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harkovskaia [24]
3 years ago
13

The length of a rectangle is 3yd less than twice the width, and area of the rectangle is 27yd^2. Find the dimensions of the rect

angle
Mathematics
1 answer:
Llana [10]3 years ago
3 0
Width= 4.5 yards
length= 6 yards
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Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.
Tems11 [23]

Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}  

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

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

m=\dfrac{1-0}{3-0} = \dfrac{1}{3}

Step 2: Find the slope of CD (opposite and reciprocal of OB)

m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      <em>distributed -3 into (x - 3)</em>

y      = -3x + 10    <em>added 1 to both sides</em>

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

\dfrac{10}{3}=x    <em>divided both sides by -3</em>


3 0
2 years ago
2
Rainbow [258]

Answer:

tha anser us B

Step-by-step explanation:

it is very easy you just read the question carefully

6 0
3 years ago
If a circle has a circumference of 103 find the arc inercepted by a central angle of 115
castortr0y [4]
360 divided by 115 = 3.13. Then you divide the 103 by the 3.13 = 32.90 
8 0
3 years ago
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