HELP HELP HELP !!!
Which equation shows that the product of a square matrix A and its identity matrix I is A?
Answers
Answer:
Option B
Step-by-step explanation:
The multiplication process of matrices works by multiplying the first row of the first matrix by the first column of the second matrix. The same goes with the second row of the first matrix by the second column of the other matrix. Below is the solution why option B is the correct answer.
[tex]A = \left[\begin{array}{ccc}8&11\\13&5\\\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ← This is the Identity Matrix.
The attached screenshot shows the solution of the multiplication process. In essence, if you multiply any matrix by the identity (Matrix B), you should end up with your original matrix. Thus, multiplying Matrix A by the Identity matrix results in the same values as Matrix A.
Therefore, the correct answer is B.
Related Questions
solve for x and explain
Answers
Answer:
[tex]x=22[/tex]
Step-by-step explanation:
Because [tex]\angle ABC=\angle ABD+\angle DBC=80^{\circ}[/tex], we have that [tex](2x+4)+(2x-12)=80[/tex].
Combining like terms on the left side gives [tex]4x-8=80[/tex].
Adding [tex]8[/tex] to both sides gives [tex]4x=88[/tex].
Dividing both sides of the equation by [tex]4[/tex] gives [tex]\boxed{x=22}[/tex].
2x - 12 + 2x + 4 = 80
4x - 8 = 80
+ 8 = + 8
4x = 88
Divide by 4
x = 22
Maybe… I hope it’s right!
Name an angle supplementary to
Answers
Answer:
Here is your answer dear,
Step-by-step explanation:
angle AOD and angle EOC are supplementry angle
HOPE ITS HELPFUL
MARK ME AS BRAINLIST
Which best represents the domain for Golf Galore?
A. All real numbers
B. 1 ≤ x ≤ 3
C. { 1 ,2 ,3 }
D. x ≤ 3
Answers
Answer:
explain below
Step-by-step explanation:
I think this question missed some part like the minimum and maximum reservation time (such as 1 to 3 hours), if so.. the answer is B. 1≤x≤3
Is MNO similar to PQO
Answers
Answer:
Yes MNO is similar to PQO
what is the domain of h please help :(((((((
Answers
Answer:
Domain is X-values
Range is Y-VALUES
domain as follows: -7,-3, -1, 1, and 4
Range as follows: -2,7, 6, and 3
I think the domain of h is 3Step-by-step explanation:
(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevation of the aeroplane from a point on the Earth's surface is 37°. After what period of time does the angle of elevation increase to 53° ? (tan 53° = 1.3270, tan 37° = 0.7536)
Answers
dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)
then the geometry is zoomed on the left side
Factorise
x2 + 5x - 24
Answers
Answer:
(x+8)(x-3)
Step-by-step explanation:
x2+5x-24
product 1 ×-24= -24
sum -3 and 8(x2 -3x )(+ 8x -24)x(x-3) +8(x-3)(x+8)(x-3)find angle DBC !!!!!!
Answers
Answer:
50°
Step-by-step explanation:
50° is the angle DBC
I need help with these two
Answers
Answer:
2) D
4) A
Step-by-step explanation:
y=3(x-1)
multiply
3(x-1)
then y=3x-3
y+1=4/3(x+3)
multiply 4/3(x+3)
y=4/3x+3
Answer:
1) D. y = 3x-3
2) A. y = 4/3 x+3
Step-by-step explanation:
1)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0
Step 1:
Equation of a Straight Line
Solve y-3x+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 3/3 = 1
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 6.000/2.000 = 3.000
Geometric figure: Straight Line
Slope = 6.000/2.000 = 3.000
x-intercept = 3/3 = 1
y-intercept = -3/1 = -3.00000
2)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(4/3*x+3)=0
Step 1:
Simplify 4/3
Equation at the end of step 1:
y - ((4/3 • x) + 3) = 0
Step 2: Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 = 3/1 = 3 · 3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 · 3/3 = 4x+9/3
Equation at the end of step 2:
y - (4x+9)/3=0
Step 3:
Rewriting the whole as an Equivalent Fraction :
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y = y/1 = y · 3/3
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
y • 3 - ((4x+9)) 3y - 4x - 9
———————————————— = ———————————
3 3
Equation at the end of step
3
:
3y - 4x - 9
——————————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y-4x-9
——————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y-4x-9 = 0
Equation of a Straight Line
4.2 Solve 3y-4x-9 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y-4x-9 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000
y-intercept = 9/3 = 3
Calculate the X-Intercept :
When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000
x-intercept = 9/-4 = -2.25000
Calculate the Slope :
Slope = 2.667/2.000 = 1.333
Geometric figure: Straight Line
Slope = 2.667/2.000 = 1.333
x-intercept = 9/-4 = -2.25000
y-intercept = 9/3 = 3
WILL MAKE BRAINLIEST Determine the value of x
a) 7.8
b) 4.62
c)6
d) 0.22
Answers
Answer:
I came to the answer of 6.
Evaluate the expression.
{[(20−32)÷(−6)]2−11}÷(−7)
What is the value of the expression?
Enter your answer in the box.
Answers
The value of the expression is 1
From the question,
We are to evaluate the value of the expression {[(20−32)÷(−6)]2−11}÷(−7)
To do this, we will clear the brackets one after the other.
The expression can be simplified as shown below:
{[(20−32)÷(−6)]2−11}÷(−7)
{[(-12)÷(−6)]2−11}÷(−7)
Then, we get
{[2]2−11}÷(−7)
{4−11}÷(−7)
{-7}÷(−7)
-7 ÷ -7
= 1
Hence, the value of the expression is 1
Learn more here: https://brainly.com/question/24421152
17.2 x 4.6 show working out in column method
Answers
Answer:
17.02
Step-by-step explanation:
2
41
17.2
x4.6
1
1022
+6880
17.02
be sure to cross out the 41 on the second line when you start multiplying 17.2 by 4
(0, -4) and (-1, -2)
Write the slope intercept form of the equation for f the line through the given points
Answers
Answer:
y = -2x - 4
Step-by-step explanation:
First, I'll find the slope by subtracting the y-values and x-values of each point from each other, as shown below:
(-2 - (-4))/(-1 - 0) = 2/-1 = -2
We already have the y=intercept: (0, -4). From this, we can write a y = mx + b (slope intercept form) equation, with m being our slope and b being our y-intercept. It looks like y = -2x - 4.
5. what equation passes through the 2 points
(3, 1) and (7, -3)
Answers
Answer:
Equation: y = -1x + 4
Step-by-step explanation:
In order to create an equation, you need to put it in slope-intercept form ( y = mx + b ). The best way to figure out to create your equation is to graph the points. 'Y' means the y-axis. 'mx' refers to the slope of a particular line and b is concluding where the line crosses the y-axis.
There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?
You should expand the original lot by…
Please type ft to represent feet.
Answers
Answer:
2 ftStep-by-step explanation:
Given:
l = 6 ftw = 4 ftExtended area = 48 ft²Extension= xFind x:
(6 + x)(4 + x) = 48x² + 10x + 24 = 48x² + 10x + 25 = 49(x + 5)² = 49x + 5 = 7x = 7 - 5x = 2Subtract the linear expressions. (2/5x−1)−(1/4x+2) What is the difference? Enter your answer in the box. Enter fractions as simplified fractions.
Answers
Answer:
3/20x−3
Step-by-step explanation: TOOK THE FOR K12 HOPE THIS HELPS
The difference of the given expression is 3/20 x - 3.
Given that, (2/5x−1)−(1/4x+2).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, (2/5x−1)−(1/4x+2)
= (2/5 x - 1/4 x) -1 - 2
= (8/20 x - 5/20 x) - 3
= 3/20 x - 3
Therefore, the difference of the given expression is 3/20 x - 3.
To learn more about the subtraction of expression visit:
https://brainly.com/question/12959016.
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Hi, i am in 8th grade math and i really just need someone to explain the steps on how to slove these types of quetsions-
1. -12(k+4)= 60 (slove for k)
2, 8(3a+)=9(2a-4) (solve for a)
i dont really pay attention and im failing. this is very forgein to me it just looks ike a cluster of numbers and signals. cn you step by step expail it please i will give a brainly!
Answers
Answer:
1. k=-9
2. a=-12
Step-by-step explanation:
1. -12(k+4)=60
use distributive property
-12k-48=60
add 48 to both sides
-12k=108
divide both sides by -12
k=-9
2. 8(3a)=9(2a-4)
use distributive property
24a=18a-36
subtract 18a on both sides
6a=-36
divide both sides by 6
a=-12
I need help! I don’t know this problem can you figure this out?
Answers
Remember that the two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
The exterior angle is m < 2a°, while the remote interior angles inside the triangle are m < (a + 10)° and m < 44°.
The following equality statement reflects the exterior angle theorem:
m < (a + 10)° + m < 44° = m < 2a°
At this point, you could solve for the value of "a" algebraically:
a + 10 + 44 = 2a
a + 54 = 2a
Subtract "a" from both sides:
a - a + 54 = 2a - a
54 = a
Now that you have the value for a = 54, substitute this value into the given angles to know their measures:
m < (a + 10)° + m < 44° = m < 2a°
m < [(54) + 10] + m < 44 = m < 2(54)
m < 64° + m< 44° = m < 108°
Therefore:
m < (a + 10)° = 64°
m < 2a° = 108°
jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?
Answers
Answer:
Jazz sold 3(6/2)sacks of vegetables.
Step-by-step explanation:
5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.
How do you write 3
17/
18
as a decimal?
Answers
Answer:
3 17/18 rounds up to 3.94
Vladimir is looking to retire in 10 years. He has a plan to put $25,000 into an investment today that earns interest at a fixed amount per year. What would be a reasonable domain and range for a function modeling the total amount of the investment, including interest?
25 Points for the correct answer
Answers
The domain and range for a function modeling the total amount of the investment, including interest are as follows;
Domain, X = {0<= years <= 10}Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + 10R)}The starting principal amount, P is $25,000.
Let the interest rate per year, be represented as, R (%)Time of investment, T = 10 yearsIn essence, after 10 years, the total amount Vladimir has is;
Total amount = 25,000( 1 + xR).In essence, the domain (No. of years ) is;
Domain, X = {0<= years <= 10}Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + xR)}Read more:
https://brainly.com/question/14489958
eugheugh eughhhh I've been listening to my comfort playlist stressing about this test for too long Please just help ;-;
Answers
Answer:
1. Incorrect because it's suppose to be -4/5, -1/10, 7/10
2. Incorrect because it's suppose to be -7/8, -3/8, -3/4
3. Correct -2/3, -5/9, 2/9
4. Incorrect because it's suppose to be -4/7, -5/14, 6/7
What is the answer for x?
Answers
answer:
115 degrees
explanation:
1)
12x+55=23x
55=11x
5=x
2)
23(5)
115
The X is for slopes
round 2.794 to the tenths place
Answers
The tenths place is right after the decimal, so when we round 2.794 to the nearest tenths place, we get 2.8
Hope this helps! Have a good day :)
Make A the subject of the formula
r=1
А
3
Answers
Step-by-step explanation:
[tex]r = \sqrt{ \frac{А}{3} } [/tex]
[tex] {r}^{2} = \frac{А}{3} [/tex]
[tex]А = 3{r}^{2} [/tex]
HOPE IT HELPS YA
what is 3(2 - 5y) math
Answers
Answer:
-15y + 6
Step-by-step explanation:
3(2 - 5y)(3)(2) + (3)(-5y)6 + (-15y)-15y + 6Therefore, the answer is -15y + 6.
dinosuar09 says:
Sooo I need help doing this math problem
3/4 is equal to what desimal
a. 0.34
b. 2.5
c. 0.75
d. 0.3
Answers
Answer:
the answer is C
Step-by-step explanation:
3/4 = 0.75
1. Sarah a 20-ounce jar of strawberry jam for $4.00. What is the unit price per ounce?
2. Julie bought a 24-ounce can of tomato sauce for $6.00. What is the unit price per ounce?
Answers
Answer:
unit price for jam= 20 cents
unit price for tomato sauce= 25 cents
Step-by-step explanation:
Given: 4(-2x+1) - 2x = 44
Prove:x = -4
Statements...
1
2
3
4
5
Reasons:
1
2
3
4
5
The statement goes with the reason hopefully that makes sense please help me
Answers
Answer:
Step-by-step explanation:
what is the surface area of this design?