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2 years ago

What image is the translation of ABC given by the translation rule (x,y) (x-3,y+5)?

Mathematics

1 answer:

Step2247 [10]2 years ago

8 0

Answer:

What is the reciprocal 1 1/3

Step-by-step explanation:

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Use the distributive property to write the following expressions in expanded form.

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

a. 4x+4y

b. 8a+24b

c. 6x+33y

d. 63a+54b

e. 3ac+bc

f. 2xy+11yz

7 0

2 years ago

Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago

Equivalent express15n+5n

makkiz [27]

♥ Let's solve:

15n+5n can be known as 15+5.

15+5=20 now add n.

Final answer: 20n

6 0

3 years ago

Read 2 more answers

Solutions to -8x + 5 less than or equal to 11

Vilka [71]

Answer:

$x\geq -\frac{3}{4}$

Step-by-step explanation:

$-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6$

Isolate the parts of the equation with the x variable

$2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}$

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

5 0

3 years ago

Read 2 more answers

I need these answers

AVprozaik [17]

Answer:

You are correct with all of your answers so far,...

Step-by-step explanation:

5) = 0 (-17 + 20 = 3,... 3 + -3 = 0)

6) = -34 (-34 + 25 = -9,... -9 + -25 = -34)

9) = -4 (7 + -11 = -4)

Chow,...!

4 0

2 years ago

Read 2 more answers