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V125BC [204]
2 years ago
12

Describe the pattern

Mathematics
1 answer:
krek1111 [17]2 years ago
3 0

Answer:

negative linear

Step-by-step explanation:

as you see the correlation is going negative in a linear line.

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0
3 years ago
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
slega [8]

Answer:

5740

Step-by-step explanation:

7 0
3 years ago
The vertices of a triangle are A(7,5) B(4,2) and C(9,2) what is mABC
shutvik [7]

Answer:

A(7,5)

Step-by-step explanation:

This is correct because the area of a triangle is b × h = a.

6 0
3 years ago
Read 2 more answers
What is the value of x?
Lesechka [4]

Answer:

C.

Step-by-step explanation:

2x-10/x-3=5/3 X=15

7 0
2 years ago
Read 2 more answers
Can someone please help me
svp [43]

Answer:

m < 2 = 137°

m < 4 = 137°

Step-by-step explanation:

Given that m < 7 = 43°, we can say that it has the same measure as < 3 because they are corresponding angles. Thus, we can establish that m < 3 = 43°.

We can use m < 3 = 43° to find m < 4, as they are supplementary angles that have a sum of 180°.

Therefore:

m < 3 + m < 4 = 180°

Rearrange the formula to isolate m < 4:

m < 4 = 180° - m < 3

Substitute the value of m < 3 into the rearranged formula:

m < 4 = 180° - m < 3

m < 4 = 180° - 43°

m < 4 = 137°

Therefore, m < 4 = 137°.

< 2 and < 4 also have the same measure because they are vertical angles.  Two angles are vertical angles if they are opposite angles formed by the intersection of two lines.  

Hence, m < 2 = 137°

Please mark my answers as the Brainliest if you find my explanations helpful :)

6 0
2 years ago
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