Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) [x = 5; y - ?]
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) [x - ?; y = -5]
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) [x - ?; y = 0]
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
Point A has coordinates (5; 0), which means that
point C has coordinates (-5; 0).
D. (0; _) [x = 0; y - ?]
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
Point B has coordinates (0; -5), which means that
point D has coordinates (0; 5).
6) Find the quotient
Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
Learn more about the equation of a circle here-
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What are vernal pools?
A lakes
B swimming pools
C hollows where water collects
D caves where wild animals sleep
Answer: C. Hollows where water collects :)
Step-by-step explanation:
HELPPP!!!!!!!!!!!!!!!! PLEASE! :D
Answer:
The solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
Step-by-step explanation:
Given the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
solving the expression
[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]
[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex][tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]
solving
[tex]4x-1\le \:5x[/tex]
Add 1 to both sides
[tex]4x-1+1\le \:5x+1[/tex]
Simplify
[tex]4x\le \:5x+1[/tex]
Subtract 5x from both sides
[tex]4x-5x\le \:5x+1-5x[/tex]
simplify
[tex]-x\le \:1[/tex]
Multiply both sides by -1 (reverse inequality)
[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]
Simplify
[tex]x\ge \:-1[/tex]
Similarly solving
[tex]5x\le \:3\left(x+2\right)[/tex]
Subtract 3x from both sides
[tex]5x-3x\le \:3x+6-3x[/tex]
Simplify
[tex]2x\le \:6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]
Simplify
[tex]x\le \:3[/tex]
So combine the interval
[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]
Merge overlapping intervals
[tex]-1\le \:x\le \:3[/tex]
Therefore, the solution to the inequality is:
[tex]-1\le \:x\le \:3[/tex]
The line graph of the solution is also attached.
1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP
Answer: Q1.=145, Q2.=20
Step-by-step explanation:
two supplementary angles equal 180
1. 180-35=145
2 . complementary angles , both add up to 90
90-70=20
Brainliest to RIGHT answer
Answer:
Calculate the slope Take two points So 3x is the slope 0=3(-2)+b b = 6 y=mx+by=3x+6 Give brainlistHELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Help !!! ANYBODY PLEASE HELP IM BEGGING U
Answer:
Step-by-step explanation:
Blue- x+10y-10z
hi, can you please solve that ?
Answer:
A.
Step-by-step explanation:
You need to solve for p on both inequalities.
4 ≤ p - 8
12 ≤ p
p - 14 ≤ 2
p ≤ 16
This means that p is greater than or equal to 12 but less than or equal to 16.
12 ≤ p ≤ 16
Therefore, the answer is A.
Solve the inequality.
-4(2n-6)
Answer: -8n + 24
Step-by-step explanation:
-4(2n-6)
-8n + 24
Answer:-8n+24
Step-by-step explanation:
Describe the translation
Answer:
D
Step-by-step explanation:
-2 --> 2 = +4
5 --> - 3 = -8
<4, -8>
A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 44 represents the total cost. How many of each type of book did you buy?
Answer:
You bought 3 hardcover books and 4 paperback books.
Step-by-step explanation:
8×3+5×4=44
What’s the answer to this?
Answer:
I would say the answer is c p=6n+18 because im thinking you are dealing with input-output
Step-by-step explanation:
Can someone help me please thanks.
Answer:
1/125
Step-by-step explanation:
(1/5)³ = 1/125
1³ = 1
5³ = 125
Answer:
Step-by-step explanation:
this looks like 1/5 * 1/5 * 1/5
multiply the tops ( numerators) and the bottoms (denominators)
tops are 1
bottoms are 125
1/125
:)
What do you subtract from -3 td get positive 4?*
Answer:
7
Step-by-step explanation:
Please explain how to do this
Answer:
You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth
Step-by-step explanation:
I need help please i need step by step help
Round 60958 correct to 1 significant figure
The answer is 60000 because it is only to 1sf
Answer:
60,000
Step-by-step explanation:
In function for every input there is exactly one output
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
Lola made $104.54 working 11 hours this week. Next week she is working 15 hours. How much will she make?
Answer:
$142.50
Step-by-step explanation:
If you divide how much she made by 11 you find out she makes $9.50 and hour and then you mutiply $9.50 by the 15 hours she works.
Find the angle represented by x. (rounded to the nearest tenth of a degree)
Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
-1/6 + 4/5 Write your answer in simplest form
Answer:19/30
Step-by-step explanation:
1. multiply and divide(left to right)-1/6
=-1/6+4/5
2.multiply and divide(left to right)4/5
=-1/6+4/5
3. add and subtract(left to right)-1/6+4/5=19/30
=19/30
Select the correct answer.
What is the solution for x in the equation?
-3x+7X-8 = 34 + 9x-2
OA
L =
OB.
L =
COM
OC.
I = 8
OD.
I = -8
Answer:
-8
Step-by-step explanation:
-3x+7x-8=34+9x-2
we move the x's to the left and the numbers to the right
4x-9x=32+8
-5x=40
x=-40/5
x=-8
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
someone do these please!
Answer:
I think the first option is better.
Step-by-step explanation:
First : 5.75% of $5000 is 287.5. 287.5 * 24 = 6900
And 6.55 of $5000 is 325. 325 * 36 = 117000
If she takes the first option it would be better because it is nearer to what she can afford. It is also better because it helps her make more than 5000 in less time.
HOPE THIS HELPED.
IF IT DOESN'T PLEASE COMMENT.
Please can you help me with this
9514 1404 393
Answer:
85°
Step-by-step explanation:
The sum of arcs in a circle is 360°.
FG +140° +80° +55° = 360°
FG = 360° -275°
FG = 85°
The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.
Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
what is the formula for finding missing angles of a triangle
Answer:
Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°
I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.
What is the best prediction of the hummingbird population in the year 2016?
Enter your answer, rounded to the nearest integer, in the box.
The hummingbird population will be
Answer: 4983
Step-by-step explanation:
Initial population P=5500
Population declining at the rate of 1.4%
So, in the year 2010 population is
[tex]P=5500-5500\times1.4\%=5500(1-1.4\%)[/tex]
For the year 2011
[tex]P=5500(1-1.4\%)^2[/tex]
similarly, for the year 2016
no of years passed 2016-2009=7 years
[tex]P=5500(1-1.4\%)^7[/tex]
[tex]P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983[/tex]
