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timurjin [86]
3 years ago
6

A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

Area = 4x^6+12x^5+8x^4

Step-by-step explanation:

<u>The Complete Question:</u>

A rectangle has height  4x^3  and width  x^3+3x^2+2x. What is the area of the rectangle in terms of x?

<u>Solution:</u>

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4

This is the area of the rectangle.

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A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
ludmilkaskok [199]

The choices are missing, but we can solve the problem from the given information

Answer:

The equation which represents the circle is (x - 2)² + (y + 1)² = 16

Step-by-step explanation:

The form of the equation of a circle is (x - h)² + (y - k)² = r², where

  • (h , k) are the coordinates of its center
  • r is the radius of it

∵ The coordinates of the center of the circle are (2 , -1)

∴ h = 2 and k = -1

The radius of the circle is the segment whose join the center of the circle and any point on the edge of the circle

∵ The circle passes through point (-2 , -1)

∴ The radius of the circle is the distance from the center (2 , -1)

    and the point (-2 , -1)

The y-coordinates of the two points are equal that means the radius is a horizontal segment and its length is the difference between their x-coordinates

∵ r = 2 - (-2)

∴ r = 4

Now let us substitute h, k, and r in the form of the equation of the circle

∵ (x - 2)² + (y - -1)² = (4)²

∴ (x - 2)² + (y + 1)² = 16

The equation which represents the circle is  (x - 2)² + (y + 1)² = 16

7 0
3 years ago
A, B and C are points on a circle.
Ne4ueva [31]

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

8 0
3 years ago
What is the measure of z?
Lady bird [3.3K]

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

3 0
3 years ago
Learning Task 1: Choose the correct answer. Write your answers on your answer sheet.
irina [24]
Answer
Q1- c
Q2-c
Q3-d
Q4-b
Q5-a
3 0
3 years ago
Here are summary statistics for randomly selected weights of newborn​ girls: nequals202​, x overbarequals28.3 ​hg, sequals6.1 hg
Lorico [155]

Answer:

The confidence interval is 27.5 hg less than mu less than 29.1 hg

(A) Yes, because the confidence interval limits are not similar.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

mean = 28.3 hg

sd = 6.1 hg

n = 202

degree of freedom = n-1 = 202-1 = 201

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value corresponding to 201 degrees of freedom and 5% significance level is 1.97196

E = t×sd/√n = 1.97196×6.1/√202 = 0.8 hg

Lower limit = mean - E = 28.3 0.8 = 27.5 hg

Upper limit = mean + E = 28.3 + 0.8 = 29.1 hg

95% confidence interval is (27.5, 29.1)

When mean is 28.3, sd = 6.1 and n = 202, the confidence limits are 27.5 and 29.1 which is different from 27.8 and 29.6 which are the confidence limits when mean is 28.7, sd = 1.8 and n = 17

7 0
3 years ago
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