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3 years ago

Which of the following is not a solution to the equation - 2x + 3y=9.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

I believe it’s D, not sure though.

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The sum of three consecutive integers if the first is z

valentinak56 [21]

The answer should 1x

3 0

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

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Graph f(x) = 2 x + 3 + 2.

Fantom [35]

Answer:

<h3>HOPE IT'S HELPS YOU....</h3>

3 0

2 years ago

A system of two equations is shown.

Delvig [45]

Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

8 0

2 years ago

You and 4 friends meet to have dinner at your favourite restaurant. Everyone decides to order the nightly special. Write an expr

jok3333 [9.3K]

Answer:

Step-by-step explanation:

1 plus 4 is 5 and everyone is ordering the same thing, which is known as any variable, so in this case, x. So, you get 5x

6 0

3 years ago