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2 years ago

What the area of 7.6km and 5km

Mathematics

1 answer:

myrzilka [38]2 years ago

6 0

Answer:

the area of a triangle = 19 km²

Step-by-step explanation:

area of a triangle = 1/2 b h

where b = 5km

h = 7.6 km

plugin values into the formula:

A = 1/2 (5) 7.6

A = 19 km²

therefore,

the area of a triangle = 19 km²

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58 = –2(m + 4) + m –22 –50 –66 –33

Anika [276]

Assignment: $\bold{Solve \ Equation: \ 58=-2\left(m+4\right)+m}$

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Answer: $\boxed{\bold{m=-66}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Switch Sides

$\bold{-2\left(m+4\right)+m=58}$

[ Step Two ] Expand $\bold{-2\left(m+4\right)+m}$

$\bold{-m-8}$

[ Step Three ] Rewrite Equation

$\bold{-m-8=58}$

[ Step Four ] Add 8 To Both Sides

$\bold{-m-8+8=58+8}$

[ Step Five ] Simplify

$\bold{-m=66}$

[ Step Six ] Divide Both Sides By -1

$\bold{\frac{-m}{-1}=\frac{66}{-1}}$

[ Step Seven ] Simplify

$\bold{x=-66}$

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$\bold{\rightarrow Mordancy \leftarrow}$

3 0

3 years ago

Read 2 more answers

What’s is the value for X+8=12

Luba_88 [7]

Answer:

Step-by-step explanation:

X+8= 12

Carry over the 8 and make X the subject.

X= 12-8

X= 4

3 0

2 years ago

Read 2 more answers

Juniors and seniors were surveyed about whether they plan to attend a school dance.

allochka39001 [22]

Mistake D. The response from seniors was reversed.

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2 years ago

An n × n matrix B has characteristic polynomial p(λ) = −λ(λ − 3) 3 (λ − 2) 2 (λ + 1). Which of the following statements is false

asambeis [7]

Answer:

Only d) is false.

Step-by-step explanation:

Let $p=p(\lambda)=\lambda(\lambda-3)^3 (\lambda-2)^2 (\lambda+1)$ be the characteristic polynomial of B.

a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)

b) Remember that $p(\lambda)=\det(B-\lambda I)$ . 0 is a root of p, so we have that $p(0)=\det(B-0 I)=\det B=0$ .

c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.

d) det(B)=0 by part c) so B is not invertible.

e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.

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2 years ago

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =

ira [324]

Answer:

F(x-h) = x² + 2xh +h² +2

Step-by-step explanation:

F(x) = x² + 2, x∈R

F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2

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2 years ago