Given:
The matrix equation is:
[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
To find:
The value of matrix C.
Solution:
Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as
[tex]A-C=B[/tex]
[tex]-C=B-A[/tex]
[tex]C=-(B-A)[/tex]
[tex]C=A-B[/tex]
On substituting the values of the matrices, we get
[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]
Therefore, the correct option is C.
Answer: C
Step-by-step explanation: [ 4 2 -7 ]
what is the definition of corresponding sides
Answer:
Corresponding sides touch the same two angle pairs.
Step-by-step explanation:
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.
When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
how many square feet is in a acre
pls help i dont have much time
ILL GIVE BRAINLIEST TO WHOEVERS ANSWER IS RIGHT
THE ANSWER IS WORTH 100 POINTS
Answer:
HI! MARK ME BRAINLIEST!
Step-by-step explanation:
Your answer will be 25! Just think of it! You'll get it
Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022
What is the answer to this?
9514 1404 393
Answer:
$125 per car
Step-by-step explanation:
The problem statement tells you Jazmin's pay goes up by $125 for each car she sells. That rate of change is $125 per car.
Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.
Answer:
20.95$
Step-by-step explanation:
To find the total price we need to find 4.75% of the 20 and to do that we need to multply 20 with 4.75 and divide it by 100
20 × 4.75 ÷ 100 = 0.95
20$ + 0.95$ = 20.95$
Find the measures of the numbered angles in each kite.
Answer:
x = 15
y = 13
Step-by-step explanation:
6x - 4 = 5x + 11
x = 15
4y + 3 + 3y + 86 = 180
7y = 91
y = 13
what does venerable mean
Answer:
accorded a great deal of respect, especially because of age, wisdom, or character.
"a venerable statesman"
Similar:
respected
venerated
revered
reverenced
Step-by-step explanation:
Hope it helps u , Good luck ^.^
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
An ant population began with 30 ants. From this point, the population
continuously increased by 4% each hour. Based on this model, how many
hours will it take the population to reach 100 ants?
Answer:about 5.3
Step-by-step explanation:
The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?
Answer:
y=-6
Step-by-step explanation:
just look at the bottom and yahhhh
Find the area of each figure.
1536in (for rectangle). 288in (for triangle)
Area of rectangle: 48in* 32in = 1536 in
Area of triangle: 48in*12in÷1/2= 576/2=288in
Formula of area of triangle is b*h divided by 2
Formula of area of rectangle is length*width
Hope this helps!
In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR
What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
Identify the equation that correctly shows the given relationship.
please answer asap NO SCAM LINKS.
A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules
Answer:
Option C. 4.0313×10²⁷ molecules.
Step-by-step explanation:
We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.
Width (W) = 5 m
Length (L) = 10 m
Height (H) = 3 m
Volume (V) =?
V = L × W × H
V = 10 × 5 × 3
V = 150 m³
Thus, the volume of oxygen is 150 m³
Next, we shall convert 150 m³ to L. This can be obtained as follow:
1 m³ = 1000 L
Therefore,
150 m³ = 150 m³ × 1000 L / 1 m³
150 m³ = 150000 L
Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:
22.4 L = 6.02×10²³ molecules
Therefore,
150000 L = 150000 × 6.02×10²³ / 22.4
150000 L = 4.0313×10²⁷ molecules
Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
What comes next in the pattern?12,16,20
A. 10
B. 22
C. 23
D. 24
What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
Eileen plant a tree that is 2 meters tall in her yard which of the following is equivalent to meters following is equivalent to 2 meters?
(A) 200 mm
(B) 20 cm
(C) 200 km
(D) 2,000 mm
Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
i need helpppppppp ITSSSSSSSSSSSSSSSSSSSSSSS URGETTTTTTTT HELPPPPPPPPPPPPPPPP
Answer:
what school you do
Step-by-step explanation:
what grade
4m - - - - >4x10=40m^2
6m - - - - >6x10=60m^2
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
daddgeyeyeyeye daddd daddy safdad papap
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
PLEASE HELP! 10 POINTS.
2x+30=-50
2x=-50-30
2x=-80
x=-80/2
x= - 40Answer:
-40
Step-by-step explanation:
cuz 2 times -40=-80 and -80+30 equals -50
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
pls help me somebody
Answer:
it is 36 inches
Step-by-step explanation:
ALGEBRA
tell whether the given value is a solution of the equation. (yes or no)
1. x+16=20;x+4
2. p-4+28;p+32
3. 4w+44;w=10
4. y/6= 6;y=24
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1.yes
2.yes
3.yes
4.no
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
Answer:
Dec 10
Step-by-step explanation:
0.25 liter = 250 ml
4 ml * 3 = 12 ml
250/12 = 20.83 days
Nov 20 - Nov 30: 11 days
Dec 1 - Dec 9: 9 days
On December 9, she can still take her 3 doses.
By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.
On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.