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3 years ago

HELP?

Mathematics

1 answer:

poizon [28]3 years ago

4 0

My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.

The solutions are
(x, y) = (-0.5, 7.5)
(x, y) = (3, 25)

_____
When you equate the expressions for y, you get the quadratic
2x² -5x -3 = 0
(2x +1)(x -3) = 0
x = -1/2 or 3
y = 5(x +2) = 15/2 or 25

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Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.

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Answer:

y = dependent variable

k = constant of proportionality or constant rate of change

x = independent variable

Step-by-step explanation:

The equation, $y = mx$ represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

k represents the constant of proportionality or constant rate of change

x represents the independent variable

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3 years ago

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At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a

juin [17]

Answer:

$18.99

Step-by-step explanation:

Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5

Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99

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3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

Rom4ik [11]

Answer:

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Step-by-step explanation:

This figure is a combination of two semi-circles.

One having diameter of 2 inches i.e. AD
Other having diameter of 4 inches i.e. AC

$\pi ={\frac {C}{d}}$

${{{C}}}=\displaystyle \pi.d$

Perimeter of the big figure could be computed by cutting the perimeters of each circle in half, and then combing them together.

Area could be computed using the same way.

Calculating the Perimeter:

As the circumference of the smaller circle is 2π in. Cutting it half would yield the circumference of the smaller semi-circle i.e. π.

As the circumference of the bigger circle is 4π in. Cutting it half would yield the circumference of the bigger semi-circle i.e. 2π.

As the length of the segment DC is 2 in.

So, the total perimeter would be: π + 2π + 2 = 3π + 2 in

Calculating the Area

Area could be computed using the same way as we did during measuring perimeter.

As the area of circle is

$A={\displaystyle \pi.r^{2}$

As we are dealing with semi-circles. So, cutting the diameters of two semi-circles in half can let us find the radii of them.

So,

Smaller semi-circle has 1 in radius
Larger semi-circle has 2 in radius

Areas would have to be cut in half as well, as we are dealing with semi-circles.

So,

For smaller:

$A_{small} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi.(1)^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi$

Hence, the area of smaller will be: π/2 in²

For larger:

$A_{larger} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{larger} =\frac{1}{2} {\displaystyle \pi.(2)^{2}$

$A_{larger} =2 \pi^{}$

Hence, the area of larger will be: 2π in²

Combining them together:

$\frac{1}{2} {\displaystyle \pi^{} + 2 {\displaystyle \pi^{}=\frac{5}{2} {\displaystyle \pi^{}$

Therefore,

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Keywords: radius, area, perimeter, semi-circle, circle, diameter, circumference of circle

Learn more about circle measurements from brainly.com/question/3855576

#learnwithBrainly

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3 years ago

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Answer:

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Step-by-step explanation:

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