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2 years ago

If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.

Mathematics

1 answer:

Ksju [112]2 years ago

6 0

I think the answer would be negative 124 NOT SURE

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The product of 14 and the sum of 30 and an unknown number is equal to-196

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14 + 30 + 152 =196 14+30=44 44-196=152

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A bag contains 10 red marbles and 15 green marbles. If yuki selects a marble from the bag without looking,what is the probablity

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Step-by-step explanation:

If there are 10 RED marbles and 15 GREEN marbles it would be the number of red marbles out of the total number of marbles.

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How can you use the point-slope form of a line when only given two points?

pshichka [43]

Answer:

See below

Step-by-step explanation:

Point -slope form is:

y - y1 = m(x - x1)

By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.

How to find the slope?

Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2

Use the formula:

m = (y2-y1)/(x2-x1)

Example:

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y - 2 = -5(x - 9)

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3 years ago

Which best describes the line of symmetry in the letter M

Deffense [45]

Answer:

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Step-by-step explanation:

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3 years ago

Derive the formula for the area of a sector, and then use it to choose all that are correct.

Marina CMI [18]

Answer:

Part A) $A_s=\frac{\pi r^{2}}{360^o}{\theta}$

Part B) option 1,option 4

Step-by-step explanation:

Part A) Derive the formula for the area of a sector

we know that

The area of circle is equal to

$A=\pi r^{2}$

The area of circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector $A_s$ by a central angle of ∅ degrees

$\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}$

$A_s=\frac{\pi r^{2}}{360^o}{\theta}$

Part B) Verify each case

case 1) we have

radius = 5 cm

angle = 120°

area = 26.2 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}$

$A_s=26.2\ cm^2$

The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}$

$A_s=14.7\ cm^2$

The given value of area is not correct

case 3) we have

radius = 6 cm

angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}$

$A_s=26.7\ cm^2$

The given value of area is not correct

case 4) we have

radius = 7

angle = 75°

area = 32.1 cm 2

Find the area of the sector and then compare with the value of the given area

assume

$\pi=3.14$

substitute the given values

$A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}$

$A_s=32.1\ cm^2$

The given value of area is correct

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3 years ago