The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.
What is the x-coordinate of this endpoint?
Answer:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
Step-by-step explanation:
We have the two points: (4, -3) and (x, 2).
We know that the distance between them is √39.
To find our x-coordinate of the second point, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:
[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]
Solve for x. First, let's square both sides. This cancels out the square roots:
[tex]39=(x-4)^2+(2+3)^2[/tex]
Evaluate the second term on the right:
[tex]39=(x-4)^2+(5)^2[/tex]
Square:
[tex]39=(x-4)^2+25[/tex]
Subtract 25 from both sides:
[tex]14=(x-4)^2[/tex]
Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:
[tex]x-4=\pm\sqrt{14}[/tex]
Add 4 to both sides:
[tex]x=4\pm\sqrt{14}[/tex]
Therefore, there exists two possibilities for our second point. It can either be:
[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]
And we're done!
write a verbal expression for x + y
2x•(-3x)+5•(2x²)-x•x=
??
Answer:
Step-by-step explanation:
Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.
Answer:
d + 9 = 57
Step-by-step explanation:
Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.
Answer:
Ok simple Algebra Question:
Let "x" be the number of miles she drives.
18.95 + 0.16x = 40.00
Subtract 18.95 from both sides.
0.16x = 21.05
Divide both sides by 0.16
You get:
x = 131.5625
Round to nearest mile:
Answer is: 132
HELP ME PLS
Which of these figures has rotational symmetry?
Answer:
A
Step-by-step explanation:
When you rotate the shape it will be the same as it was before .
a scientist performs an experiment in which he begins with 45.9 grams of reactants. assuming he does not lose any because of spilling of error, what should be the mass of his product at the end of the reaction?
Answer:
45.9 grams of product
Step-by-step explanation:
you should never end up with more products or less products than reactants
If (-8, 3) is reflected across the x-axis the new point would be
Answer:
(-8, -3)
Step-by-step explanation:
Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?
Answer: 20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.
What’s the slope for (15,8) (10,7)
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
Simplify to zero answers.
The shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones. And 999 more vanilla than chocolate cones. What was the total number of ice cream cones sold?
Answer:
46,303
Step-by-step explanation:
12789+9324+9324+1078+12789+999= 46,303
The total number of ice-cream sold was 46,303 as the shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones that means 10,402 peanut butter cones and 999 more vanilla than chocolate cones that means 13,788 vanilla cone.
What is total?Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy something. In mathematics, you add numbers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A total is the sum of several numbers or the number of items in a group, as determined by addition or counting. Total is referred to as the total or overall sum. The final amount for dinner on a check serves as an illustration of a total.
Here,
number of chocolate cone=12,789
number of cookie dough cone=9,324
peanut butter cone=9,324+1,078=10,402
vanilla cone=12,789+999=13,788
Total sum= number of chocolate cone + number of cookie dough cone+ peanut butter cone+ vanilla cone
=12,789+9,324+10,402+13,788
=46,303 ice-cream cones
The shop sold 12,789 chocolate and 9,324 cookie dough cones, for a total of 46,303 scoops of ice cream. It sold 999 more vanilla than chocolate cones, which translates to 13,788 vanilla cones, and 1078 more peanut butter than cookie dough cones, or 10,402 peanut butter cones.
To know more about total,
https://brainly.com/question/14306809?referrer=searchResults
#SPJ2
8.5 x 103 - 5.3 x 103 -1.0 x 102
Suppose we want to choose 6 letters, without replacement, from 12 distinct letters
Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight 24+ lbs 36+ lbs 48+ lbs 60+ lbs 72+ lbs
Dosage 5 mL 7.5 mL 10 mL 12.5 mL 15 mL
a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)
Answer:
The rate of change would be 50
Step-by-step explanation:
The graph with weight is going by 12 in each so an example would be 24 and 36 is going by 12 like the graph. and the dosage is going by 2.5 an example would be 5 and 7.5 witch is going by 2.5
6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)
Answer:
C
Step-by-step explanation:
Hope this helps :)
Brainest pls?
Answer:
answer c I took it got 100%
Part b at the airport to walk from the car to the waiting area by the gate was
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
Round 62394 to the nearest
Answer:
63000 or 62400. Didn't specify whether to the thousandth or hundredth
Solve for p.
p - 9 > 9 or p + 10 = 10
Answer:
I don't think it's suppost to be an equal sign but this is what i got
Reciprocal of 12 1/3
Answer:
3 1/12
Step-by-step explanation:
Twelves reciprocal is 1/12 and 1/3s reciprocal is 3.
Answer:
3/37
is your answer
please mark as the brainliest (ㆁωㆁ)
The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?
Answer: 77 cars
Step-by-step explanation: 6.50 * 77 = 500.5
will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)
Answer:
A is your correct answer
Step-by-step explanation:
Expand -3.5(2-3n): -7+10.5n
=-7+10.5n-2.5n
Add similar elemnts: 10.5n-2.5n=8n
=-7-8n
HEY YOU, YES YOU, PLEASE HELP ME ASAP!!
Round to the nearest ten 218,487=
Answer:
218,490.
-BBBM
218490
In order to finish this, you just round up the 7 to the nearest tenth (up) to 90
Express the shaded area as a fraction, a decimal, and a percent of the whole.
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Fraction :
[tex] \frac{1}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Decimal :
[tex]0.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Percent : 50 %
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.
Answer:
x=0.173
Step-by-step explanation:
First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.
What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m
The quotient of the difference of 5 times x cubed and 4 and x
Answer:
[tex] \frac{5x {}^{3} - 4 }{x} [/tex]
Rearrange the equation A = xy to solve for x.
x equals y over A
x equals A times y over x
x equals A times x over y
x equals A over y
Answer:
X=A/Y
Step-by-step explanation:
just did it