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3 years ago

Select all the solutions to (x - 2)2 = -16.

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer:

d and g

Step-by-step explanation:

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ± $\sqrt{-16}$ = ± $\sqrt{16(-1)}$ = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)

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Please help!! Solve the system using an augmented matrix. Show all work

marishachu [46]

Answer:

The solution of the system is: $x=2, y=5$

Step-by-step explanation:

The given system of equations is.......

$-x-3y=-17\\ \\ 2x-6y=-26$

So, the augmented matrix will be: $\left[\begin{array}{cccc}-1&-3&|&-17\\2&-6&|&-26\\\end{array}\right]$

Now, we will transform the augmented matrix to the reduced row echelon form using row operations.

Row operation 1 : Multiply the 1st row by -1. So..........

$\left[\begin{array}{cccc}1&3&|&17\\2&-6&|&-26\\\end{array}\right]$

Row operation 2: Add -2 times the 1st row to the 2nd row. So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&-12&|&-60\\\end{array}\right]$

Row operation 3: Multiply the 2nd row by $-\frac{1}{12}$ . So.......

$\left[\begin{array}{cccc}1&3&|&17\\0&1&|&5\\\end{array}\right]$

Row operation 4: Add -3 times the 2nd row to the 1st row. So........

$\left[\begin{array}{cccc}1&0&|&2\\0&1&|&5\\\end{array}\right]$

Now, from this reduced row echelon form of the augmented matrix, we can get that $x=2$ and $y=5$

So, the solution of the system is: $x=2, y=5$

8 0

3 years ago

I cant fiqure out t - (-29) = 29 i was told to try and get the variable by itself

balandron [24]

Answer:

The answer is actually 0

Step-by-step explanation:

Let's solve your equation step-by-step.

t−(−29)=29

Step 1: Simplify both sides of the equation.

t+29=29

Step 2: Subtract 29 from both sides.

t+29−29=29−29

t=0

So t = 0

5 0

3 years ago

Answer ASAP

Elenna [48]

Answer:

All of the following have the same value except 6-9.

Step-by-step explanation:

9+(-6)=POSITIVE 3

9-6=POSITIVE 3

-6-(-9)=POSITIVE 3

6-9=NEGATIVE 3

Hope this Helps

7 0

3 years ago

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Area of a rectangle is 42 sq inches and one side is 12 inches long what is the perimeter of the rectangle?

12345 [234]

Area if the rectangle = 42 sq. inch
Area of a rectangle = l × b
42 = 12 × b
b = 42/12 = 3.5 inch
Now, perimeter of a rectangle= 2(l + b)
= 2(12+3.5) = 2(15.5) = 31 inches

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3 years ago

Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3

alexdok [17]

Answer:

ty can buy 7 journals

Step-by-step explanation:

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