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3 years ago

15

Simplify to create an equivalent expression 2 - 4 * 5 p + 1

1 answer:

ahrayia [7]3 years ago

8 0

2 - 4 * 5p + 1

Simplified, this equation looks like this:

4 * 5p = 20p

2 - 1 = 1

20p + 1 is the simplified form of this equation.

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Leya [2.2K]

9514 1404 393

Answer:

clockwise
90°
origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

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∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.

6 0

3 years ago

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> ) ==> d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em> ==> d<em>y</em>/d<em>t</em> = -2

and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

2 years ago

Jacob needs less than 5 C's on his transcript to qualify for UGA. He already has 1 C. At most, how many more C's can he get and

victus00 [196]

<span>C' x + 1 < 5 ; x < 4 ...............................................................................................</span>

6 0

3 years ago

Read 2 more answers

Solve 2(x + 1) = 2x + 2. (1 point)<br> ♡<br> 0<br> O<br> All real numbers<br> No solution<br> 1

sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

6 0

2 years ago

Find the degree measure of each angle of the triangle

Karo-lina-s [1.5K]

Answer:

51,51 and 78

Step-by-step explanation:

3x+9=4x-5

3x=4x-14

-x=-14

x=14

8 0

2 years ago

Read 2 more answers