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Mathematics

2 answers:

olga_2 [115]2 years ago

6 0

Answer:

Step-by-step explanation:

4y-9+4y simplified by combining like terms is 8y-9

Anna71 [15]2 years ago

4 0

Answer:

C. 4y - 9 + 4y

Step-by-step explanation:

C. 4y - 9 + 4y

Collect like terms:

4y + 4y - 9

Combine like terms:

8y - 9

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Find all solutions of the equation in the interval [0,2π) sec(theta) +2=0

Komok [63]

I will first reveal the most obvious secret of trig: Most of the problems are 30/60/90 or 45/45/90 triangles of some sort.

$\sec \theta + 2 = 0$

$\dfrac{1 }{ \cos \theta} = -2$

$\cos \theta = - \frac 1 2$

The rule to remember is $\cos x = \cos a$ has solutions

$x = \pm a + 2 \pi k \quad$ integer $k$

Continuing where we left off, a cosine of -1/2 is a 30/60/90 triangle in the second or third quadrant; we pick second, and a little thought tells us the angle is $120^\circ$ .

$\cos \theta = - \frac 1 2$

$\cos \theta = \cos \frac {2\pi} 3$

$\theta = \pm \frac {2\pi} 3 + 2 \pi k \quad$ integer $k$

In the range we want, that's $k=0$ with the plus sign and $k=1$ with the minus, so

$\theta = \frac {2\pi} 3$ or $-\frac {2\pi} 3 + 2 \pi = \frac{4 \pi} 3$

$\theta = \frac {2\pi} 3$ or $\frac{4 \pi} 3$

6 0

3 years ago

Traces of surface x2 + y2 − z2 = 1. Determine the equation for the family of traces in x = n.

pickupchik [31]

Answer:

$\mathbf{y^2 -z^2 =1- n^2}$