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3 years ago

Answer the equation 1/4(2(x-1)+10=xI will mark first answer brainliest!

Mathematics

1 answer:

ElenaW [278]3 years ago

3 0

Answer:

Step-by-step explanation:1/4(2(x-2)+10=x

1/4(2x-2)+10=x

1/2x-1/2+10=x

1/2x-x=-10+1/2

-1/2x=-8

X=16

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

4 0

3 years ago

What is –9. 2(8x – 4) 0. 7(2 6. 3x) simplified? –69. 19x – 32. 39 –69. 19x 38. 2 –72. 2x 41. 21 75x – 338. 2.

trasher [3.6K]

The simplified form of the equation is $\rm -69.19x+38.2$ .

<h2>Given that</h2>

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>We have to determine</h3>

The simplified form of the equation;

<h3>According to the question</h3>

To determine the simplified form of the equation following all the steps given below.

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>To simplify the equation multiple the terms and solve.</h3>

Then,

The simplified form of the equation is,

$\rm =-9.2(8x - 4) + 0.7(2 + 6.3x)\\
\\
= (-9.2) (8x)- (-9.2)(4) + (0.7)(2) + (0.7) (6.3x)\\
\\
=-73.6x -(-36.8) +(1.4)+(4.41x)\\
\\
= -73.6x+36.8+1.4+4.41x\\
\\
=-69.19x+38.2$

Hence, The simplified form of the equation is $\rm -69.19x+38.2$ .

To know more about Equation click the link given below.

brainly.com/question/26252222

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2 years ago

I will give you brainlist if you answer this question in 5 mintues

algol [13]

(2,3)??? Maybe? I really don’t know

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2 years ago

Sin^2x=1/4. Find all solution on the interval [0,2pi).

steposvetlana [31]

I really don’t know I’m just answering questions that I know sorry

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3 years ago

If the coordinates of a triangle are (-2,-2) (-1,1) (1,-1) what would be the coordinates if I rotated the triangle 180 degrees c

EleoNora [17]

Answer:

(2,2), (1,-1) and (-1,1).

Step-by-step explanation:

If a point {say P(h,k)} be rotated by 180° about the origin in counterclockwise then the new point generated P' will have coordinates (-h,-k).

Now, if the coordinates of a triangle are (-2,-2), (-1,1), (1,-1) and rotated 180 degrees counterclockwise about the origin then, the coordinates of the new triangle will be (2,2), (1,-1) and (-1,1). (Answer)

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3 years ago