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Mila [183]
3 years ago
7

Select one: a. 4 b.5 c. 6 d. 7

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given 2 secants intersect a circle from a point outside the circle, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

x(x + 10 + x) = 6(6 + 10 + x)

x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides

2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides

2x² + 4x - 96 = 0 ← in standard form

Divide through by 2

x² + 2x - 48 = 0 ← factor the left side

(x + 8)(x - 6) = 0

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

However x > 0 ⇒ x = 6 → C

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5 0
2 years ago
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a
madam [21]

Answer:

The temperature of the weather station was 3 degrees Celcius an hour earlier.

Step-by-step explanation:

We can say that the weather an hour ago should be represented with the variable - x.

From the problem, we know that the temperature of the station falls at a rate of -3 degrees per hour. This means that for every hour, the temperature of the place will go down by about 3 degrees Celsius.

If the temperature of the weather station is currently 0 degrees Celsius, to find its temperature an hour earlier, it means that we will need to add 3 degrees to its current temperature, because that is what must have lost in one hour.

i.e x = 0 + 3 = 3 degrees Celcius.

This means that the temperature of the weather station was 3 degrees Celcius an hour earlier.

5 0
3 years ago
What is 3 to the power of 10 times 3 to the power of 10 equal?
prohojiy [21]

Answer:

1,000,000

Step-by-step explanation:

10^3*10^3

5 0
2 years ago
What pair describes 6 and 4
viktelen [127]

Alternate interior angles I believe

4 0
2 years ago
HURRY PLS What is the solution to the system that is created by the equation y = 2 x + 10 and the graph shown below? On a coordi
marin [14]

Answer:

  (-8, -6)

Step-by-step explanation:

When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).

The solution to the system is (-8, -6).

__

The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.

5 0
3 years ago
Read 2 more answers
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