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ohaa [14]
3 years ago
11

The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, cal

culate the area and perimeter of the shaded region.​

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

La respuesta es 7+6 ó 6+7 que es 13

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Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y
netineya [11]

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

5 0
3 years ago
Help needed math 3 - 10 points read closely
inessss [21]
<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

f(-3)=-\frac{1}{3}

<h2>Why?</h2>

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

\left \{ {{\frac{1}{x}, if x

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

f(x)=\frac{1}{x}

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

f(x)=x^{2}

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

-3

So, evaluating the function we have:

f(x)=\frac{1}{x}

f(-3)=\frac{1}{-3}

f(-3)=-\frac{1}{3}

Hence, we have that the answer is the fourth option,

f(-3)=-\frac{1}{3}

Have a nice day!

7 0
3 years ago
1/6(a+12)= -4 please help because I don’t understand this
iogann1982 [59]

Answer:

a=-36

Step-by-step explanation:

1/6(a+12)=-4

1) Distribute <u>1/6</u> to a and 12:

1/6a+2=-4

2) Subtract 2 from both sides:

1/6a=-6

3) Multiply both sides by the reciprocal of 1/6: (6/1)

a=-36

Let me know if you have any confusion on how I reached the solution :)

3 0
3 years ago
Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −
scoundrel [369]

Answer:

A

Step-by-step explanation:

We take a look at this expression: 49x^2-9 and notice that both terms are square numbers. 49x^2=(7x)^2 and 9=3^2.

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares a^2-b^2, it can always be factored into (a+b)(a-b).

Here, we can apply that. In this case, a = 7x and b = 3. So:

49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)

Thus, the answer is A.

Hope this helps!

6 0
3 years ago
Read 2 more answers
How do I create an equation and solve for x
vekshin1

Answer:

Equation: (2x + 30) + 106 = 180

x = 22°

Step-by-step explanation:

<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>

180 - (33 + 41) = missing angle

180 - 74 = missing angle

<u>106</u>°<u> = missing angle</u>

Now we can set up our equation to solve for x:

(2x + 30) + missing angle = 180°

<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>

Now let's solve:

2x + 30 + 106 = 180°

2x + 136 = 180

2x = 180 - 136

2x = 44

x = 44/2

<u>x = 22°</u>

Hope this helps!

6 0
3 years ago
Read 2 more answers
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