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3 years ago

Which component in a graph indicates an independent factor?

1 answer:

3 0

In a cartesian plane, there are two axes, the x and y axes. The independent component of the graph is the x - component or the value of the abscissas. Moreover, the dependent variable of the graph is in the y-axis or in the ordinates.

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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

Need Help ASAP <br><br> How many weeks will it take to save $150 if I save $2.50 per week?

Sergeu [11.5K]

Answer: 60 weeks.

Step-by-step explanation: 150 divided by 2.50 = 60

5 0

2 years ago

Read 2 more answers

IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD

Anuta_ua [19.1K]

Answer:

150 cm2

Step-by-step explanation:

double of triangle abc is 200

this is in middle of both

3 0

2 years ago

(Find the HCF of):<br>p^2+4pq+4q^2, p^4 + 8pq^3 and 3p^4 - 10p^2q^2+ p^3q

kow [346]

Answer:

12pq

Step-by-step explanation:

i dont know tbh but i try my best to help out now anyways

5 0

2 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$