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dimaraw [331]
3 years ago
15

Do the following side lengths make a right traingle? 11, 60, 62 Yes or no?

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

Answer:

No but 11,60, and 61 do make a right triangle

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The equation of a circle is
sergij07 [2.7K]

Answer:

The answer is

<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>

Step-by-step explanation:

The general equation of a circle is given by

<h3>x² + y² + 2gx + 2fy + c = 0</h3>

where the center of the center of the circle is given by

<h3>( - g , - f)</h3>

From the question the equation is

x² + y² + 14x + 2y + 14 = 0

Comparing with the general equation above we have

2g = 14 2f = 2

g = 7 f = 1 c = 14

So the center of the circle is

<h3>( - 7 , - 1)</h3>

The radius of a circle is given by

r =  \sqrt{ {g}^{2}  +  {f}^{2}  - c}

where

g = 7

f = 1

c = 14

Substitute the values into the above formula

That's

r =  \sqrt{ {7}^{2}  +  {1}^{2} - 14 }  \\ r =  \sqrt{49 + 1 - 14}  \\ r =  \sqrt{36}

we have the final answer as

<h3>radius = 6</h3>

Hope this helps you

5 0
3 years ago
Simplify the following expressions. Write your answers as a power. Complete problems 1 through 6.
sertanlavr [38]

The expression is given to be:

\frac{5^4\cdot5^2}{5^3}

Recall the multiplication rule of exponent given to be:

x^a\cdot x^b=x^{a+b}

Therefore, we can simplify the numerator to be:

5^4\cdot5^2=5^{4+2}=5^6

Hence, the expression becomes:

\Rightarrow\frac{5^6}{5^3}

Recall the division rule of exponent given to be:

\frac{x^a}{x^b}=x^{a-b}

Therefore, the expression becomes:

\frac{5^6}{5^3}=5^{6-3}=5^3

Evaluating the answer, we have:

5^3=125

Therefore, the answer is:

\frac{5^4\cdot5^2}{5^3}=125

3 0
1 year ago
A cable installer charges $40.00 per hour plus a $60.00 service charge. Your father's firm hires him to hook up his company's in
Vadim26 [7]
Set up the equation ... 60 + 40X = total charges... where X is the number of hours (8.5)

60 + 40(8.5) = ?
60 + 340 = ?
400 = total charges
4 0
3 years ago
Read 2 more answers
Emelina wrote the equation of a line in point-slope form as shown below. (y+4)=3(x+2) What is Emelina’s equation in slope-interc
Sergeeva-Olga [200]

Answer:

y=3x+2

Step-by-step explanation:

We are given equation as

(y+4)=3(x+2)

Since, we have to write equation in slope-intercept form

so, we can use slope-intercept formula

y=mx+b

where m is a slope

b is y-intercept

so, we can write our equation in this form

(y+4)=3(x+2)

Distribute 3

y+4=3\times x+3\times 2

y+4=3x+6

Subtract both sides by 4

y+4-4=3x+6-4

y+4-4=3x+6-4

y=3x+2

So, slope-intercept form of equation is

y=3x+2


4 0
3 years ago
Read 2 more answers
Find the product.<br><br> (−x−3)(2x2+5x+8)=
harina [27]

( - x - 3)(2 {x}^{2}  + 5x + 8) =  \\  =  - 2 {x}^{3}  - 5 {x}^{2}  - 8x - 6 {x}^{2}  - 15x - 24 =  \\  =  - 2 {x}^{3}  - 11 {x}^{2}  - 23x - 24

3 0
4 years ago
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