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3 years ago

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The area of a rectangular pool is given by the trinomial 2y2 + 5y – 42. What are the possible dimensions of the pool? Use factor

ing.
A. 2y + 7 and y – 6
B. 2y – 2 and y + 6
C. –2y – 7 and –y – 6
D. 2y – 7 and y + 6

1 answer:

arsen [322]3 years ago

3 0

Answer:

D is your answer

Step-by-step explanation:

(2y-7) (y+6) that is my answer and it matches with D promise 100%

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Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o

Vlada [557]

Answer:

$-2.813$

Step-by-step explanation:

Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):

$(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}$

$\left(\frac{1}{\cos 245^{\circ}}+\frac{\sin 45^{\circ}}{\cos 45^{\circ}} \right)\cdot \left(\frac{\cos 37^{\circ}}{\sin 37^{\circ}} \right) - 2\cdot \cos 60^{\circ}$

$(-2.366 + 1 )\cdot (1.327) - 1$

$-2.813$

7 0

3 years ago

Select the correct answer from the drop-down menu.

Archy [21]

-2,-2 I think that’s the answer

5 0

3 years ago

Read 2 more answers

Write 85% as it's fraction, as simply as possible

cricket20 [7]

Hey ! there

Answer:

Simplest fraction form of 85% is <u>1</u><u>7</u><u>/</u><u>2</u><u>0</u><u> </u><u>.</u>

Step-by-step explanation:

Question says that we have to write the <u>simplest</u><u> </u><u>form </u><u>of </u><u>8</u><u>5</u><u>%</u><u> </u><u>as </u><u>it's </u><u>fraction</u><u> </u><u>.</u>

<u>Solution </u><u>:</u><u> </u><u>-</u>

$\quad \longrightarrow \qquad \:85\%$

We know that ,

Percent ( % ) = <u>1</u><u>/</u><u>100</u>

So ,

$\quad \longrightarrow \qquad \: 85 \times \dfrac{1}{100} \:$

or ,

$\quad \longrightarrow \qquad \: \dfrac{85}{100}$

Reducing the fraction by cancelling it by 5 :

$\quad \longrightarrow \qquad \: \dfrac{ \cancel{85}}{ \cancel{100}}$

We get :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{\dfrac{17}{20} }}}} \quad \bigstar$

Now , we can't reduce 17/20 .

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>1</u><u>7</u><u>/</u><u>2</u><u>0</u><u> </u><u>is </u><u>the </u><u>simplest</u><u> </u><u>form </u><u>of </u><u>8</u><u>5</u><u>%</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

4 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)

<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)

8 0

3 years ago

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

Debora [2.8K]

Write a recursive and explicit formula for each option.

The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = $a_{n-1} *2$

=> explicit an = 0.05* $2^{n-1}$

The Gaineys

Start their savings by saving $10 on the first day and then $10 each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = $a_{n-1} +10$

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

8 0

3 years ago