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tatuchka [14]
3 years ago
14

The product of two consecutive odd integers is 399. What equation would be used to solve

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Step-by-step explanation:

the answer is in the image

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Help me find the slope to these points<br> (2,5) and (8, -4)
ale4655 [162]

Answer:

slope = -3/2

Step-by-step explanation:

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1/x2−x1.

We have that x1=2, y1=5, x2=8, y2=−4.

Plug the given values into the formula for slope: m= (-4)-(5)/ (8)-(2) = -9/6 = -3/2

the slope of the line is m = -3/2

4 0
2 years ago
Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)
Ivahew [28]

Answer:

(x+1)^2+(y-1)^2=53

Step-by-step explanation:

The standard form for the equation of a circle is (x-h)^2+(y-k)^2=r^2, where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is:

\sqrt{(1-(-1))^2+(1-(-6))^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}

Therefore, the equation of this circle is:

(x+1)^2+(y-1)^2=53

Hope this helps!

7 0
3 years ago
The sum of a number and 8 is 15
kodGreya [7K]
You mean, what is this number?

we can rephrase it like this: the sum of a number x and 8 is 15

which is:

x+8=15

we subtract 8 from both sides and we get
x=7

so the answer is 7.
3 0
3 years ago
Read 2 more answers
If
Paraphin [41]

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

4 0
3 years ago
Read 2 more answers
Pleaseeeeeee help mee
BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

4 0
2 years ago
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