3 years ago

In the parallelogram shown, find x.

1 answer:

4 0

The side with all the 9s and x is 12 just like its opposite side because this is a parallelogram. We can write the equation to add up the three segments; the ones on the left and right are 9-x:

9-x + x + 9-x = 12

18 - x = 12

x = 6

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Evaluate the expression |x-10| when x= -8 a. -8 b. -18 c. 8 d. -18

nordsb [41]

|x-10| when x = -8
| - 8 - 10 | = |-18| = 18 <==

4 0

3 years ago

NO LINKS!!! Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)

levacccp [35]

General equation of parabola

y=a(x-h)²+k

for vertex(h,k)

Now

$\\ \rm\Rrightarrow y=a(x+2)^2+6$

Put (1,-3) and find a

$\\ \rm\Rrightarrow -3=a(1+2)^2+6$

$\\ \rm\Rrightarrow -9=a(3)^2$

$\\ \rm\Rrightarrow -9=9a$

$\\ \rm\Rrightarrow a=-1$

equation of parabola

$\\ \rm\Rrightarrow y=-(x+2)^2+6$

7 0

2 years ago

Read 2 more answers

Perform the indicated matrix row operation and write the new matrix

Ne4ueva [31]

The given operation involves just swapping the two rows, so carrying out $R_1\leftrightarrow R_2$ on the matrix gives

$\left[\begin{array}{cc|c}5&5&5\\1&-\dfrac23&5\end{array}\right]\to\left[\begin{array}{cc|c}1&-\dfrac23&5\\5&5&5\end{array}\right]$