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madreJ [45]
4 years ago
12

What is the square root of 361???

Mathematics
2 answers:
REY [17]4 years ago
8 0
The square root of 361 is 19
Mrac [35]4 years ago
3 0
The square root of 361=19
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If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write
STALIN [3.7K]

Answer:

y=-1(x-2)^2+3

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form y=(x-h)^2+k.  

We know that vertex form of parabola in form y=a(x-h)^2+k, where (h,k) in vertex of parabola.  

Upon substituting coordinates of vertex, we will get:

y=a(x-2)^2+3

To find the value of a, we will substitute coordinates of point (0, -1) as:

-1=a(0-2)^2+3

-1=a(4)+3

-1=4a+3

-1-3=4a+3-3

-4=4a

\frac{-4}{4}=\frac{4a}{4}

-1=a

Therefore, our required equation would be y=-1(x-2)^2+3.

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Which is an arithmetic sequence with a common difference of 4?
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(help me) Which is the correct operation to use to solve this problem?
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Solve for x? I'm confused
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Mariulka [41]

Answer: (10) C     (11) D     (12) B      (13) D      (14) C      (15) A

<u>Step-by-step explanation:</u>

10) 9x - 1 > 9 - x     or      7x - 4 ≥ 4 + 9x

    <u> +x     </u>   <u>    +x </u>            <u> -9x    </u>    <u>     -9x</u>

    10x - 1 > 9                 -2x - 4 ≥  4

   <u>        +1 </u>  <u>+1      </u>           <u>      +4 </u>  <u>+4       </u>

    10x     > 10                -2x      ≥  8

   <u> ÷10   </u>   <u>÷10     </u>         <u> ÷ -2   </u>  ↓ <u>÷ -2    </u>

      x      >  1        or         x     ≤  -4

11)  7 + 4x < 4x - 7    or    -x + 6 > x + 6

    <u>     -4x </u>  <u> -4x       </u>        <u> -x      </u>   <u>-x        </u>

    7          <      -7           -2x + 6 >      6

          FALSE                <u>        -6 </u>    <u>    -6 </u>

                                       -2x      >      0

                                     <u> ÷ -2    </u>  ↓ <u> ÷ -2 </u>

                                          x     <      0

12)                   |x + 1| = 10

          x + 1 = 10      or     x + 1 = -10

         <u>     -1 </u>   <u> -1    </u>            <u>    -1  </u>  <u>  -1  </u>

          x      = 9        or     x      = -11

                       x = {9, -11}

13)                     3 - 7 | -1 + 2x| = -116

                     <u>  -3                     </u>  <u>  -3    </u>

                            - 7 | -1 + 2x| = -119

                         <u> ÷ -7               </u>  <u> ÷ -7 </u>

                                 | -1 + 2x| =   17

            -1 + 2x = 17        or       -1 + 2x = -17

          <u> +1        </u>  <u> +1     </u>              <u>+1         </u>   <u> +1 </u>

                   2x = 18                        2x = -16

                <u>  ÷2  </u>  <u>÷2   </u>                   <u> ÷2  </u>   <u> ÷2  </u>

                     x =  9        or                x =  -8

                                  x = {9, -8}

14)                       8 - | 2n - 8 | = 0

                       <u>  -8                  </u> <u> -8   </u>

                             - | 2n - 8 | = -8

                         <u> ÷ -1              </u> <u> ÷ -1 </u>

                                | 2n - 8 | =  8

            2n - 8 = 8        or           2n - 8 = -8

            <u>     +8 </u>  <u>+8  </u>                    <u>      +8 </u>   <u>+8 </u>

             2n     = 16                      2n      =  0

             <u>  ÷2  </u>   <u>÷2   </u>                   <u> ÷2  </u>     <u> ÷2  </u>

                n    = 8        or               n      =  0

                                  n = {8, 0}

3 0
3 years ago
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