1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DanielleElmas [232]
3 years ago
12

Solve the equation for X.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

\large\boxed{\left[\begin{array}{ccc}10&-30\\-10&-2\end{array}\right]}

Step-by-step explanation:

X-3\left[\begin{array}{ccc}2&-8\\-4&2\end{array}\right] =\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]\\\\X-\left[\begin{array}{ccc}(3)(2)&(3)(-8)\\(3)(-4)&(3)(2)\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]\\\\X-\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]

X-\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]+\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]=\left[\begin{array}{ccc}4&-6\\2&-8\end{array}\right]+\left[\begin{array}{ccc}6&-24\\-12&6\end{array}\right]\\\\X=\left[\begin{array}{ccc}4+6&(-6)+(-24)\\2+(-12)&-8+6\end{array}\right]\\\\X=\left[\begin{array}{ccc}10&-30\\-10&-2\end{array}\right]

You might be interested in
If ∠a and ∠b are supplementary and m∠a = 37°45', then m∠b =
dlinn [17]

a + b = 180

37.45 + b = 180

b = 180-37.45 = 142.55

5 0
3 years ago
∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len
leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

<u>AB</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07

<u />

<u>BC</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06

<u />

<u>AC</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04

4 0
3 years ago
Derek has $20 to spend on used
goldfiish [28.3K]
5x+2y = 20

For every hardcover book (x) you will be charged 5$.

For every paperback book (y) you will be charged 2$.

The amount of both types of books you buy has to be under or equal to 20$
5 0
3 years ago
Read 2 more answers
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
max said that 36594 is less than 5980 because 3 is less then 5 describe max's error and give the correct answer
Verizon [17]
He was wrong because, although three is greater than five, the value of the three is in the ten thousands place, while the five is in the thousands place. Therefore, the correct answer would be that 36594 is greater than 5980.
4 0
3 years ago
Other questions:
  • amy bought a square table for her kitchen. The area of the table’s surface is 99ft². What is the best approximate length of one
    5·1 answer
  • Amalia is scuba diving at a position 24.25 feet below sea level.she descends 0.5 foot each minute for 25 minutes what is Amalias
    5·1 answer
  • Identify the value of b. PLEASE HELP!!
    13·1 answer
  • Give an example of a chance experiment with four possible outcomes. (Select all that apply.) A. rolling a standard die B. pickin
    6·1 answer
  • A triangle has two sides of length 13 and 9. What is the smallest possible whole-number length for the third side
    10·1 answer
  • Holden is trying to determine the velocity of his race car. He went 20 meters east, turned around, and went 40 meters west. His
    13·1 answer
  • If 2 is one root of the equation 4x3 + kx - 24 = 0, then the value of k is
    13·1 answer
  • PLS I NEED THIS ASAPPPPP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECT!! 100 points to whover answer correctly with good exp
    10·1 answer
  • Jatin deposited Rs. 35673 in his bank account on Tuesday and withdrew Rs.
    5·2 answers
  • To make her fruit punch for the end-of-year schoolcelebration, Yasmin uses 4 cups of papaya juice for every 6cups of pineapple j
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!