3 years ago

Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?

2 answers:

8 0

Answer:
5y=2
Step-by-Step Explanation:

Combine like terms:
8y + 4 = 6 + 3y

Bring the 3y over:
8y - 3y + 4 = 6

Combine like terms:
5y + 4 = 6

Bring the 4 over:
5y = 6 - 4

Your simplified answer:
5y = 2

Gelneren [198K]3 years ago

6 0

Answer:

5y=2

Step-by-step explanation:

8y + 4 = 6 + 2y + 1y

Combine like terms

8y+4 = 6+3y

Subtract 3y from each side

8y-3y+4 = 6+3y-3y

5y +4 = 6

subtract 4 from each side

5y+4-4 = 6-2

5y=2

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .