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4 years ago

Solve for x.

2 answers:

5 0

<span>x = {-4, 4}
</span>
<span>Divide each side by '5'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}</span>

iris [78.8K]4 years ago

3 0

Answer is D. 5x2 - 80 = 0 5x2 = 0+80 5x2 = 80 x2 = 80/5 x2 = 16 By taking sqr root of both sides, we get x = 4 and x = -4 So, the answer is {4, –4}

You might be interested in

The 3 × 3 matrix P satisfies the matrix equation P^2 = P.

riadik2000 [5.3K]

Answer: The answers are given below.

Step-by-step explanation: Given that a 3 × 3 matrix P satisfies the matrix equation P² = P.

We are to

(a) find the possibilities for the determinant of P.

(b) explain the reason behind there are no other possibilities.

(c) give an example of P, for each possible determinant.

(a) According to the given information, we have

$P^2=P\\\\\Rightarrow P^2-P=0\\\\\Rightarrow P(P-I)=0\\\\\Rightarrow P=0,~~~P=I.$

So, P can be either a zero matrix of order 3 or an identity matrix of order 3.

If P = 0, then det(P) = 0 and if P = I, then det(P) = 1.

Therefore the possible determinants of P are 0 and 1.

(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.

(c) If |P| = 0, then the matrix P can be can be of the form as follows:

$P=\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right] .$

If |P| = 1, the the matrix P can be of the form as follows :

$P=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .$

Thus, all the parts are answered.

4 0

3 years ago

Point A is located at (4, 0) and is reflected in the x-axis. What are the coordinates of point A'?

Deffense [45]

Answer:

The point (4,3) reflected about the x axis,

=> The x remains the same, the y flips over the x axis to be negative

(4,3) ==>> (4,-3)

The point (-3,-8) is reflected in the y-axis.

=> The y remains the same, the x flips over the y axis to be negative

(-3,-8)==>>(3,-8)

The point (2,4) is reflected in the line x = -3.

=> The x remains the same, the y flips over the x= -3 line.

Instead of reflecting over the x axis (or the x = 0) line

and just being +4 or 4 above the x axis to -4 or 4 below the x axis

you have +4 being 7 above the x= -3 line so you need

7 below the x= -3 line or -10 SO

(2,4)==>>(2,-10)

The point (a, b) is reflected in the line y = x

Consider that the line x=y is a 45 degree diagonal.

Imagine a point on the x axis at +3 i.e. (3,0)

Imagine a line perpendicular to x=y from the point (3,0)

(sorry there is no way to draw on here - try drawing it)

The line would hit the y axis at (0,3)

So you can see the x becomes y and y becomes x.

(a,b)==>>(b,a)

For

ΔXYZ is defined by its vertices X(1,3), Y(-3,5), and Z(0, -5).

ΔXYZ is reflected in the y-axis.

So for each of of the 3 points X, Y, and Z reflect them about

the y axis the same way in the second example above

and you will have the 3 new points X’, Y', and Z’

The translation T: (x, y) → (x -2, y + 4) maps the point (2, -3) to

The translation T: (x, y) → (x + 3, y - 2) maps the point (-4, -3) to

What you need to do here is just plug the values for X and Y into the translation.

e.g. for T: (x, y) → (x -2, y + 4) plug (2,-3) of x=2 y=-3 into (x -2, y + 4) and get the new values.

Step-by-step explanation:

Hope you like it !!!

5 0

4 years ago

Alissa emptied her piggy bank for disney world. She had $7.70. if she had 10 pennies, twice as many times as quarters, and 1/2 a

Tju [1.3M]

Answer:

She has 20 quarters.

Step-by-step explanation:

Alissa emptied her piggy bank for Disney world. She had $7.70.

If she had 10 pennies and twice as many times as quarters, then we can write the equation as

Q = 2P {Where, Q represents the number of quarters and P for pennies}

⇒ Q = 10 × 2

⇒ Q = 20

So, she has 20 quarters.

Therefore, she has 20 quarters. (Answer)

3 0

3 years ago

Which of the following best describes the english expression the product of two and a number minus eleven?

N76 [4]

The correct answer is A because product means multiply

Hope this helped :)

5 0

4 years ago

Read 2 more answers

You guys are Smart, Answer me this. But I need It fast-

miss Akunina [59]

Answer:

E = 58

F = 32

G = 90

Step-by-step explanation:

3x + 31 + 5x -13 + 90 = 180

3x + 31 + 5x -13 = 90

8x = 90 - 31 + 13

8x = 72

x = 72 / 8

x = 9

E = 3(9) + 31 = 27+31 = 58

F = 5(9)-13 = 45 - 13 = 32

G = 90

8 0

3 years ago