Given (12,8) and (x,−4), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
Answers
17 and 7 are the possible values of x that makes up the missing y-value of the coordinates.
What is the numerical value of x?
The distanceformula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1( 12,8 )
- x₁ = 12
- y₁ = 8
Point 2( x,−4 )
- x₂ = x
- y₂ = -4
- Distance D = 13
Plug the given values into the distance formula and solve for x.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
13 = √( ( x - 12 )² + ( -4 - 8 )² )
13 = √( ( x - 12 )² + ( -12 )² )
Take the square of both sides
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + ( -12 )²
13² = ( x - 12 )² + 114
( x - 12 )² + 114 = 169
( x - 12 )² = 169 - 114
( x - 12 )² = 25
Take the square root of both sides
x - 12 = ±√25
x - 12 = ±5
x = 12+5, x = 12-5
x = 17, x = 7
Therefore, the possible values of x are 7 and 17.
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Answers
Answer:
105%.
Step-by-step explanation:
We are asked to convert 1.05 to a percent.
To convert a decimal to percent, we simply multiply the decimal number by 100 and add a percentage sign.
Let us multiply 1.05 by 100.
Therefore, 1.05 as a percent would be 105%.
1.05 to percentage is 105%
What is percentage?
Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
For example, 50% is written as 50/100 which is equal to 1/2 = 0.5 , Also 0.5 to percentage is obtained by multiplying 100 × 0.5 which is 50%
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Similarly, 1.05 to percentage is
1.05 × 100
= 105%
therefore 1.05 is equivalent to 105 %
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Please help fast thankyou
Answers
Answer:
x = 2
Step-by-step explanation:
5x + 3= x + 11
5x - x = 11 - 3
4x = 8
x = 2
Answers
Answer:
10 for 8.49
Step-by-step explanation:
With the 6 for 5.40 each taco is 90 cents. With 10 for 8.49 each taco is Around 85 cents.
Answer:
The 6 taco deal is better
Step-by-step explanation:
The 6 taco pack is a better deal. This is because the 10-pack has a unit rate of about $8.00 per taco, and the 6-pack has a unit rate of about $5.00 per taco.
Answers
Area of prism = base area × altitude
1. (2x²-10)(x+4)
= 3x³-2x - 40
2. Base area = 2πr
Volume = (2πr)(r²+ 5r)
=2πr³ + 10πr²
3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)
Volume= 3(x-4)(x+3)(⅓)
=(x-4)(x+3)= x² - x -12
4. Base circumference= 10π
Base radius = 10π/(2π) = 5
Base area = πr² = 25π
Volume = 25π(3x²-2x)
=125πx²-50πx
5. Volume = 3π√50
=15π√2
6. Base diameter = 16
Base radius = 16/2 = 8
Base area = 2πr = 16π
Volume = 16π(23a²)
=368πa²
Answers
Answer: B,C,D
Step-by-step explanation:
Its simple
Answers
Final answer:
To increase a given amount by 22%, you should multiply the original amount by 1.22. This conversion results from adding the 22% increase to the 100% of the original amount, thus totaling 122%, or 1.22 when expressed in decimal form.
Explanation:
To increase an amount by 22%, you should multiply the original amount by 1.22. This is because the original amount is considered 100%, or 1 when we talk in decimal terms. To find a 22% increase, you add this percentage to the 100% of the original, making a total of 122%, which translates to multiplying by 1.22 in decimal.
For instance, if you have a value of 50 and you want to increase it by 22%, you multiply 50 by 1.22 (50*1.22 = 61). Therefore, a 22% increase of 50 is 61.
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