Answer:
2.05 mi
Step-by-step explanation:
I don't see a figure, so I am guessing that the plane is 1.7 miles above the ground.
Let x = distance of observer 1 from that point
y = distance of observer 2 from that point
Tan 48 = 1.7/x and tan 73 = 1.7/y
x tan 48 = 1.7 y tan 73 = 1.7
x = 1.7/tan 48 y = 1.7/tan 73
x + y = distance between the observers
x + y = 1.7/tan 48 + 1.7/tan 73
= 2.05 mi
FUDGEE help pleasee
. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equation below. x^2 + 10x + 21 = 0 x = 3; x = -7 x = -3; x = -7 x = 3; x = 7 x = -3; x = 7
Answer:
x= -7 and x= -3
Step-by-step explanation:
(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)
x= -7 and x= -3
Answer:
x = −3 or x = −7
Step-by-step explanation:
Let's solve your equation step-by-step.
x^2 + 10x + 21 = 0
Step 1: Factor left side of equation.
(x+3) (x+7) = 0
Step 2: Set factors equal to 0.
x + 3 = 0 or x + 7 = 0
x = −3 or x = −7
I hope this helps you with your assignment and have a fantastic day! :D
Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone tower equidistant from the other three, and write an equation for the circle.
Answer:
The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].
Step-by-step explanation:
The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:
[tex]x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Circunference constants.
Given the number of variable, we need the location of three distinct points:
[tex](x_{1},y_{1}) = (6,0)[/tex]
[tex]36 +6\cdot A + C = 0[/tex]
[tex](x_{2},y_{2}) = (8,4)[/tex]
[tex]80 + 8\cdot A + 4\cdot B + C = 0[/tex]
[tex](x_{3},y_{3}) = (3,9)[/tex]
[tex]90 + 3\cdot A + 9\cdot B + C = 0[/tex]
Then, we have the following system of linear equations:
[tex]6\cdot A + C = -36[/tex] (2)
[tex]8\cdot A +4\cdot B + C = -80[/tex] (3)
[tex]3\cdot A + 9\cdot B + C = -90[/tex] (4)
The solution of this system is:
[tex]A = -6[/tex], [tex]B = -8[/tex], [tex]C = 0[/tex]
By comparing the general form with the standard form of the equation of the circunference is:
[tex]A = -2\cdot h[/tex] (5)
[tex]B = -2\cdot k[/tex] (6)
[tex]C = h^{2}+k^{2}-r^{2}[/tex] (7)
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
If we know that [tex]A = -6[/tex], [tex]B = -8[/tex] and [tex]C = 0[/tex], then coordinates of the center of the circle and its radius are, respectively:
[tex]h = -\frac{A}{2}[/tex]
[tex]k = -\frac{B}{2}[/tex]
[tex]r = \sqrt{h^{2}+k^{2}-C}[/tex]
[tex]h = 3[/tex], [tex]k = 4[/tex], [tex]r = 5[/tex]
The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].
Simplify the expression.
-21k - 3 + 4 - 7k
Step-by-step explanation:
I hope it is helpful to you
A rectangle has an area represented by x^2 - 4x - 12 square feet. If the length is x + 2 feet, what is the width of the rectangle?
Answer: Since x2=6, the width of the rectangle is x-6.
Explanation: factor x^2-4x-12.
given that length=x+2 and area of rectangle = length * width
all you have to do is find the width
there are several way to do this, here is one:
Since one factor of x^2-4x-12 is x+2, x1=-2 is a solution to x62-4x-12=0 so in order to find the other solution, you can use the sum and product properties.
x1*x2= -12 with x1=-2, so x2=6.
Since x2=6, the width of the rectangle is x-6.
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
if a rectangle has a area of 36x^3+24x^2-18x and the width is 6x what is the length
Answer:
[tex] lenght= 6 {x}^{2} + 4x - 3[/tex]
Step-by-step explanation:
[tex]lenght = \frac{area}{width} \\ \\ = \frac{36 {x}^{3} + 24 {x}^{2} - 18x }{6x} \\ \\ = \frac{6x(6 {x}^{2} + 4x - 3) }{6x} \\ \\ lenght= 6 {x}^{2} + 4x - 3[/tex]
What is 3.00 - 2.50 explain your work
Answer:
0.5
Step-by-step explanation:
Subtract 2.5 from 3
Someone help me ASAP I really need this
Answer: reflection
Translation
Rotation
Rotation
Step-by-step explanation:
Option A
Option B
Option C
Option D
Answer:
It's B
... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2
-6xy and 2xy are like terms
What is the cubed root of 64 in exponential form?
[tex] \sqrt[3]{64} [/tex]
Answer:
Step-by-step explanation:
64^(1/3) in English it is 64 to the one third power
What’s the slope? I need help pls
Answer:
The slope is -2/-3
Step-by-step explanation:
Look at the X-axis and go up to the point
Answer:
4/-2
Four over -2
Is your slope.
Your y-intercept is -1
Step-by-step explanation:
7th grade math
plz help asap
the picture is attached
10 POINTS
Answer:
1. A, C, and E
2. 13.5
3. -3
4. $3.39
5. 9 1/4 miles
Step-by-step explanation:
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
Can someone help me pls :(
Answer:
30x-10
Step-by-step explanation:
6(5x−2)+2
Distribute:
=(6)(5x)+(6)(−2)+2
=30x+−12+2
Combine Like Terms:
=30x+−12+2
=(30x)+(−12+2)
=30x+−10
Answer:
=30x−10
what is the slope....
Answer: 2
Step-by-step explanation:
Choose left most point
count up to the horizontal line where the 2nd point is-- up 4
count over to the point -- right 2
slope is rise/ run
4/2 = 2
DO,-2(x, y)(3, 5). The point (x, y) is (1, 3) (-3/2, -5/2) (-6, -10)
Answer: -6, -10.
The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.
The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have:
-2(x, y) → (3, 5)
The coordinate (x, y) changes after multiplication by factor 2
New coordinate = (3, 5)
-2x = 3
x = -3/2
-2y = 5
y = -5/2
Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
Learn more about the ordered double here:
https://brainly.com/question/10757890
#SPJ2
Ms. F needs you to walk her dogs Ella and Aries. She will pay you $10 for each time you take Ella and Aries out for a walk. The relationship between the money you make and the number of times you take the dogs out can be expressed as E = 10w, where E is your earnings and w is the amount of times you take Ella and Aries out. If you take the dogs out once every day for a week (7 days), how much money will you make?
Answer: $70/week
Step-by-step explanation:
E = 10w
w = 7 (1 time per day for 7 days = 7)
E = 10(7)
E = $70/week
The volume of a cylinder with radius r and height h is:
Answer:
B I think
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
Volume = π x r^2 x h
Hope that helps!
-Sabrina
g(n) = 20(x+15) What is g(10)?
Answer:
500
Step-by-step explanation:
g (10) = 20(x+15)
= 20 (10+15)
= 20 (25)
= 500
Please answer with steps
9514 1404 393
Answer:
n = 99
Step-by-step explanation:
The sum of logarithms is the log of a product. Here, the sum of terms is ...
log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)
= log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)
So, the question reduces to ...
log(n+1) = 2
Taking antilogs, we have ...
n +1 = 10^2 = 100
n = 99
The value of n that makes the sum 2 is 99.
find an ordered pair of 5x + y = 3
Answer:
Step-by-step explanation:
Find an ordered pair that satisfies the equation 5x + y = 3.
There are infinitely many ordered pairs that satisfy this equation.
If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).
If we were to choose x = 1, then 5(1) + y = 3, or y = -2. The ordered pair would be (1, -2).
And so on.
Solve the system of linear equations.
Check your solution, if possible.
2x + 3y = 5
2x + 3y = 7
Answer:
there is no solution, meaning the lines would be parallel
Step-by-step explanation:
i hope this helps :)
6x-3=3x+12
solve for x
Answer:
the answer is x=5
Step-by-step explanation:
hoped I helped:)
Answer:
x = 5
Step-by-step explanation:
6(5) - 3 = 3(5) + 12
30 - 3 = 15 + 12
27 = 27
Find the midpoint of the line segment with end coordinates of:
(−4,8) and (4,−2)
Answer:
(0, 3 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (4, - 2) , then
midpoint = ( [tex]\frac{-4+4}{2}[/tex], [tex]\frac{8-2}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (0, 3 )
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.
It is spun twice.
What is the probability of getting red both times?
Answer:
9/81
Step-by-step explanation:
Too long for me to explain it
Identify The missing angle
Can you show ur work how u did it?
Answer:
x = 38°
Step-by-step explanation:
in the given question,
the two angles are complementary, because sum of their measures = 90°
so,
=》52° + x = 90°
=》x = 90° - 52°
=》x = 38°
Answer:
x = 38
Step-by-step explanation:
I first took the measure of a right angle (90 degrees) Then, I subtracted 52 degrees from 90. After that I added 52 and 38 to check. The answer was 38.
10. A freight train leaves a station and travels at a rate of 30 miles per hour. Two hours later, an express train leaves
the same station traveling in the same direction at a rate of 50 miles per hour. In how many hours will the express train
overtake the freight train?
Answer:
4 hours
Step-by-step explanation:
We can already assume that the freight train is 60 miles ahead of the express. If the freight is going at a constant of 30 mph and the express goes 50 mph then we can say that when the freight train has been gone for 6 and the express for 4 the express will have passed the freight. The reason as to why would be that 60 + 120 = 180 or 60 + (30 x 4) = 180 and 50 x 4 = 200 .
Sorry if that explanation doesn't make sense but I hope this helped.
Give the product in simplest form:
Answer:
5 15/48
Step-by-step explanation:
5 times 3 is 15, 8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48
A ball is thrown up in the air from 5 feet above the ground level. The ball reached a height of an additional 6 feet in approximately 4 seconds, and then came
down back to ground level in 5 more seconds. Which graph best represents the relationship between the height of the ball and the time?
Answer:it’s F
Step-by-step explanation:
It’s F
Help!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation: