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3 years ago

7

The formula for the area,A, of a trapezoid is shown below, where ݄H represents its height and b1 and b2

1 answer:

emmainna [20.7K]3 years ago

4 0

One equivalent is $A=h( \frac{ b_{1}+b_{2} }{2})$

Another example is $A= \frac{(b_{1}+b_{2})(h)}{2}$

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7g:1kg to its simplest form

hammer [34]

Answer:

7kg:1kg=7:1 itself

Because 7 and 1 has one '1' as a common factor, so they can't be simplified

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3 years ago

Three classes at a school have 18, 24, and 27 students. All three will be divided into project groups. Each group must have the

VLD [36.1K]

Answer:

The largest possible group size is 3 students.

Step-by-step explanation:

The greatest common factor (GCF) of the numbers 18, 24, and 27 is 3. That is, the largest number that can be divided into all three numbers.

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3 years ago

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

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3 years ago

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)

natita [175]

1/3 . 1/3 i just took the test.

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3 years ago

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Given a circle with a diameter of 8, which equation expresses π as the ratio of the circumference of a circle to its diameter?

telo118 [61]

Circumference = diameter x $\pi$ = 8 $\pi$

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3 years ago