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Sveta_85 [38]
3 years ago
10

4x+2y=6 what is the x intercept of the given equation in standard form . Show your solving steps . Please help

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

(1.5,0)

Step-by-step explanation:

The x intercept is where y=0

so we can just plug in 0 for y and solve for x

4x+2(0)=6

4x=6

x=6/4

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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

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so

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

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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

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