Linear combination of matrices .
Multiplying a matrix by a scalar is equivalent to multiplying each entry in the matrix by that scalar:
[tex]A=\begin{bmatrix}0&-3\\-5&5\end{bmatrix}\implies3A=\begin{bmatrix}0&-9\\-15&15\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}-2&-6\\2&5\end{bmatrix}\implies-6B=\begin{bmatrix}12&36\\-12&-30\end{bmatrix}[/tex]
Now combine them:
[tex]3A-6B=3A+(-6B)=\begin{bmatrix}0+12&-9+36\\-15+(-12)&15+(-30)\end{bmatrix}=\begin{bmatrix}12&27\\-27&-15\end{bmatrix}[/tex]
Solve the question on the interval [0, 2π)
sin^2 θ - cos^2 θ = -3 sin θ - 2
Answer:
[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]
Step-by-step explanation:
if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then
2sin²Q+3sinQ+1=0;
[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]
on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).
What 2 numbers have a difference of 8
Step-by-step explanation:
10-2=8 has the difference of 8
The difference of two numbers is obtained using the subtraction operation ; Hence, two numbers whose difference gives a value of 8 are 16 and 8.
There are many possible values where, the value of the two numbers will give a value of 8.
They include;
10 - 2 = 816 - 8 = 812 - 4 = 813 - 5 = 89 - 1 = 8Therefore, two numbers whose difference gives a value of 8 are 16 and 8.
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−2/3(12c−9)+14c
I need the answer
Answer:
6c+6
Step-by-step explanation:
-24/3c+18/3+14c
-8c+6+14c
6c+6
what is the time 5
Students make 82.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.50. How much do the students earn if they sell all the bottles of liquid soap?
Answer:
$63
Step-by-step explanation:
Answer:
they made 67.5$
Step-by-step explanation:
82.5÷5.5 is 15 15×4.50 would be 67.5
tim has two spinners
A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost LaTeX: CC can be represented by this equation: LaTeX: C=12+a\cdot mC = 12 + a ⋅ m , where LaTeX: aa is the additional charge per minute, and LaTeX: mm is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know LaTeX: CC and LaTeX: aa?
Answer: M=(c-12)-a
Step-by-step explanation:
this is because your trying to find m and 12a doesn't represent that.
Solve for x. 25 + 15x = 0
Answer:
x=−
3
5
=−1.667
Step-by-step explanation:
Answer:
[tex]\sf x=-\frac{5}{3}[/tex]Step-by-step explanation:
[tex]\sf 25 + 15x = 0[/tex]
[tex]\sf 25+15x-25=0-25[/tex]
[tex]\sf 15x=-25[/tex]
[tex]\sf \frac{15x}{15}=\frac{-25}{15}[/tex]
[tex]\sf x=-\frac{5}{3}[/tex]
Julie has a bag of flour that holds 20 cups of flour. She needs 4 cups for each loaf of bread.
How many loaves of bread can she make? Explain.
In the diagram, c | d . Identify three numbered angles that have a measure of 124°.
2.
34
5
124°
d
7
8
<2. < 7 and <1
<2. <4 and <1
<3. <7, and <4
<2. <3 and <7
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Lines 'c' and 'd' are the parallel lines a transversal line is intersecting these lines.
m∠2 = 124° [Corresponding angles]
m∠7 = 124° [Vertically opposite angles]
m∠2 = m∠3 = 124° [Vertically opposite angles]
Therefore, angles ∠2, ∠7 and ∠3 measure 124°.
Option (4) will be the answer.
I need help, quick....
Answer:
A & B
Step-by-step explanation:
Evaluate : (r - 3)³ + r² if r = -3 and s = -4. Show all the steps of working for this question.
I have a math test please give me the right answer!!
Answer:
-207
Step-by-step explanation:
Using r= -3, we can substitute r in the whole equation as (-3) which gives you: ((-3)-3)^3 +(-3)^2. Now you can calculate these values in a step by step manner. (-6)^3 +9 then to -216 +9 which brings you to the answer of -207.
Answer:
225
Step-by-step explanation:
(r - 3)³ + r² if r = -3 and s = -4
(-3 - 3)^3 + (-3)^2
(-6)^3 + (9)
(-6 x -6 x -6) + 9
-216 + 9
-207
Can someone please help, ty!!
(Will mark brainliest)
Answer:
4 hours
Step-by-step explanation:
50+5x=15x
50=20x
x=4
6.25w= -106.25 equals what
plz hurry!
Answer: w = -17
Plzz mark brainliest:)
W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!
which of the following is equal to (1/a+a)^2 - (1/a-a)^2 ?
A) 0
B) 4
C) 1/a^2 - a^2
D) 2/a^2 - 2a^2
E) 1/a^2 - 4-a^2
Answer:
B
Step-by-step explanation:
Answer:
I think its b
Step-by-step explanation:
I tried doing the work and got 4 so I hope its b
Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?
Answer:
she ate my. s aa a awwosewrtfgfdswertyu
Step-by-step explanation:
wwwwojwojwowj
Answer:
$3,221.02
Step-by-step explanation:
Month 1: $2000 x 1.10 = $2,200
Month 2 = $2,200 x 1.10 = $2,420
Month 3 = $2,420 x 1.10 = $2,662
Month 4 = $2,662 x 1.10 = $2,928.2
Month 5 = $2,928.2 x 1.10 = $3,221.02
1) _______ is caused by the weight of air above an area. *
atmospheric pressure
high pressure
low pressure
2) _________ creates less pressure on the barometer *
high pressure
low pressure
3) _______ creates greater pressure on the barometer. *
high pressure
low pressure
4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *
high pressure
low pressure
is the number 749 rational?
Solve for the missing value x 2 : 26 = 4 : x
Answer:
x=52
Step-by-step explanation:
2:26
2*2:26*2
4:52
Find the best buy for
a)
shampoo if 8 ounces cost $0.99 and 12 ounces cost $1.47.
b) cereal if 31 ounces cost $1.50 and 16 ounces cost $0.77.
c) soda if 3 cans cost $1.77 and 5 cans cost $1.79.
PLEASE HELPPP
Answer:
A. 12 oz. for $1.47
B. 16 oz for $0.77
C. 5 cans for 1.79
Step-by-step explanation:
A. Divide them both, cost by quantity.
0.99/8=0.123
1.47/12=0.1225
The second option is better since its 0.005 less than the first option.
B. Again, divide both options.
0.77/16=0.04125
1.50/31=0.04838
Second option because it is 0.00713 cents cheaper.
C. 1.77/3=0.59
1.79/5= 0.36
Second option is .23 cents cheaper than the first option.
If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?
3
3.2
4
4.6
Answer:
4 is the correct answer.
Step-by-step explanation:
If you're taking FLVS math then this is the right answer, I got it correct on my test.
The required measure of EF is 4. Option c is correct.
ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).
In congruent geometry, the shapes that are so identical. Can be coincide to themselves.
Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4
Thus, the required measure of EF is 4.
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ2
find the measure of angle J .will mark brainiest
Answer:
<J=51°
Step-by-step explanation:
3x-2+4x-9+3x-9=180
10x-20=180
10x=200
x=20
<J=3x-9=3(20)-9=60-9=51°
Answer: Angle J = 51°
Step-by-step explanation: All angles add up to 180° in a triangle, so add every angle and set it equal to 180°.
(3x - 2) + (3x - 9) + (4x - 9) = 180
Add like terms:
10x - 20 = 180
Add 20 to both sides:
10x = 200
Divide both sides by 10:
x = 20
Now, plug x into angle J:
3(20) - 9
60 - 9
51
Angle J = 51°
Hope this helps!
Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.
Answer:
48 1/4
Step-by-step explanation:
plug in the values of m,n,p
4*7+23+2/8-3
= 28+23+1/4-3
= 28+23-3+1/4
= 28+20+1/4
= 48 1/4
need help plz so can u
If you walk 100 m forward And 35 m backwards towards your starting point would what is the distance and displacement explain your answer
Answer:
imater?
Step-by-step explanation:
HELP!!!!!
answer asap! this is due in two hours!!
Answer:
it is 56
Step-by-step explanation:
there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56 hope it helps
How do you write 1.65x10^8: 2x10^3 in scientific notation?
I'm guessing you're talking about the ratio,
(1.65 x 10⁸) / (2 x 10³)
You can cancel the lowest power of 10:
(1.65 x 10⁸) / (2 x 10³) = (1.65 x 10⁵) / 2
Divide 1.65 in half to get 0.825. So we have
(1.65 x 10⁸) / (2 x 10³) = 0.825 x 10⁵
Move the decimal point to the right, which involves multiplying by a factor of 10 which is taken from 10⁵, so we end up with
(1.65 x 10⁸) / (2 x 10³) = 8.25 x 10⁴
Could it be zero? 4(x+2)=10
2. 12-8x=3(x+4)
Answer:
1) x=0.5
2 x=0
Step-by-step explanation:
Question No. 1
4(x+2)=10
4x+8=10
4x=2
x=0.5
Question No. 2
12-8x=3(x+4)
12-8x=3x+12
8x-3x=12-12
5x=0
x=0
Go
A triangular parking lot has two sides that are of the same length and the third side is 7 m longer. If the perimeter is 70 m, find the lengths of the sides.
Answer:
two of the sides are 21 m long and one of the sides is 28 m long