Answer:
[tex]y^2+x^2=9[/tex]
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]
The slope of the line passing through P(x,y) and B(-3,0) is:
[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]
Substituting in the equation:
[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]
Operating:
[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]
[tex]y^2=-(x-3)(x+3)[/tex]
[tex]y^2=-(x^2-9)[/tex]
[tex]y^2=-x^2+9[/tex]
[tex]\boxed{y^2+x^2=9}[/tex]
The locus is a circle centered at the origin with radius 3
Evaluate 2x^2 -5x + 4 when x=4
Answer:
48
Step-by-step explanation:
2(4)^2 - 5(4) +4
8^2 - 20 +4
64-20+4
48
Please gimme brainliest
Find the area of a circle with the radius of 3.5
Find the missing angles
Find the remainder using: synthetic division/substitution OR long division:
f(x) = 3x3 - 4x2 +5x-7 : (x-2)
0-57
Oo
O 11
O-25
Answer:
The remainder is 11
Step-by-step explanation:
Here, we want to find the remainder by using substitution
We start by equating x-2 to 0
x = 2
Substitute the value of x in the function
3(2)^3 - 4(2)^2 + 5(2) - 7
= 24-16+ 10 - 7 = 11
What is the difference in thousands of dollars between the mean and median of the monthly sales
HELP DUE IN 15 MIN
x =
Answer:
x=7
Step-by-step explanation:
write -2+16x+9x+7=180
then add all like terms (-2+7=5) and (16x+9x=25x)
5+25x=180
-5. -5
25x=175
/25. /25
x=7
Answer:
180=-2+16x+9x+7
180=25x+5
-5. -5
175=25x
175/25=25x/25
7= x
Step-by-step explanation:
HELP ASAP ! 15 POINTS
Answer:
D.
Step-by-step explanation:
The dark triangle is 6cm and the light is 10.5cm
Answer:
D 16.5
Step-by-step explanation:
6x2=12 divided by 2 equal 6. Answer to left triangle
7x3=21 divided by 2 equal 10.5 answer to right
Then add 10.5 +6= 16.5
Find the sum of the first 7 terms of the following series, to the nearest integer.
6, 12/5, 24/25
Answer:
9.983796
Step-by-step explanation:
Every time, it becomes smaller by 5/2 (6 divided by 5/2 is 12/5.... 12/5 divided by 5/2 is 24/25)
So, the first seven terms are 6, 2.4, 0.96, 0.384, 0.1536, 0.06144, 0.024756. Add them together and your answer would be 9.983796
Pleaseeee mark me brainliest :))
Answer:
it would be 10
Step-by-step explanation:
Please help!!
Find the rate of change
Answer:
Rate of change is 2
How I got the answer:
rate of change: [tex]\frac{y2-y1}{x2-x1}[/tex]
Lets use :
(1,3)
(2,5)
[tex]\frac{5-3}{2-1} =\frac{2}{1} =2[/tex]
Brainly plz :)
I only need the answer for NUMBER 6!!! PLEASEE HELP , ILL GIVE BRAINLIEST FOR THE RIGHT answer :) , just help me.
Answer:
285
Step-by-step explanation:
help me please i will mark brainliest if correct
Answer:
7 x 2 + 31
Step-by-step explanation:
Equals to the bottom line answer is 7
dkdkdkslorkgkfodofogosodokckdkd
Answer:
[tex]10 - 6x < 70 \\ - 6x < 60 \\ 6x > - 60 \\ \boxed{x > - 10}[/tex]
because the three sides are congruent, what foes that make each angle measure according to the equilateral triangle theorem.
a 30 degrees
b 90 degrees
c 180 degrees
d 60 degrees
Answer:
60degrees
Step-by-step explanation:
Congruent means equal and equilateral triangle also means a triangle which has three sides equal.
So 60 degrees is the sides for each angle since when they are added they all add up to 180°
<AC=60°
<CB=60°
<AB=60°
60+60+60=180°
∆ABC=180°
Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?
Answer:
Yes, the three points are collinear.
Step-by-step explanation:
None.
Find the total surface area of this triangular prism.
17 cm
8 cm
2 cm
15 cm
Answer:
200cm²
Step-by-step explanation:
Total surface area of the prism = bh + L(s1+s2+s3)
b is the base of the triangle = 15cm
h is the height of the triangle = 8cm
Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15
Perimeter of the triangular base = 40cm
L is the lateral height = 2cm
Substitute the given values into the formula;
Total surface area of the prism = 15(8) + 2(40)
Total surface area of the prism = 120+80
Total surface area of the prism = 200cm²
Hence the total surface area of the prism is 200cm²
find the two missing sides what is x and y
Answer:
y=6 , X = 8.48 which is 6 root 2
l2x-2l = 8
what are the solutions of the equations
Answer:
x=5
Step-by-step explanation:
The absolute value is positive, so the equation stays the same:
2x-2=8
Add 2 on both sides:
2x=10
Solve:
x=5
Answer:
x=29/12
Step-by-step explanation:
Let's solve your equation step-by-step.
12x−21=8
Step 1: Add 21 to both sides.
12x−21+21=8+21
12x=29
Step 2: Divide both sides by 12.
12x/12 = 29/12
x=29/12
Kyle can write a 300-word essay in an hour. At that rate, if he writes an essay in 10 minutes, how many words will it contain?
Answer: 50 Words
Step-by-step explanation: We know Kyle can write a 300-word essay in an hour or 1 hour. We want to know how many words Kyle would have in his essay if he wrote one in 10 minutes.
First, find how many words Kyle can write per minute. Simply do this by dividing 300 by 60, since there are 60 minutes in a hour.
300/60 = 5. So, Kyle can write 5 words per minute.
Now, simply multiply 5 by 10 to find how many words Kyle would write in 10 minutes.
5 x 10 = 50. So, Kyle can write 50 words in his essay if he writes for 10 minutes.
Please help me please please thank you
9514 1404 393
Answer:
see below
Step-by-step explanation:
The idea is you're trying to find quotient values that get you close to the dividend value when they're multiplied by the divisor.
In the left panel, you are basically looking at 8/3 ≈ 2. Since that is 8 tens, the partial quotient is 2 tens, or 20. The value of that multiplied by the divisor (3) is what gets subtracted from 87 for the next effort.
That difference (27) is the new dividend at the top of the right panel. The line below it (-27) is the result of multiplying the partial quotient by 3. Hence, that partial quotient on the top line must be 9. We want the difference at the bottom of the right panel to be zero.
__
In case you didn't know already that 87/3 = 29, you could work backwards. Starting from 0 at the bottom right, you would fill in the boxes above that, then copy the top box in that panel (27) to the difference at the bottom of the left panel. Of course, the middle number there must be 60 for the difference to be 27. That is 3·20, meaning the partial quotient at left on the top line is 20.
Can someone help its due soon !!
Ill mark brainliest
Answer:12 minutes
Step-by-step explanation:
56548.66 divided by 4500 = 12.5662222...
rounded to the nearest minute is = to 12 minutes
Answer:
answer:12 your welcome:/
Helpppp pls I don’t know it
Answer:
There are 72 candles in each box
Step-by-step explanation:
Key skills needed for this problem: Division
1) The problem says there are 1728 candles in 24 boxes. We need to find the number of candles in one box.
2) To solve this equation, we need to divide 1728 by 24. 1728 divided by 24 is 72.
This means there are 72 candles in each box.
Hope you understood and have a nice day!! :D
A. Headphone World
B. Best Buy
C. Target
D. Not enough information to tell
Answer:
??? dont under stand
Step-by-step explanation:
Answer:
The correct answer is Target!
Step-by-step explanation:
12% off of $225 is $198
50% off of $250 is $125
25% off of $265 is $198.75
To make an equation, you need the _________ and the y-__________. If you only have 2 points, first get the __________, then use point-slope form.
Answer:
To make an equation, you need the slope and the y-intercept. If you only have 2 points, first get the slope, then use point-slope form.
Explanation:
Equations written in slope-intercept form (y=mx+b) require two pieces of information: the slope and the y-intercept, which is where the line crosses the y-axis. Point-slope form also involves the slope, which can be found from the two given points.
31/0 as a improper fraction
Answer:
1/0=0
Step-by-step explanation:
The table below shows the temperature, in Fahrenheit, that was recorded
every hour from 9:00 P.M. to 8:00 A.M. at Dulles International Airport.
Assuming a quadratic relationship, if time = 0 represents 9:00 P.M., which
would the model predict the temperature to be at 11:00 A.M., to the nearest
tenth of a degree?
Answer:
im so so so sorry, but i dont know(possibly because im only in 7th grade with a sucky teacher)
Step-by-step explanation:
The answer is y(10° ) = -5351.5
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable, x.
To write a quadratic relationship, consider the first three points: let it be A (0,70), B (1,69.7), and C (2,69.1).
To find the constant value, we substitute the first point in the quadratic function.
i.e [tex]y=ax^{2} +bx+c[/tex]
At point A, the equation becomes
y=0+0+c=70
i.e c=70
At point B, the equation becomes
a+b=69.7
At point C, the equation becomes
4a+2b=69.1
By solving the two equations above, we get the values of a and b.
a=-35.15 and b=104.85
Then the quadratic relationship becomes
[tex]y=-35.15x^{2} +104.85x+70[/tex]
At 11:00 A.M, the temperature becomes
y(10°) =-35.15(14*14) + 104.85(14)+70
y(10°)=-5351.5
The predicted temperature at 11.00 A.M is given by, y(10°)=-5351.5
To learn more about quadratic equation use the link below:
https://brainly.com/question/17177510
#SPJ5
Adam bought a PS5 for $500 and is selling it to his friend at a 15%
markup. How much does his friend pay Adam for the PS5?
Answer:
575$
Adam being the scammer he is, does it at a 15% increased price. We will multiply.
500 x 1.15 = 575.
We get the 1.15 from 15%
There are 30 total apples of red and 6 total apples of yellow what is the percentage of yellow apples of
Answer:
20%
Step-by-step explanation:
30:6=5
yellow apples - 1/5 of 30
20x5=100
20%/30=6
Match the solution set of each of the following inequalities with its graph.
Answer:
Step-by-step explanation:
From the picture attached,
Number line Inequality
1). Arrow starting with a solid point from x = -2 x ≤ -2
directing towards negative numbers of x 2).Arrow starting with a hollow circle from x = 2 x >2
directing towards positive numbers of x
3). Arrow starting with a hollow circle from x = 2 x < 2 ⇒ x - 2 < 0
directing towards negative numbers of x
4). Arrow starting with a solid circle from x = 2 x ≥ 2 Or 2 ≤ x
directing towards positive numbers of x
5). Arrow starting with a hollow circle from x = -2 x > -2
directing towards positive numbers of x
Answer:
x ≤ -2x > 2x - 2 < 02 ≤ x-2 < xStep-by-step explanation:
I went by the picture. so the numbers 1-5 is representing the number lines 1-5
I have only 4 questions left
Answer:
Yes
Step-by-step explanation:
I need help on this can someone help