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lisabon 2012 [21]
3 years ago
13

Need help with linear equations with substations

Mathematics
1 answer:
mezya [45]3 years ago
6 0
A way to solve a linear system algebraically is to use the substitution method. ... We can substitute y in the second equation with the first equation since y = y.
 
this is what i know about it
 
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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
2 years ago
If a+1,2a+1,4a-1 are in A.P, then the value of a is
Digiron [165]

Answer:

a = 2

Step-by-step explanation:

In an AP  the difference between consecutive terms is common (equal), thus

t₂ - t₁ = t₃ - t₂ , that is

2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides

2a + 1 - a - 1 = 4a - 1 - 2a - 1

a = 2a - 2 ( subtract 2a from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

6 0
2 years ago
Simplify 2 (n+1) + n² + 4 (n-3)
Gala2k [10]
2 (n+1) + n² + 4 (n-3) 
= 2n + 2 +  n² + 4n - 12 ...expand by using distributive property
=  n² + 6n - 10 ...combine like terms

hope it helps
4 0
2 years ago
Read 2 more answers
Reduce to the lowest term: 30/40
natulia [17]

Answer:

3/4

Step-by-step explanation:

Reduce both the numerator and the denominator by 10, their greatest common factor.

6 0
3 years ago
What is the factor of <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%2027" id="TexFormula1" title="
Ksju [112]

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

6 0
2 years ago
Read 2 more answers
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