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stich3 [128]
2 years ago
8

Help me with this math problem plz

Mathematics
1 answer:
Blizzard [7]2 years ago
6 0

Answer:

THe answer is 6.25x+12=30.75

Step-by-step explanation:

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39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
1 year ago
1. Solve and verify each of the following systems of linear equations.
kakasveta [241]
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ <u>10x - 5y =    5</u>
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                       <u>      - 34 - 34</u>
                               <u>5x</u> = <u>-40</u>
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ <u>10x +   4y =     32</u>
                                     <u>11y</u> = <u>2128</u>
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
              <u>     - 580.3636364  - 580.3636364</u>
                                       <u>2x</u> = <u>-148.3636364</u>
                                        2                2
                                         x = -74.1818182
                                   (x, y) = (-74.1818184, 193.4545455)
6 0
3 years ago
Read 2 more answers
A point is reflected in the x- axis. The reflected point is (2,1).
Evgesh-ka [11]

Answer:

A. (2,-1) b:2

Step-by-step explanation:

8 0
3 years ago
Need help explaining why this happens
Charra [1.4K]
Just like 2 squared = 4, the square root of 2 multiplied by itself will result in a product of 2. Squaring a number always means multiplying that number by the same number.
8 0
2 years ago
What is the equation of the line that is parallel to the
mixer [17]

Answer:

undefined

Step-by-step explanation:

6 0
3 years ago
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