Answer:
y + 3 = - x + 4 or y = - x + 1Step-by-step explanation:
Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.
Use point-slope form:
y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4or
y = - x + 1Equation in point slope form
y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1may someone please help me solve the inequality
-4 (x - 2) + 5 < 9
Answer:
[tex]\huge\boxed{x > 1}[/tex]
Step-by-step explanation:
-4(x - 2) + 5 < 9
Subtract 5.
-4(x - 2) < 4
Divide by -4 (Flip the sign when dividing by a negative number).
x - 2 > -1
Add 2.
x > 1
Hope it helps :) and let me know if you want me to elaborate.
Answer:
x>1
Step-by-step explanation:
I had that same question hope that helped
Please help me!!
Find the absoutle value
7) /-5.5/
9) /14 1/3/ *1/3 is a fraction next to the the whole number 14*
6) /5 3/4 *3/4 is a fraction next to the whole number 5*
10) /-7.75/
14) 135.41
PLS WILL MARK BRAINLIST
Solve for c.
c= -9 - 8c
c=-9-8c
+8c
9c=-9
c=-1
Hope this helps:D!!
The letter C is equal to negative one.
c = -1
Hope this helps!
i am very confused amd i also hate math so please help
Answer:
The answer that you put is right
question number fifteen
Answer:
d. EDC
Step-by-step explanation:
if you mirror the triangle ABC, it fits perfectly with triangle EDC
simplify this addition 2m+(-2m)+4m
[tex]\\ \sf\longmapsto 2m+(-2m)+4m[/tex]
[tex]\\ \sf\longmapsto 2m-2m+4m[/tex]
[tex]\\ \sf\longmapsto (2-2)m+4m[/tex]
[tex]\\ \sf\longmapsto 0+4m[/tex]
[tex]\\ \sf\longmapsto 4m[/tex]
Answer:
4m
Step-by-step explanation:
2m+(-2m)+4m = 2m-2m+4m
= 4m
Hope it helps!!
Please solve this! NO ROBOTS!
Answer: 54° or 40°, depending on my interpretation of the problem.
Step-by-step explanation:
I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees. A right angle is 90°, so the other angle should be (90 - 36) or 54°. But what's shown is (14 - 1)°, and I don't know how to interpret that. Is the "1" supposed to be an "x"? If so, x = 40°
4d=12 solve for the variable
Pls hurry on a test
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
Answer:
pretty sure it's c
Step-by-step explanation:
when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2
Order from least to greatest.
595.05, 595.50, 595.005
Answer
595.005, 595.05,595.50 that's from least to greatest. please let me have brainliest
Step-by-step explanation:
595.005 , 595.50 595.05
fill in the missing terms and identify whether it is arithmetic, geometric, or fibonacci,
Answer:
hello are you a Latina hola como estas soy niña
Let A be a given matrix below. First, find the eigenvalues and their corresponding eigenspaces for the following matrices. Then, find an invertible matrix P and a diagonal matrix such that A = PDPâ’1.
(a) [ 3 2 2 3 ]
(b) [ 1 â 1 2 â 1 ]
(c) [1 2 3 0 2 3 0 0 3]
(d) [3 1 1 1 3 1 1 1 3]
It looks like given matrices are supposed to be
[tex]\begin{array}{ccccccc}\begin{bmatrix}3&2\\2&3\end{bmatrix} & & \begin{bmatrix}1&-1\\2&-1\end{bmatrix} & & \begin{bmatrix}1&2&3\\0&2&3\\0&0&3\end{bmatrix} & & \begin{bmatrix}3&1&1\\1&3&1\\1&1&3\end{bmatrix}\end{array}[/tex]
You can find the eigenvalues of matrix A by solving for λ in the equation det(A - λI) = 0, where I is the identity matrix. We also have the following facts about eigenvalues:
• tr(A) = trace of A = sum of diagonal entries = sum of eigenvalues
• det(A) = determinant of A = product of eigenvalues
(a) The eigenvalues are λ₁ = 1 and λ₂ = 5, since
[tex]\mathrm{tr}\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3 + 3 = 6[/tex]
[tex]\det\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3^2-2^2 = 5[/tex]
and
λ₁ + λ₂ = 6 ⇒ λ₁ λ₂ = λ₁ (6 - λ₁) = 5
⇒ 6 λ₁ - λ₁² = 5
⇒ λ₁² - 6 λ₁ + 5 = 0
⇒ (λ₁ - 5) (λ₁ - 1) = 0
⇒ λ₁ = 5 or λ₁ = 1
To find the corresponding eigenvectors, we solve for the vector v in Av = λv, or equivalently (A - λI) v = 0.
• For λ = 1, we have
[tex]\begin{bmatrix}3-1&2\\2&3-1\end{bmatrix}v = \begin{bmatrix}2&2\\2&2\end{bmatrix}v = 0[/tex]
With v = (v₁, v₂)ᵀ, this equation tells us that
2 v₁ + 2 v₂ = 0
so that if we choose v₁ = -1, then v₂ = 1. So Av = v for the eigenvector v = (-1, 1)ᵀ.
• For λ = 5, we would end up with
[tex]\begin{bmatrix}-2&2\\2&-2\end{bmatrix}v = 0[/tex]
and this tells us
-2 v₁ + 2 v₂ = 0
and it follows that v = (1, 1)ᵀ.
Then the decomposition of A into PDP⁻¹ is obtained with
[tex]P = \begin{bmatrix}-1 & 1 \\ 1 & 1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1 & 0 \\ 0 & 5\end{bmatrix}[/tex]
where the n-th column of P is the eigenvector associated with the eigenvalue in the n-th row/column of D.
(b) Consult part (a) for specific details. You would find that the eigenvalues are i and -i, as in i = √(-1). The corresponding eigenvectors are (1 + i, 2)ᵀ and (1 - i, 2)ᵀ, so that A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1+i & 1-i\\2&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}i&0\\0&i\end{bmatrix}[/tex]
(c) For a 3×3 matrix, I'm not aware of any shortcuts like above, so we proceed as usual:
[tex]\det(A-\lambda I) = \det\begin{bmatrix}1-\lambda & 2 & 3 \\ 0 & 2-\lambda & 3 \\ 0 & 0 & 3-\lambda\end{bmatrix} = 0[/tex]
Since A - λI is upper-triangular, the determinant is exactly the product the entries on the diagonal:
det(A - λI) = (1 - λ) (2 - λ) (3 - λ) = 0
and it follows that the eigenvalues are λ₁ = 1, λ₂ = 2, and λ₃ = 3. Now solve for v = (v₁, v₂, v₃)ᵀ such that (A - λI) v = 0.
• For λ = 1,
[tex]\begin{bmatrix}0&2&3\\0&1&3\\0&0&2\end{bmatrix}v = 0[/tex]
tells us we can freely choose v₁ = 1, while the other components must be v₂ = v₃ = 0. Then v = (1, 0, 0)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}-1&2&3\\0&0&3\\0&0&1\end{bmatrix}v = 0[/tex]
tells us we need to fix v₃ = 0. Then -v₁ + 2 v₂ = 0, so we can choose, say, v₂ = 1 and v₁ = 2. Then v = (2, 1, 0)ᵀ.
• For λ = 3,
[tex]\begin{bmatrix}-2&2&3\\0&-1&3\\0&0&0\end{bmatrix}v = 0[/tex]
tells us if we choose v₃ = 1, then it follows that v₂ = 3 and v₁ = 9/2. To make things neater, let's scale these components by a factor of 2, so that v = (9, 6, 2)ᵀ.
Then we have A = PDP⁻¹ for
[tex]P = \begin{bmatrix}1&2&9\\0&1&6\\0&0&2\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}1&0&0\\0&2&0\\0&0&3\end{bmatrix}[/tex]
(d) Consult part (c) for all the details. Or, we can observe that λ₁ = 2 is an eigenvalue, since subtracting 2I from A gives a matrix of only 1s and det(A - 2I) = 0. Then using the eigen-facts,
• tr(A) = 3 + 3 + 3 = 9 = 2 + λ₂ + λ₃ ⇒ λ₂ + λ₃ = 7
• det(A) = 20 = 2 λ₂ λ₃ ⇒ λ₂ λ₃ = 10
and we find λ₂ = 2 and λ₃ = 5.
I'll omit the details for finding the eigenvector associated with λ = 5; I ended up with v = (1, 1, 1)ᵀ.
• For λ = 2,
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}v = 0[/tex]
tells us that if we fix v₃ = 0, then v₁ + v₂ = 0, so that we can pick v₁ = 1 and v₂ = -1. So v = (1, -1, 0)ᵀ.
• For the repeated eigenvalue λ = 2, we find the generalized eigenvector such that (A - 2I)² v = 0.
[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}^2 v = \begin{bmatrix}3&3&3\\3&3&3\\3&3&3\end{bmatrix}v = 0[/tex]
This time we fix v₂ = 0, so that 3 v₁ + 3 v₃ = 0, and we can pick v₁ = 1 and v₃ = -1. So v = (1, 0, -1)ᵀ.
Then A = PDP⁻¹ if
[tex]P = \begin{bmatrix}1 & 1 & 1 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{bmatrix}[/tex]
[tex]D = \begin{bmatrix}5&0&0\\0&2&0\\0&2&2\end{bmatrix}[/tex]
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
What are all the factors of 54?
1, 2, 3, 6, 9, 18, 27, 54
1, 2, 6, 9, 27, 54
1, 2, 6, 9, 26. 54
1, 2, 3, 6, 9, 18, 26, 54
Answer:
1,2,3,6,9,18,27,54
Step-by-step explanation:
1 x 54 = 54
2 x 27 = 54
3 x 18 = 54
6 x 9 = 54
9 x 6 = 54
18 x 3 = 54
27 x 2 = 54
54 x 1 = 54
What is the m 2x-3=5x-12
Answer:
15 is the answer
Step-by-step explanation:
If it was designed as an alternate angle, then it would 63 degrees
Please help with this math problem!! Its due tonight!! :)
Answer:
Step-by-step explanation:
What is the product? (5r − 4)(r2 − 6r 4) 5r3 − 34r2 44r − 16 5r3 − 4r2 14r − 16 5r3 − 6r − 16 5r3 10r − 16.
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
Hope this helped!!
Answer:
A. 5r3 − 34r2 + 44r − 16
Step-by-step explanation:
Write the given expanded form into the standard form of a number.
4
4
T-Th + 5
+
5
T + 1
+
1
H-Th + 9
+
9
O + 3
+
3
M + 7
+
7
Th
Answer
44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000
Step-by-step explanation:
If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours
Answer:
Two pieces of furniture.
Step-by-step explanation:
3 hours times 1 piece of furniture every 3/4 hours:
3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25
Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.
En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:
Answer:
AD=7,BE=6,AB=4,AC=3.
How many times does 65 go into 468?
Answer:
7 whole times, 7.2 decimal times
Step-by-step explanation:
Divide the numbers
Paula wants to divide 480 tomatoes
equally among 80 baskets. How many
tomatoes will Paula put in each basket?
Answer:
6 tomatoes
Step-by-step explanation:
480/80=6
Answer:
6 tomatoes
Step-by-step explanation:
480 ÷ 80
=> 6 tomatoes
Hoped this helped.
Find and intercept the slope of this line.
Answer:
The slope is -4. The amount of money left goes down by 4 with each comic book.
Step-by-step explanation:
The answer is D
100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)
Answer:
[tex]t=-5[/tex]
Step-by-step explanation:
[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]
[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]
[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]
[tex]2t = t-5[/tex]
[tex]t=-5[/tex]
Find the perimeter. Simplify your answer.
7y+10+7y+10+y-4
14y+20+y-4
15y+20-4
15y+16
answer= 15y+16
Answer:
7y+10+7y+10+y-4=
(7y+7y+y)+(10+10-4)=
15y+16=
dont mind this i just need the achivement
Answer:
K cool
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ASAP PLEASE!!!!!!
Answer:
B
Step-by-step explanation:
In a function, every x-coordinate must be a different number.
If the same number appears more than once as an x-coordinate, it is not a function.
Answer: B
(25)2
(
2
5
)
2
× 100 ÷ 23
2
3
+ [24 ÷ (13 – 5)] = 14
8 divided by 2/3+2 = 14
Answer:
4 better explanation inbox
Step-by-step explanation:
The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7
Answer:
D) 13.7
Step-by-step explanation:
Plz help fast I will mark Brainlyist
