Point B has coordinates (3,2). The x-coordinate of point A is negative 3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
The possible coordinates of point A are
Answers
Answer:
Either A= (-3,10)
OR A= (-3,-6)
Step-by-step explanation:
A = (-3,y) B = (3,2)
(Distance from A to B) = √[(-3-3)²+(y-2)²]=10
√[36+y²-4y+4]=10
√[y²-4y+40]=10
squaring on both sides
y²-4y+40=100
y²-4y-60=0
y²-10y+6y-60=0
y(y-10) + 6 (y-10)=0
(y - 10)(y + 6)=0
Either y=10 =>A= (-3,10)
OR y=-6 =>A= (-3,-6)
Related Questions
PLS help me out ASAP
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—
3
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
5.What type of growth has the human population experienced?
A. expotential
B. linear
C. logistic
D. logarithmic
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You pick a card at random, put it back, and then pick another card at random.
6, 7, 8, 9.
What is the probability of picking a 9 and then picking a number greater than 7?
Write your answer as a percentage.
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Answer:
12.5%
Step-by-step explanation:
There are 4 cards to choose from in the beginning.
Pick 9 out of the 4.
p(9) = 1/4
You put the card back. Now there are again 4 cards.
There are 2 numbers greater than 7: 8 and 9.
p(8 or 9) = 2/4 = 1/2
p(9 then number greater than 7) = 1/4 × 1/2 = 1/8
1/8 = x/100
8x = 100
x = 100/8
x = 12.5%
Answer: 12.5%
Answer:32%
Step-by-step explanation:
Once again, I require assistance.
(Don't just answer for points)
Answers
Practice problem #2 answer: 3,265,600 N
Practice problem #3 answer: not as sure with this one but it should be 100 N
hope i helped :3
#3 (100N)
A bicycle has a listed price of $561.95 before tax. If the sales tax rate is 8.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
?
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Answer:
i will give u formula
Step-by-step explanation:
561.95 divided by 8.5% and whatever that number is add it then round it. have a good day :D
IF YOU HELP ME I WILL GIVE YOU BRAINIEST
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2.9 - 7.6
yes math, i need more character lol
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lets first switch the numbers of the positions :')
7.6
-2.9
———
4.7
Now, since we switched the numbers around. you should absolute value the 4.7
|4.7| = -4.7
hope this helped. try using this method it helps a ton when subtracting decimals!
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answers
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
Please Hurry. I need this answer quickly please.
Answers
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
Three dogs barked all night last night. Lola, Patch, and Lady began barking together at 11:00 p.m. Then, Lola barked every 5 minutes, Patch every 8 minutes, and Lady every 12 minutes. Later that night, Ms. Li was awakened when all 3 dogs barked together again. At what time was Ms. Li awakened?
Answers
Answer:
1:00 a.m. (and 3:00 a.m., and 5:00 a.m.)
Step-by-step explanation:
The problem is to find the least common multiple (LCM) of the barking intervals. One way to find the LCM is to find the product of the factors of the numbers.
... 5 = 5 . . . . a prime number
... 8 = 2³
... 12 = 2²×3
The factor 2³ is a multiple of the factor 2², so we only need 2³ in our final product.
The LCM is then ...
... 2³×3×5 = 120 . . . . minutes
The dogs will all bark together every 120 minutes (2 hours).
2 hours after 11 p.m. is 1 a.m.
_____
The problem statement doesn't say whether Ms. Li was awakened multiple times. The dogs will bark together again at 3 a.m., 5 a.m. and (possibly) 7 a.m.
Answer:
1:00 a.m. (and 3:00 a.m., and 5:00 a.m.)
Step-by-step explanation:
find the least common multiple (LCM) of the barking intervals.
... 5 = 5 . . prime number
... 8 = 2³
... 12 = 2²×3
The factor 2³ is a multiple of the factor 2², so we only need 2³ in our final product.
LCM is then ...
... 2³×3×5 = 120 . . . . minutes
The dogs will all bark together every 120 minutes (2 hours).
2 hours after 11 p.m. is 1 a.m.
Alan launches a ball of clay into the air using a catapult. He calculates its kinetic energy to be 9.0 J. Then he tears it in half and forms a ball that has half the mass. He launches the smaller ball into the air at the same speed. What is the kinetic energy of the smaller ball
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What value of x makes the equation true? 0.25x + .5x 4 3 = 0 + 5 2
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explain/ none
What is the sign of -xy?
Answers
Answer:
Positive
Step-by-step explanation:
Since x > 0 = x is positive
Since y < 0 = y is negative
Product of positive and negative number is negative.
Therefore,
xy = - xy
- (xy) = -( -xy)
- (xy) = xy [since product of negative and negative is positive]
A type of fish your aquarium cost $9 each you can spend no more than $54 how many of these fish can you buy write an inequality to model the problem how many fish can you buy
Answers
Answer:
x=54-9f
6 fish
Step-by-step explanation:
Answer = 6
What is the volume of each figure? Round to the nearest tenth if necessary.
PLEASE HELP I WILL MARK BRAINIEST IF THE BUTTON POPS UP!
Answers
Answer:
C
Step-by-step explanation:
HOPE IT HELPS
Answer:
pretty sure c)
Step-by-step explanation:
GOOD LUCK
help please, and give me tips as well
Answers
A relation is the relationship between two or more set of values.
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
Answers
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
A carpenter bought a piece of wood that was 0.2 meters long. Then she sawed 0.1 meters off the end. How long is the piece of wood now?
Answers
Answer:
0.1m
Step-by-step explanation:
0.2 - 0.1 = 0.1
Answer:
0.1 meters long
Step-by-step explanation:
SALES TAX Apply your knowledge of percentages to solve the problems below. Round answers to the nearest hundredth. 1. How much sales tax will be charged on a good priced at $32.507 2. How much sales tax will be charged on a good priced at $56.00? 3. If a good is priced at $17.00, how much will you pay after tax? 4. If a good is priced at $132.99, how much will you pay after tax? 1
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1) 34.46
2) 59.36
3) 18.02
4) 140.97
let me know if sales tax is different
Solve for x:
-4x – 12 > 36
Answers
Answer:
x<−12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Find all possible values of a such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1.
Answers
Answer:
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)
Step-by-step explanation:
Given quadratic equation:
\(ax^2 + (2a + 2)x + a + 3 = 0\)
To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.
\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)
Comparing the coefficients:
\(a = a\)\(b = (2a + 2)\)\(c = (a + 3)\)Substitute the coefficients into the quadratic formula:
\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)
Simplify the discriminant (the part under the square root sign):
\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)
Factor out 4 from the discriminant:
\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)
Therefore:
\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)
Factor out the common term 2:
\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)
Therefore, the two solutions are:
\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)
As both solutions have "a" as their denominator, a ≠ 0.
Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.
Now we have found expressions for the two roots, we can set the distance between them to greater than 1:
\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)
\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)
Simplify:
\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)
\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)
\(-\sqrt{8} < a+2 < \sqrt{8}\)
Therefore:
\(-\sqrt{8} -2 < a < \sqrt{8}-2\)
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)
So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:
\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)
Evaluate the expression when x=20 and y=4.
8y−x =
Answers
Answer:
12
Step-by-step explanation:
You literally have x and y, just plug them into the equation. It will be 8(4)-20=12
Answer:
12
Step-by-step explanation:
Please help this is the easiest question ever.
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16/25 (5/3)^4 I don't get this AT ALL please help!!!
Answers
Answer:
400/ 81
Step-by-step explanation:
16/25 × (5/3)^4
16/25 × (625/ 81)
10000/ 2025
400/81
What is the perimeter of the rectangle?
Answers
Answer:
12
Step-by-step explanation:
Opposite sides of a rectangle share the same side measurements (based on the definition of a rectangle). This means that the perimeter is found as:
P(perimeter)= 2l + 2w
Let:
length (l) = 4
width (w) = 2
Plug in the corresponding numbers tot eh corresponding variables:
P = 2(l) + 2(w)
P = 2(4) + 2(2)
Simplify. First, multiply, then add:
P = (2 * 4) + (2 * 2)
P = (8) + (4)
P = 12
12 will be your perimeter.
~
Check. Since it is given that it is a rectangle, by definition of a rectangle, you will know that opposite sides are congruent, and therefore share the same measurements.
P = 2 + 2 + 4 + 4
P = (4) + (8)
P = 12
12 will be your perimeter.
~
Learn more on how to solve for perimeters of rectangles, here:
https://brainly.com/question/15401834
Step by step explanation:
Perimeter = 2l + 2w
Length= 4
Width=2
4x2=8
2x2=4
8+4=12
Perimeter=12
Find the area if the radius is 7 in (Round to the nearest tenth).
Answers
Answer:
144 cm squared
Step-by-step explanation:
Answer:
it is 153.9 inches squared
Step-by-step explanation:
List the values shown on the number line
Answers
Answer:
-4, -2.8, 0.5, 1.3, 3
Step-by-step explanation:
Answer:
-4, -2.8, 0.5, 3.1
Step-by-step explanation:
Henry’s baseball team needs new equipment each new baseball will cost 5.50$ And each new bat will cost 14.95 how much will the team spend if they buy 8 new baseballs and 2 new bats
Answers
Answer:
73.9
Step-by-step explanation:
multiply 5.50 by 8 and 14.95 by 2
EDIT: then add the products together