YEAR 9 MATHS PLEASE HELP ME

Mathematics

1 answer:

Genrish500 [490]3 years ago

5 0

Answer:

Step-by-step explanation:

So we have two equations.

y=35x+40

y=40x+17.5

We want to find the coordinates in which they intersect.

BUT They never intersect, They are parallel to each other leaving us with a

NO SOLUTION

When you are trying to solve for x you want to get rid of the y's and simply put on your paper: 35x+40 = 40x+17.5

Then you distribute, in which I am not going to show because that too many steps lol. But you'll get:

x=4.5

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4^6 X 4^3<br><br> 4^9<br> 4^18<br> 12^9<br> 64^9

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Answer:

4^9

Step-by-step explanation:

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Write a polynomial that fits the description:

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This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

$A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}$

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

$A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}$