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3 years ago

Given circle O with chords CD = 12 and

Mathematics

1 answer:

LuckyWell [14K]3 years ago

0 0

Answer:

FB=6 Units
OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

$10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units$

Therefore:

FB=6 Units
OE= 8 Units

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Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1))

Montano1993 [528]

$f(x)=x-2 \\
g(x)=x^2-7x-9 \\ \\
g(-1)=(-1)^2-7 \times (-1)-9 = 1+7-9=-1 \\
f(g(-1))=f(-1)=-1-2=-3 \\ \\
\boxed{f(g(-1))=-3}$

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3 years ago

Evaluate the expression when c= -4.<br> c² – 5c+2

Fiesta28 [93]

Answer:

The answer is 38.

Step-by-step explanation:

You have to substitue c = -4 into the expression :

Let c = -4,

${( - 4)}^{2} - 5( - 4) + 2$

$= 16 + 20 + 2$

$= 38$

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3 years ago

Which expression(s) are greater than 0? Select all that apply.

MakcuM [25]

Answer:

1234567891011121314151617181920

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3 years ago

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

$(x-h)^2=4.a(y-k)$

Now, here

$y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2$

So equation will be

$(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2$

So, option D is correct .

4 0

3 years ago

Read 2 more answers

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with

svp [43]

Answer:

1 and 2/5 yards wastes only 1/15 a yard

Step-by-step explanation:

1 and 1/6 yards would make a waste of 1 and 1/6 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/10 yards would make a waste of 1 and 1/5 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/5 yards

$1\frac{2}{5} -1\frac{1}{3} =\\\\1\frac{6}{15} -1\frac{5}{15} =\\\\\frac{1}{15}$

Wastes 1/15 a yard.

1 and 1/2 yards

$1\frac{1}{2} -1\frac{1}{3} =\\\\1\frac{3}{6} -1\frac{2}{6} =\\\\\frac{1}{6}$

It wastes 1/6 a yard.

2 yards

$2-1\frac{1}{3} =\frac{2}{3}$

It wastes 4/6 a yard.

4 0

3 years ago