Answer:
The possible coordinates of point A are (-8,-4) or (-8,6)
Step-by-step explanation:
The distance between two points is given by the formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
For point A [tex](x_{1} , y_{1})[/tex]; [tex]x_{1}= -8[/tex] and [tex]y_{1}[/tex] is unknown
For point B [tex](x_{2} , y_{2})[/tex]; (4,1) i.e [tex]x_{2}=4[/tex] and [tex]y_{2}=1[/tex]
and d = 13
Putting the values into the equation,
[tex]13= \sqrt{[(4-(-8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{[(4+8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{12^{2} + (1-y_{1})^{2} }\\13^{2} = 12^{2} + (1-y_{1})^{2} \\169 = 144 +(1-y_{1})^{2}\\169-144 = (1-y_{1})^{2}\\25 = 1 -2y_{1} +y_{1}^{2} \\y_{1}^{2} -2y_{1}+1-25 =0\\y_{1}^{2} -2y_{1}-24 =0\\y_{1}^{2} -6y_{1} + 4y_{1} -24 =0 \\y_{1}(y_{1}-6) +4(y_{1} -6) = 0\\(y_{1}+4)(y_{1}-6) =0\\(y_{1}+4)=0 or (y_{1}-6) =0[/tex]
[tex]y_{1}+4= 0[/tex] or [tex]y_{1}-6 =0[/tex]
[tex]y_{1} =-4[/tex] or [tex]y_{1} = 6[/tex]
Hence, the possible coordinates of point A are (-8,-4) or (-8,6)
Two playful kittens working together can unwind all the balls of yarn in a basket 9
minutes faster than if the first kitten is working alone, and 4 minutes faster than if the
second kitten is working alone. How long does it take each kitten to unwind all the
balls of yarn alone?
Answer:
The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes
The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes
Step-by-step explanation:
The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone
The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone
Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;
x = t + 9
y = t + 4
The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)
The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)
The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;
t/(t + 9) + t/(t + 4) = 1
(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1
Using a graphing calculator, we have;
(2·t²+13·t)/(t² + 13·t + 36) = 1
∴ (2·t² + 13·t) = (t² + 13·t + 36)
(2·t² + 13·t) - (t² + 13·t + 36) = 0
t² - 36 = 0
t = √36 = 6
t = 6
x = t + 9 = 6 + 9 = 15
The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes
y = t + 4 = 6 + 4 = 10
The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes
Answer:
15 and 10 are correct
Step-by-step explanation:
question is attached
okay here you goo
Answer:
are you in a rush or can i do it in like 5 mins
Help ASAP! Use the graph to answer the question
Answer:second 1
Step-by-step explanation:
Answer:
The blue line models the data points better than the red line. It is because the data points are all close to the line.
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature.
What was the temperature:
1 hour ago? degrees
3 hours ago? degrees
Answer:
Step-by-step explanation:
hola my friend
Which value is a solution to the inequality x < 4
Answer:
3, 2, 1, 0, literally anything below 4
Step-by-step explanation:
The "mouth" < or > eats the bigger number, if 4 is bigger than x, x must be smaller than 4
A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
50 m
Answer:
157.1 m
Step-by-step explanation:
Here, we want to calculate the length of the semi-circle
This simply refers to the circumference of the semi-circle
Mathematically, the circumference is half that of a full circle
The circumference of a full circle is;
C = pi * d
For half circle or semi-circle;
It is ;
C = (pi * d)/2
D = 50 m
The circumference is thus;
C = 50 * 3.142
C = 157.1 m
10 Points for Answering Find x: 6x-8= 1/2 (4x+5)
Answer:
1
Combine multiplied terms into a single fraction
6−8=12(4+5)
6−8=1(4+5)2
2
Multiply by 1
6−8=1(4+5)2
6−8=4+52
3
Add
8
888
to both sides of the equation
6−8=4+52
6−8+8=4+52+8
10 more steps
Solution
=21/8
Step-by-step explanation:
your friends show you a coin collection .in it 45/50 of the coins are quarters.what percent of the coins are quarter
Answer:
90%
Step-by-step explanation:
45 : 50
45 / 50 = 0.9
0.9 x 100 = 90
Answer: 20%
Step-by-step explanation: i learned this in mexico class
twelve times twelf equals
1212
Step-by-step explanation:
144
° • .°• ✯
° • .°• ✯ ★ * ° °·
° • .°• ✯ ★ * ° °· . • ° ★ • ☄
° • .°• ✯ ★ * ° °· . • ° ★ • ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂
Answer:144
Step-by-step explanation:
Khan academy question
Answer:
56.25
Step-by-step explanation:
cos-1(5/9)
cos the angle=adjacent ÷hypotynous
Did you sleep with a comfort object as a child? Do you still? No
need to stuff that teddy bear from your infant years in your closet the
next time you have a guest over—the odds are good that he or she has
a comfort object, too. A study conducted by Sleepopolis and
OnePoll reported that 34% of adults still sleep with a stuffed animal,
blanket, or other sentimental object, according to a survey of a random
sample of 100 adults. A similar study, based on a random sample of 80
children reports that 75% of children sleep with a comfort object.
Do these data provide convincing evidence that the proportion of adults
who sleep with a comfort object is less than the proportion of children
who sleep with a comfort object? Justify your answe
Answer:
depends how random it was, it could vary between countries and stuff. but lets say its random between ethnicities. I think it doesn't really have enough people to be sure, I would say a thousand and not 100, but that's just me.
What is the slope of the line in the
graph?
the slope is a positive one.
the equation would be y = x + 1
Answer:
y = x + 1
Step-by-step explanation:
x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.
The line crosses the y axis on 1, making it the y-intercept.
Expand and simplify (x + 5)(x - 2)
Answer: *x squred +3x-10*
Step-by-step explanation:
(x+5)(x-2)
x squred-2x+5x-10
x squred +3x-10
The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be = A
Now , the equation A = ( x + 5 ) ( x - 2 )
On simplifying the equation , we get
A = x ( x - 2 ) + 5 ( x - 2 )
Expanding the brackets , we get
A = x² - 2x + 5x - 10
On simplifying the equation , we get
A = x² + 3x - 10
Therefore , the value of A is x² + 3x - 10
Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10
To learn more about equations click :
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Write an equation of the line that passes through the given points.
(-6,8) and (1,0)
Answer:
y=-8/7x+8/7
Step-by-step explanation:
Please help!!
"simplify the expression
write your answer using a positive exponent"
(3/7)^-6 x (3/7)^-1%(3/7)^-3
Answer:
2067.62052882
Step-by-step explanation:
Do you need to round? let me know :)
What is X...
What is Y....
Answer:
x = 110
y = 40
Step-by-step explanation:
m∡5 = 30° because it forms a linear pair with ∡6, which is 150°
x + y = 150 (angles 4 and 6 are alternate-interior and are congruent)
angles 3 and 6 are same-side interior and are supplementary
therefore: x -2y = 180-150
if x + y = 150 we can say that x = 150 - y
we can plug '150-y' for 'x' in x - 2y = 30
150-y - 2y = 30
-3y = -120
y = 40
x = 110
60 POINTS!! PLEASE HELP ASAP 4. Which statement is true about air pressure?
a. Changes in air pressure keep temperatures constant
b. Air pressure does not change with density
c. Air pressure is lower at the ground and higher as elevation increases
d. A higher temperature causes greater air pressure
Answer:
a. Changes in air pressure keep temperatures constant
Step-by-step explanation:
Hope it helps,
Pls mark me as the brainliest
Thank you
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
26.42139285
Step-by-step explanation:
26x26 + 4.7x4.7 = c2
676 + 22.9 =c2
698.09=c2
square root of 698.09=26.42139285
26.42139285 = c
Mhanifa please c:
1) A principle of $300 was deposited in a savings account that pays 3.5 interest compounded yearly. Find the balance after 5 years.
2) UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound, and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?
Answer:
Step-by-step explanation:
300×1.035⁵ ≅ $356.31
:::::
UPS charge = 7 + (p-1)0.20 = 0.20p +6.80
FedEx charge = 5 + (p-1)0.30 = 0.30p + 4.70
0.30p + 4.70 = 0.20p +6.80
0.10p = 2.1
p = 21
They charge the same for 21 pounds.
Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
Answer:
40 seconds
Step-by-step explanation:
8 20
16 40
32
40
40 seconds
It will take 40seconds to both the lights to flash at the same time again.
What is Least common multiple?" Least common multiple is defined as the smallest common multiple of the given set of numbers."
According to the question,
Given ,
Time to flash Light A is every 8 seconds.
Time to flash Light B is every 20 seconds.
Condition given
Both the lights flash at the same time
Least common multiple (8, 20) = 40seconds
Light A flashes in
8seconds , 16seconds , 24seconds , 32seconds, 40seconds
Light B flashes in
20seconds , 40seconds
Hence, both the light flashes at the same time again is at 40seconds.
Learn more about least common multiple here
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What is the value of x?
Answer:
98°
Step-by-step explanation:
x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 98°
Can u pls help me with this question
Answer:
20.5 ounces
Step-by-step explanation:
11.5+2.25s=?
11.5+2.25(4)=
I don’t get this help thx
Factor the expression.
7x+42
Answer:
7(x+6)
Step-by-step explanation:
hope it helps :)
2. True or False: According to financial experts, a renter should allow no more than 30%
of their gross income for rent.
Anciner:
Answer:
False
Step-by-step explanation:
I need help due in a Hour PLZ HURRY
Answer:
circumference=πd=6πcm
circumference of dark arc =(360-120)/360×πd=
240/360×6π=4π is the required answer
While sorting some change into piggy banks, Gabby put 58 coins in the first piggy bank, 78 coins in the second piggy bank, 98 coins in the third piggy bank, and 118 coins in the fourth piggy bank. What kind of sequence is this?
arithmetic or geometric
Answer: Arithmetic (increasing by constant rate of 20)
Step-by-step explanation:
Arithmetic means the difference between two consecutive terms is constant which it is in this case because it constantly increases by a value of 20.
Geometric means the sequence is changing by a constant ratio or factor
i need this
ctugkvhjkibnlbk;vhiglcufxoryifcuglvihk;b j;hviglucforxiy6eryfcuglvhk
Answer:
11(7 + 4) = 11 × 7 + 11 × 4
Step-by-step explanation:
11(7 + 4) = _ x 7 + 11 x _
use distributive property:
11(7 + 4) = 7 x 11 + 7 x 11
Answer:
11 * 7 + 11 * 4
Step-by-step explanation:
given 11(7+4)
we need to use distributive property
To do so we multiply 11 by whats inside of the parenthesis
so 11(7+4) is equivalent to 11 * 7 + 11 * 4
Which is a zero of the function f(x) = 2x – 6?
2
-3
-6
3
Answer and explanation:
The answer is actually -3. We already know f(x)/y is equal to 0, so the equation is then simplified to 0 = 2x - 6. You do inverse operation, so then -6 = 2x. Then -6 divided by 2 is -3. So -3 = x. Therefore, the zero of the function f(x) = 2x – 6 is -3.
3 x 8/4 ?????????????//////
Answer:
6
Step-by-step explanation:
8/4 = 2 so 3*2=6