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.
Related Questions
If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.
Answers
Based on the information given the real interest rate is 1.75%.
Using this formula
Real interest rate =Nominal interest rate − Inflation rate
Where:
Nominal interest rate=4.00%
Inflation rate=2.25%
Let plug in the formula
Real interest rate=4.00%-2.25%
Real interest rate=1.75%
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simplify 10^9 divided by 10^7
Answers
Step-by-step explanation:
10^9 ÷ 10^7
10^9-7
10^2
10^2 is the correct answer
Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________
Answers
Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
What is the solution to the equation 5x=6?
Answers
Answer:
6 / 5 ( or ) 1.2
Step-by-step explanation:
5x = 6
x = 6 / 5
( or )
x = 1.2
Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...
Step-by-step explanation:
What is the domain and range?
Answers
Answer:
Domain: {-6, -2, -1, 1, 3, 6}
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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.
for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}
to find the range of a function, it's just like domain but with y-values.
for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}
Need help asap!! :) 2. Solve for x.
Answers
Ok done . Thank to me :>
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
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2x yards
2x+4 yards
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Functions f (solid) and g (dashed) are graphed.
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B. g(x)=-f(x)
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D. g(x)=-f(-x)
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express the radical using the imaginary unit i
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Answer:
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Step-by-step explanation:
Please help :)
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Answers
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more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))
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Answer:
ye
Step-by-step explanation:
4(3q + 10) = 6( 2q - 9 )
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Sorry if wrong
Answer my question 4 u could get 10 points
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Answer:
30
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.
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Answers
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
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15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.
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Answer:
Step-by-step explanation:
(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.
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What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.
Answers
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
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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(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)
bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs
Answer:
10
Step-by-step explanation:
no. of teams=6
no. of players=60
no. of players in each team=60/6=10
0.326
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Answer:
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Answers
Work Shown:
y + 6 = -5(x + 3)
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5x + y = -21
Step-by-step explanation:
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Will I see an uplift in SEO traffic from a domain migration?
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It should be noted that a domain migration will temporarily lead to a loss of traffic but in the long run, the person will see an uplift in SEO traffic.
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Answer:
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Answers
Answer:
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Step-by-step explanation:
This was by accident the first answer is right
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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.
So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.
I hope this helps!
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Answers
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
Given
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#SPJ2
Hello!! :3
Please answer the question below.
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Answers
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer: The final balance is $412.03.
The total compound interest is $52.03.
Step-by-step explanation:
5x/2 - 3x/4 = 10 1/2
how to solve this?
Answers
[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]
[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]
Multiply both sides by 4
[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]
[tex]10x - 3x = 42[/tex]
[tex]7x = 42[/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]
[tex]x = 6[/tex]
