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Mazyrski [523]
2 years ago
9

If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Answer:

  • x - 5 and 2x + 3

Step-by-step explanation:

<h3>Given</h3>
  • Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
  • Dimensions of rectangle
<h3>Solution</h3>

<u>Since the area is the product of the sides, let's try to factorize the given:</u>

  • 2x^2 - 7x - 15=
  • 2x^2 - 10x + 3x - 15 =
  • 2x(x - 5) + 3(x - 5) =
  • (x - 5)(2x + 3)

<u>So the dimensions are:</u>

  • x - 5 and 2x + 3

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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
2 years ago
Rhian sat a Maths test and an English test.
stiks02 [169]
She scored better with math
7 0
2 years ago
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Which term in the arithmetic sequence 11, 4,-3 . . . is -129?​
telo118 [61]

Answer:

23rd term

Step-by-step explanation:

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4 0
2 years ago
A study was conducted to determine if there was a difference in the driving ability of students from West University and East Un
Sholpan [36]

Answer:

There is no significant evidence which shows that there is a difference in the driving ability of students from West University and East University, <em>assuming a significance level 0.1</em>

Step-by-step explanation:

Let p1 be the proportion of West University students who involved in a car accident within the past year

Let p2 be the proportion of East University students who involved in a car accident within the past year

Then

H_{0}:p1=p2

H_{a}:p1≠p2

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{\frac{p*(1-p)*(n1+n2)}{n1*n2} } }  where

  • p1 is the <em>sample</em> proportion of West University students who involved in a car accident within the past year (0.15)
  • p2 is the <em>sample</em> proportion of East University students who involved in a car accident within the past year (0.12)
  • p is the pool proportion of p1 and p2 (\frac{15+12}{100+100}=0.135)
  • n1 is the sample size of the students from West University (100)
  • n2 is the sample size ofthe students from East University (100)

Then we have z=\frac{0.03}{\sqrt{\frac{0.135*0.865*(100+100)}{100*100} } } ≈ 0.6208

Since this is a two tailed test, corresponding p-value for the test statistic is ≈ 0.5347.

<em>Assuming significance level 0.1</em>, The result is not significant since 0.5347>0.1. Therefore we fail to reject the null hypothesis at 0.1 significance

6 0
1 year ago
Which phrase describes the perpendicular distance between two bases of a cylinder
Flura [38]

Answer:

The height of the cylinder

Step-by-step explanation:

The perpendicular distance between two bases of a cylinder is not going to be the radius or diameter of the bases (because it is BETWEEN the bases, not ON them) and it is not the area of the bases because the area of a shape cannot be a distance.

So, the only option left is the height of the cylinder, which is the correct answer.

5 0
1 year ago
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