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3 years ago

What is 6x(-496)=19x12

Mathematics

1 answer:

vichka [17]3 years ago

4 0

Answer:

-19/248

Step-by-step explanation:

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A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c

Lelu [443]

Answer:

$(x+8)^2 +(y-4)^2 = 25$

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

$(x-h)^2 +(y-k)^2 = r^2$

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this: $(x+8)^2 +(y-4)^2 = r^2$

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for $r^2$

$(-4+8)^2 +(7-4)^2 =25= r^2$

So then $r = \sqrt{25}=5$

And if we replace the second point we got this:

$(-13+8)^2 +(4-4)^2 = 25 =r^2$

And for the third point we have:

$(-8+8)^2 +(-1-4)^2 = 25 =r^2$

And we got the same result.

So then our final equation is given:

$(x+8)^2 +(y-4)^2 = 25$

4 0

4 years ago

You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Write an inequality to determine how many miles you c

BARSIC [14]

Answer: Maximum 6 miles

Step-by-step explanation: In total you have $20.

Base fare of taxi is $5.

Per mile cost is $2.50.

Your total cost is where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:

To find how many miles we can write, let's solve the inequality:

This means 6 is the maximum number of miles you can ride with $20.

4 0

3 years ago

Solve each quadratic equation by factoring with grouping. 5v2 – 18v = -9

djyliett [7]

Answer:

v = 3 , 3/5

Step-by-step explanation:

$5 {v}^{2} - 18v + 9 = 0 \\ 5 {v}^{2} - 3v - 15v + 9 = 0 \\ v(5v - 3) - 3(5v - 3) = 0 \\ (5v - 3)(v - 3) = 0 \\ v = 3 \\ v = \frac{3}{5}$