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creativ13 [48]
3 years ago
13

Right triangle similarity. what is the value of a?

Mathematics
1 answer:
kramer3 years ago
4 0

Answer:

I'd say that a is 6 2/3 units long

Step-by-step explanation:

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6) A boat traveled 80 miles downstream and back. The trip downstream took 5 hours. The trip back took
Svetradugi [14.3K]

Answer:

  • 12 mph and 4 mph

Step-by-step explanation:

  • Let the speed of the boat = b and the speed of the current = c

<u>Equations to reflect time, time = distance/speed:</u>

  • Downstream
  • 80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16
  • Upstream
  • 80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8

<u>Sum of the 2 equations above</u>

  • b + c  + b - c = 16 + 8
  • 2b = 24
  • b = 12
  • c = 16 - 12 = 4

So the speed of the boat is 12 mph

The speed of the current is 4 mph

4 0
3 years ago
Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)
Rzqust [24]

Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the domain and range of the function for f(x)=(x-9)^2-29​

we have

f(x)=(x-9)^2-29​

This is a vertical parabola, open upward

The vertex represent a minimum

The vertex of the parabola is the point (9,-29)

The domain is all real numbers

The range is the interval {-29, infinite)

y\ge-29

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

In this problem

axis of symmetry is x=9

<h2 />
5 0
1 year ago
What is the common difference between successive terms in the sequence​
Lelechka [254]

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

4 0
4 years ago
Find the values of x and y that satisfy the equation.<br><br> 4x+2i=8+yi<br> x= <br> and y=
stiks02 [169]

Answer:

The values of x and y that satisfy the equation are 2 and 2, respectively.

Step-by-step explanation:

Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:

Real component

4\cdot x = 8 (1)

Imaginary component

2 = y (2)

The solution of this system of equations is x = 2 and y = 2.

The values of x and y that satisfy the equation are 2 and 2, respectively.

5 0
3 years ago
Urgent!!! Please someone help me.
Alchen [17]
Im pretty sure the answer is the second one
4 0
3 years ago
Read 2 more answers
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