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ioda
3 years ago
9

What is the equation of the circle with center (16, - 12) and a radius of 5

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

x^2+y^2-32x+24y+375=0

Step-by-step explanation:

Equation of circle with given centre (h,k) and radius=r is

(x-h)^2+(y-k)^2=r^2

Given centre are=(16, - 12) and radius= 5

So equation of circle=

(x-16)^2+(y- -12)^2=5^2

x^2-32x+256+y^2+24y+144=25

x^2+y^2-32x+24y+375=0

Answer

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4 3/8+ 2 7/12 <br> Alguém sabe a resposta
Nata [24]

Answer:

6 23/24

Step-by-step explanation:

First, find the least common factor of 8 and 12, the denominators.

8 16 24

12 24

24, is now the current denominnator,

8x 3 = 24

Now you go do it to the numerator, 3 x 3 = 9

9/24 + ?

Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14

4 9/24 + 2 14/24

Now add the front numbers to make 6, than add the numerators and keep the denominator.

6 23/24, since you can not simplify this fraction, this is the answer.

6 0
3 years ago
If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.
Afina-wow [57]

Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

7 0
3 years ago
I need help with multiplying and dividing powers
Tamiku [17]
You need to know these two formulas:

\huge a^b \times a^c = a^{b+c}\\\\\huge \frac{a^b}{a^c}=a^{b-c}

For example,

5^2 \times 5^3 = 5^{2+3} = 5^5

\frac{2^6}{2^4} = 2^{6-4} = 2^2
6 0
3 years ago
What is the positive solution to this equation?<br><br> 3x^2+16x=112
ikadub [295]

Answer:

This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67

Step-by-step explanation:

hope this help if not let me know

6 0
2 years ago
Read 2 more answers
Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>
8 0
3 years ago
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