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2 years ago

4x- 2y = 8 2x + y =2

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

5 0

Answer:

x = 3/2 , y = -1

Step-by-step explanation:

I'm assuming that you are being asked to solve the system of equations for x and y.

given:

4x- 2y = 8 ---------------(1)

2x + y =2 -----------------(2)

We can solve this by elimination:

multiple (2) by 2, we get:

2(2x + y) =2(2)

4x + 2y = 4 ------------(3)

(1) + (3) , we get:

(4x- 2y) - (4x + 2y) = 8 + 4

8x = 12 (divide both sides by 8)

x = 12/8

x = 3/2 answer, substitute this into (2)

2(3/2) + y =2

3 + y = 2 (subtract 3 from both sides)

y = 2 - 3

y = -1 answer

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alex41 [277]

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

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2 years ago

Archeologists found a previously unknown pyramid in Central America, shown in the figure. The media is interested in the volume

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Answer: height of the pyramid is 52 m.

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2 years ago

The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

$\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3$

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

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3 years ago

A cylinder of manganese (length 4.00 cm, diameter = 1.00 cm) has a mass of 22.62 g. What is the density of manganese?

Gnom [1K]

Equation for density is mass/volume

Mass=22.62 g

Volume= 22/7 x 1/2^2 x 4

3.14 x 0.5 x 0.5 x 4

=3.14 cm3

Mass/ Volume

22.62/3.14

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2 years ago

A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q.

Annette [7]

The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)

<h3>What is a line segment?</h3>

A line segment is a straight line that passes through two given points.

The end points of the line determine how long or short a given line segment would be.

Analysis:

point Q(x, y )

x = $\frac{MX1 + NX2}{M+N}$

y = $\frac{MY1 + MY2}{M+N}$

where M :N = 4:1

x1 = 2, x2 = 4, y1 = -1, y2 = 2

x = $\frac{4(2) +1(4)}{4+1}$ = 12/5

y = $\frac{4(-1) + 1(2)}{4+1}$ = -2/5

In conclusion, the point Q is (12/5, -2/5).

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1 year ago