All categories

4 years ago

A rectangle has a height of 2 and a width of 5x^2-2x+3x

Mathematics

1 answer:

earnstyle [38]4 years ago

3 0

Answer:

$area = 10x^2 - 4x + 6$

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of $5x^2 - 2x + 3$

Area of the whole rectangle can be calculated as:

$area = 2(5x^2 - 2x + 3)$

Use the distributive property of multiplication by using 2 to multiply each term in the expression, $(5x^2 - 2x + 3)$

$area =2(5x^2) +2 (-2x) + 2(3)$

$area = 10x^2 - 4x + 6$

You might be interested in

Number Sense A bike helmet has a

Zarrin [17]

Answer: The estimate is greater than the actual mass.

6 0

2 years ago

Read 2 more answers

Solve the problem. For a standard normal distribution, find the percentage of data that are between 3 standard deviations below

solong [7]

Answer:

83.85%

Step-by-step explanation:

We will use the empirical rule. For a standard normal distribution the mean is equal to 0 and the standard deviation is equal to 1. Then, between 3 standard deviations below the mean, we have 2.35% + 13.5% + 34% = 49.85% of data, and 1 standard deviation above the mean we have 34% of data. Therefore, the percentage of data that are between 3 standard deviations below the mean and 1 standard deviation above the mean is 49.85%+34% = 83.85%.

7 0

4 years ago

g Let P be the plane that goes through the points A(1, 3, 2), B(2, 3, 0), and C(0, 5, 3). Let ` be the line through the point Q(

Sedbober [7]

Answer:

(x, y, z) = (1, 1/3, 3 1/3)

Step-by-step explanation:

The normal to plane ABC can be found as the cross product ...

AB×BC = (1, 0, 2)×(2, -2, -3) = (4, 1, 2)

Then the equation of the plane is ...

4x +y +2z = 4·0 +5 +2·3 . . . . using point C to find the constant

4x +y +2z = 11

The direction vector of the reference line is the vector of coefficients of t: (0, -1, 2). Then the line through point Q is ...

(x, y, z) = (1, 2, 0) +t(0, -1, 2) = (1, 2-t, 2t)

The value of t that puts a point on this line in plane ABC can be found by substituting these values for x, y, and z in the plane's equation.

4(1) +(2 -t) +2(2t) = 11

Solving for t gives ...

t = 5/3

so the point of intersection of the plane and the line is

(x, y, z) = (1, 2-t, 2t) = (1, 2-5/3, 2·5/3) = (1, 1/3, 3 1/3)

5 0

3 years ago

The sides of a triangle are 3 1 2 cm , 4 2 5 cm and 5 1 4 cm respectively. what is its perimeter?

AURORKA [14]

Answer:

1251 cm

Step-by-step explanation:

Perimeter is just adding the side lengths together.

6 0

2 years ago

Which expression is equivalent to 36x² - 25?

snow_lady [41]

Answer:

$\boxed{ \rm(6x)²-(5)²}$

Step-by-step explanation:

Given expression/polynomial :

$3 6{x}^{2} - 25$

Let's evaluate.

We can re-write the polynomial as

$6 {}^{2} x {}^{2} - 5 {}^{2}$

Further

${(6x) {}^{2} - 5 {}^{2} }$

Hence, the expression is equivalent to last Choice, (6x)²-(5)².

<em>-Regards, Hannah </em>:)

4 0

2 years ago