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3 years ago

7

PLEASE HELP !!!!

1 answer:

Eva8 [605]3 years ago

8 0

The first answer is A because (b+6) represents the sidewalk length. (With the pool length and the two corners, which equal 3 ft each.) Then, the sidewalk width would be (h+6) for the same reason. Multiply them and get the pool area plus the sidewalk area. But you only need the sidewalk area so you would subtract the pool area from the whole area, to get (b+6)(h+6)-bh, or A in the end.

Unfortunately, I do not know the answers to the rest of the problems. I still hope this helped though!

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

3 years ago

Find the missing angle<br>PLZ HELP

Nadusha1986 [10]

Answer:

The answer is 94 degrees.

Step-by-step explanation:

The total number of degrees in a triangle is 180.

So you would subtract 35 and 51 from 180.

180-35-51=94

Hope this helps <3

6 0

3 years ago

Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?

kompoz [17]

Answer:

91

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

let x be his test score of his last test , then

$\frac{86+70+72+100+96+80+x}{7}$ = 85 ( multiply both sides by 7 )

504 + x = 595 ( subtract 504 from both sides )

x = 91

4 0

3 years ago

What is 3 to the second power times 5+4

kotegsom [21]

I think it’s 49 I just looked it up

7 0

4 years ago

Read 2 more answers

Please help me on this

Alchen [17]

Answer:

btw the pic is not loading and i am sure if you just listened to your teacher you would understand the question and it would not be so hard.

Step-by-step explanation:

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3 years ago