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Reptile [31]
2 years ago
15

The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?

Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

x = (5,0)

Step-by-step explanation:

To find the x-intercept, substitute y with 0 and solve for x.

x + 2(0) = 5

Then, simplify.

Multiply 2 by 0.

x + 0 = 5

Add x and 0.

x = 5

So, the result will be x = (5,0)

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A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
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Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

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3 years ago
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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Now, multiply 4.5 by 1.667 to find x:

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