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3 years ago

In the diagram, BC is a radius of C. Determine whether AB is tangent to C. Explain your reasoning.

Mathematics

1 answer:

Whitepunk [10]3 years ago

6 0

Answer:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49 Since this is false, it's not a right angle, and AB is not tangent.

Step-by-step explanation:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49 Since this is false, it's not a right angle, and AB is not tangent.

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3 years ago

Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago

Graph the line -1 passing through the point (-4,5)

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute

Multiply and to get

Add -1 to both sides to isolate y

Combine like terms and to get the answer

So the equation of the line with a slope of which goes through the point (-4,5) is:

which is now in y=mx = b form where the slope is m=-4/5 and the y-intercept is b=1

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2 years ago

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. if we start with only one

stepladder [879]

Answer:

Roughly 16 million bacteria.

Step-by-step explanation:

Multiply the rate of the bacteria going through mitosis times the amount of daughter cells per hour, for this case.

r x (m)ms x hr = bacteria in one day

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2 years ago

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emmasim [6.3K]

Answer is
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3 years ago

Read 2 more answers