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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.
What is the solution to the equation 5x=6?
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:
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
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
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
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Please help :)
M is the midpoint of segment AT.
Solve for X and AM
5x/2 - 3x/4 = 10 1/2
how to solve this?
[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]
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
Find the magnitude of the following vector: v=15i + 8j
[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]
4(3q + 10) = 6( 2q - 9 )
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.
What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)
Work Shown:
y + 6 = -5(x + 3)
y + 6 = -5x - 15
y + 6 + 5x + 15 = 0
5x + y + 21 = 0
The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.
Answer:
5x + y = -21
Step-by-step explanation:
y + 6 = -5x - 15
5x + y + 6 = -15
5x + y = -21
Will I see an uplift in SEO traffic from a domain migration?
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.
A domain migration simply means the shifting between domains without impairment.
A domain migration will result in a temporary loss of traffic. This is because it needs time for it to be processed and updated. After this is done, there will be an uplift in SEO traffic.
Learn more about migration on:
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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?
Answer:
36 yards
Step-by-step explanation:
10 yards needed minus 30 then add 1 and 3 and you have your answer
0.326
In word form and stranded form please help!!?! I am taking things that are from 4th grade ahh I can't even remember anything from then. please help me word form and stranded form.
Answer:
three hundred twenty six thousandths
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. ____________________
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
Please help asapppppp!!!!!
Answer:
x is 8.2 I think hold on
yeah I think
When you subtract a number, you get the same results as when you add the opposite number. Why?
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!
What is the domain and range?
Answer:
Domain: {-6, -2, -1, 1, 3, 6}
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.
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}
Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.
Answer: The final balance is $412.03.
The total compound interest is $52.03.
Step-by-step explanation:
Answer my question 4 u could get 10 points
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.
A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
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%.
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%
Inconclusion the real interest rate is 1.75%.
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simplify 10^9 divided by 10^7
Step-by-step explanation:
10^9 ÷ 10^7
10^9-7
10^2
10^2 is the correct answer
express the radical using the imaginary unit i
Answer:
27
Step-by-step explanation:
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
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.
2x+2 yards
2x yards
2x+4 yards
1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)
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?
Answer:
10
Step-by-step explanation:
because
60:6=10
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)
bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs
Answer:
10
Step-by-step explanation:
no. of teams=6
no. of players=60
no. of players in each team=60/6=10
Need help asap!! :) 2. Solve for x.
The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)
Answer:
a. (10,10)
Step-by-step explanation:
This was by accident the first answer is right
5/8 ,2/12 ,8/10 least to greatest
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.
Answer:
Step-by-step explanation:
(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.
more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))
Answer:
ye
Step-by-step explanation: