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Marina86 [1]
3 years ago
7

Solve the system by using a matrix equation.4x-3y=66x-4y=4​

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

The answer to your question is:

x = -6

y = -10

Step-by-step explanation:

Δ = \left[\begin{array}{ccc}4&-3\\6&-4\end{array}\right] \\

Δ = -16 + 18

Δ = 2

Δx = \left[\begin{array}{ccc}6&-3\\4&-4\\\end{array}\right]

Δx = -24 +12

Δx = -12

Δy = \left[\begin{array}{ccc}4&6\\6&4\\\end{array}\right]

Δy = 16 - 36

Δy = -20

x = -12/2 = -6

y = -20 / 2 = -10

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Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0
3 years ago
Help pls it’s due soon make sure to follow the steps I don’t get it
amm1812
The final answer that i got from this was -x-13

6 0
3 years ago
Find the square root of -36.<br> A-6<br> B 6<br> C Cannot be done
r-ruslan [8.4K]

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

6 0
3 years ago
A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi
MissTica

Answer:

Step-by-step explanation:

Given

Restrained Force F=116 N

Increase in Kinetic Energy \Delta K.E.=30 J

Distance moved d=1.9 m

Work done by all the forces is equal to change in Kinetic Energy of Object i.e. by gravity force, Normal force and Applied Force

\Delta K.E.=W_g+W_f+W_N

30=W_g-F\cdot d

30=W_g-116\cdot 1.9

W_g=250.4 J

(b)In absence of applied force thus

work done by gravity will be equal to  change in kinetic Energy

change in Kinetic Energy=210 J

6 0
4 years ago
Write an equation in point-slope form of a line with a slope of –4 that goes through the point J(–5, 6).
Fittoniya [83]
The equation is y = -4x + 26.
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3 years ago
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