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3 years ago

Determine the domain of the following graph

Mathematics

1 answer:

Sonja [21]3 years ago

4 0

Answer:x is greater than or equal to -7 but less than 9.

Step-by-step explanation:

Find the lowest and higest points on the graph.

Remember the domain is on the x - axis.

The lowest point on the graph is -7, but the dot is filled in so it must be equal to it.

The next step is that the graph is getting larger so it is greater than or equal to.

On the other side of the graph do the same but it is less than not equal because the dot is open.

Step-by-step explanation:

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What is the equation of the line that passes through (-5,6) and (3,-10)??

Tanzania [10]

The equation is -2x-4. u can use y2-y1/x2-x1.

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3 years ago

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sweet [91]

Answer:

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Step-by-step explanation:

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3 years ago

Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap

bazaltina [42]

Answer:

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

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

Step-by-step explanation:

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

<em>The circumference of a quarter of circle is equal to</em>

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

substitute the given values

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

$C=6\pi\ cm$

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

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

$AC=\sqrt{288}\ cm$

simplify

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

Find the perimeter

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

simplify

Factor 6

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

6 0

3 years ago

6 yards 9 feet 4 inches multiplied by 2

kirill115 [55]

1 yard is 3 feet
1 foot is 12 inches

Convert everything into inches:
9 x 12 = 108 in.
6 x 3 = 18 ft.
18 x 12 = 216

Add the inches together:
108 + 216 = 324 in

Multiply the inches by 2:
324 x 2 = 648 in

The answer is 648 inches.

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3 years ago

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Firdavs [7]

Answer:

the answer is :.......

x+x+x

6 0

3 years ago