x +3, and 3 is in the place of "b", your y intercept will be 3
Answer:
C.3
Step-by-step explanation:
In the equation of y = -8x +3 you can find the y - intercept by looking at number which replaces b which is a positve three. Meaning that your y - intercept would be answer choice C which is positive three.
How many solutions exist for the system of equations graphed below?
Help please !
Answer:
none (0) ...
think of two lines (or chop sticks places on a table) ...
there are three (3) possible orientations that they can be in.
1) they cross each other at one point
2) they are on top of each other (they touch everywhere)
3) they are side by side (parallel)
in situation one we say we have a solution
in situation two we say there is an infinite solutions (the same line)
in situation three (your problem) we say there is no solution (parallel lines)
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
I’m confused, please help
Answer: (a)
Step-by-step explanation:
Given
[tex]g(x)=x^2[/tex]
Clearly, [tex]f(x)[/tex] is obtained by shifting [tex]g(x)[/tex] 3 units down and multiplying it by a certain factor to amplify it.
Checking the option which is 3 units below and multiplying by a factor
option (a) is meeting both the cirterias.
