5. The distance between two given points (5,2) and (x,5) is 5 units. Find the possible values of x. *
Answers
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Explanation:
We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.
We're given that d = 5
The first point is [tex](x_1,y_1) = (5,2)[/tex] and the second point has coordinates of [tex](x_2,y_2) = (x,5)[/tex] where x is some real number.
We'll plug all this into the distance formula and solve for x.
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\[/tex]
This means that if we had these three points
A = (5, 2)B = (1, 5)C = (9, 5)Then segments AB and AC are each 5 units long.
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Answer:
x is 8.2 I think hold on
yeah I think
What is the solution to the equation 5x=6?
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Answer:
6 / 5 ( or ) 1.2
Step-by-step explanation:
5x = 6
x = 6 / 5
( or )
x = 1.2
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Step-by-step explanation:
A sports tournament has 6 teams. Each team has the same number of players. There are 60 players total. How many players does each team have?
Answers
Answer:
10
Step-by-step explanation:
because
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every team has the same number of players
(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)
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Step-by-step explanation:
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Sorry if wrong
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Answer:
ye
Step-by-step explanation:
Answer my question 4 u could get 10 points
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Answer:
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Step-by-step explanation:
Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
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Answer:
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Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)
Answers
Work Shown:
y + 6 = -5(x + 3)
y + 6 = -5x - 15
y + 6 + 5x + 15 = 0
5x + y + 21 = 0
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Answer:
5x + y = -21
Step-by-step explanation:
y + 6 = -5x - 15
5x + y + 6 = -15
5x + y = -21
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Answers
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
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5/8 = 0.625
8/10 = 0.80
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Answers
Answer:
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Range: {-6, -2, -1, 0, 3}
Step-by-step explanation:
to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.
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Need help asap!! :) 2. Solve for x.
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Ok done . Thank to me :>
When you subtract a number, you get the same results as when you add the opposite number. Why?
Answers
Answer:
Step-by-step explanation:
Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.
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Functions f (solid) and g (dashed) are graphed.
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C. g(x)=f(-x)
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Hello!! :3
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
10^9 ÷ 10^7
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Answer:
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What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
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Answers
Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
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Answer:
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This was by accident the first answer is right
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Based on the information given the real interest rate is 1.75%.
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Answers
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A football team has a net yardage of −30 1 3 yards on a series of plays. The team needs a net yardage of 10 yards to get a first down. How many yards do they have to get on their next play to get a first down?
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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express the radical using the imaginary unit i
Answers
Answer:
27
Step-by-step explanation:
Please help :)
M is the midpoint of segment AT.
Solve for X and AM
Answers
So AM = TM
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<=> 2x = 4 <=> x = 2
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Ok done. Thank to me :>
Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.
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Answers
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
