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jarptica [38.1K]

3 years ago

13

Trapezoid PQRS is rotated 180 degrees about the origin to form trapezoid P'Q'R'S

1 answer:

kirill115 [55]3 years ago

3 0

Answer:

The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

Step-by-step explanation:

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Identify the center and radius of the circle (x+4)^2+(y-2)^2=16

fgiga [73]

Answer: center is (-4,2) radius is 4

Step-by-step explanation:

Equation of circle

is (X-A)^2+(X-B)^2=r^2

The center Of The circle is (A, B)

The radius Of The circle is r

Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4

7 0

3 years ago

Solve this equation for x. round your answer to the nearest 0 = ln (x+6)

MissTica

Answer: $x=-5$

Step-by-step explanation:

To solve this exercise you need to remember the following:

$e^{lnx}=e^{lny}$ → $x=y$

Therefore, keeping the above on mind, you can solve for x as following:

$e^0=e^{ln(x+6)}$

$e^0=x+6$

Remember that, by definition: $a^0=1$ , then you have:

$1=x+6$

Subtract 6 from both sides of the equation.

Then the value of x is:

$1-6=x+6-6\\x=-5$

4 0

3 years ago

If the ratio of red socks to blue socks is 1:6, how many red socks would I have if I had 24 blue socks?

svetoff [14.1K]

Answer:4

Step-by-step explanation:

1:6

Divide 6 by 24

you will get 4

Times your answer by 1 and then u will get your final answer

3 0

4 years ago

Read 2 more answers

Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has

devlian [24]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Given

$\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]$

Required

Determine the type of solution

From the matrix, we have:

3 non-zero rows and 5 variables (the last column is the result)

When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions

i.e.

$Variables > Non\ zero\ rows$

$5 > 3$

8 0

3 years ago

SOLVING EACH SYSTEM BY ELIMINATION <br><br><br> x+3y=5 x=-6y+14<br><br><br> HELP

nata0808 [166]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=-4,\:y=3$

Step-by-step explanation:

Given the system of the equations

$x+3y=5;\:x=-6y+14$

solving by elimination method

$\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}$

$\mathrm{Arrange\:equation\:variables\:for\:elimination}$

$\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}$

$x+6y=14$

$-$

$\underline{x+3y=5}$

$3y=9$

$\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}$

solve $3y=9$ for $y$ :

$3y=9$

$\frac{3y}{3}=\frac{9}{3}$

$y=3$

$\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3$

Solve $x+3\cdot \:3=5$ for x:

$x+3\cdot \:3=5$

$x+9=5$

$x=-4$

Therefore,

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=-4,\:y=3$

6 0

3 years ago