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2 years ago

5. Solve. 1/2 p +9/ 4 = 7 / 4

Mathematics

1 answer:

Papessa [141]2 years ago

4 0

Answer:P=-1

Step-by-step explanation:

1/2-1+9/4=7/4

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Box all final answers. Little to no work will reccive little to no credit! I. (5 points) Let A and B be 4 x 4 matrices, with det

FinnZ [79.3K]

Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

$\mid AB\mid=\mid A\mid.\mid B\mid\\\\\mid AB\mid=-3\times 2=-6$

b) det (B⁵ )

$\mid B^5\mid=\mid B\mid ^5=2^5=32$

c) det (2A)

Since we know that

$\mid kA\mid =k^n\mid A\mid$

so, it becomes,

$\mid 2A\mid =2^4\mid A\mid=16\times -3=-48$

d) $\bold{det(A^TA)}$

Since we know that

$\mid A^T\mid=\mid A\mid$

so, it becomes,

$\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9$

e) det (B⁻¹AB)

As we know that

$\mid B^{-1}\mid =\mid B\mid$

so, it becomes,

$\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12$

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

6 0

3 years ago

I need your help guys !!!!!!!!

Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

Distance between the house and tower is 35 m
The height of the tower is 60 m
The height of the house is 25 m

$\bold{\underline{ Now}}$

Height of the house is 25m

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

Therefore,

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

Now, In Right angled ABC

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

$\bold{ tan Φ = 45 °}$

$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

7 0

2 years ago

Angle 2 is 2x+10 angle 4 is 4x+80 solve for x

Airida [17]

Answer:

Step-by-step explanation:

Angle 2 is 2x+10

angle 4 is 4x+80

and from the figure we can understand that when we add these 2 equations

We get

6x+ 90= 180

6x = 180 - 90= 90

6x= 90

x = 90 ÷ 6 = 15

answer = 15

7 0

2 years ago

Use the substitution method Y=-2x+11 y=-3x+21

gogolik [260]

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Y = 2 y /3 − 3

x = − y /3 + 7

Hope this helped!

6 0

3 years ago

Find all solutions of the equation in the interval [0,2pi).

Setler79 [48]

Csc theta=-2 then theta equals csc^-1(-2) then theta would equal 5pi/6, 7pi/6

3 0

2 years ago