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klasskru [66]
3 years ago
15

What is the solution to the system of equations 8x-10y=-23 and 9x+10y=-16

Mathematics
1 answer:
sammy [17]3 years ago
3 0
8x-10y=-23
9x+10y=-16
(8x+9x)+(10y-10y)=(-23+(-16))
17x+0y=-39
x=-39/17
8(-39/17)-10y=-23
-312/17-10y=-23
-10y=-23+312/17
-10y=-79/17
y=79/170
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HELP
Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

{x}^{2}  +  {y}^{2}  =  {50}^{2}

{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

  • x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

  • y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

  • y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

  • The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

#SPJ1

5 0
2 years ago
Which point is one the graph of f(x) = 2 * 5^x?
marusya05 [52]

Answer:

(0,2)

Step-by-step explanation:

I'm going to assume you meant Which point is ON the graph of f(x) = 2 * 5^x?

In order to do this question, all you need to do is pick any number as x. Lets pick 0 in this case.

f(x) = 2 * 5^x

f(0) = 2*5^0

= 2*1

= 2

So one point on the graph would be (0,2)

Why?

Because remember with functions, the f(x) can be swapped out with y, so when x = 0, y = 2.

7 0
2 years ago
PLEASE HELP FAST simplify: sqrt 8 + 2 sqrt 15
Ket [755]

Answer:

2\sqrt{2} + 2\sqrt{15}

Step-by-step explanation:

\sqrt{8} = \sqrt{4}\sqrt{2} = 2\sqrt{2}

7 0
2 years ago
Enter a range of values of x
igomit [66]

Answer:

-5.

Step-by-step explanation:

We know that if two corresponding sides of two triangles are equal, then third sides of the triangles depend on angle between equal sides.

Angle opposite to larger side is larger.

Since, 14 < 15, therefore

2x+10

2x

2x

x          ...(1)

We know that, angle can not not negative.

2x+10>0

2x>-10

x>-5        ...(2)

From (1) and (2), we get

-5

Therefore, the range of values of x is -5.

4 0
3 years ago
In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun c
sweet [91]

Answer:

round answer is : 10 ft

Step-by-step explanation:

The explanation is in the picture!

5 0
2 years ago
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