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3 years ago

Given ABC with A(0, 0), B(2, 3), and C(4,0), prove ABC is isosceles

Mathematics

1 answer:

Likurg_2 [28]3 years ago

5 0

Step-by-step explanation:

1. if to calculate the length of AB; AC and BC, then:

$|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.$

$|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.$

$|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.$

2. if to compare the calculated lengths, then:

AB=BC. It means the given triangle is isosceles.

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Translate the following phrase below into an algebraic expression:

nexus9112 [7]

D. N/88=16
quotient means divisions so the quotient of a number and 88 is n/88.

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3 years ago

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Write the numbers in order from greatest to least.<br> -4, 2 1⁄5, -2 3⁄4, 1⁄10

Leviafan [203]

Answer:

2 1/5, 1/10, - 2 3/4, -4

Step-by-step explanation:

If you're ever confused about whether a number is greater than another number, think about them on a number line. If the number is further to the left than another number, it is less (for example, 0 is further to the left than 2).

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3 years ago

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Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

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3 years ago

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Mario start collecting stamps in January and buys 12 stamps each month.Karen starts collecting stamps in July and buys 18 starts

Goryan [66]

Answer:

12 months

Step-by-step explanation:

Given that:

Mario:

12 stamps per month

Since January

Karen :

18 stamps per month

Starts on july

Number of stamps collected by Mario till the end of June :

12 * 6 = 72 stamps

For Mario :

72 + 12x

For karen:

18x

Where x is the number of months after karen starts :

Equate both equations

72 + 12x = 18x

72 = 18x - 12x

72 = 6x

x = 72/6

x = 12

After 12 months

Number of months after karen starts, will they have same amount of stamp

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3 years ago

Plsssss answer it’s due in 5 min plsssss

earnstyle [38]

Answer: The first one is perpendicular

The second one is parallel

The third one is neither

Hope this helps :)

Step-by-step explanation:

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2 years ago