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4 years ago

WORTH 50 POINTS! :D

Mathematics

2 answers:

Zepler [3.9K]4 years ago

5 0

X- 10 if the perimeter is 63 it should be 53

nikitadnepr [17]4 years ago

3 0

An equilateral triangle's sides are all equal. So you can set up the following equation and solve.

3(x-10)=63
x-10=21
x=31

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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).

Nataliya [291]

Answer:

The exponential function that goes through $(x_{1},y_{1}) = (0,20)$ and $(x_{2}, y_{2}) = (2,720)$ is $y = 20\cdot 6^{x}$ .

Step-by-step explanation:

Let be an exponential function of the form $y = a\cdot b^{x}$ that goes through $(x_{1},y_{1}) = (0,20)$ and $(x_{2}, y_{2}) = (2,720)$ . Then, we have the following system of equations:

$20 = a\cdot b^{0}$ (1)

$720 = a\cdot b^{2}$ (2)

By dividing (2) by (1), we obtain the value for $b$ :

$\frac{720}{20} = b^{2}$

$b = \sqrt{\frac{720}{20} }$

$b = 6$

And the value for $a$ is found by (1):

$a = 20$

The exponential function that goes through $(x_{1},y_{1}) = (0,20)$ and $(x_{2}, y_{2}) = (2,720)$ is $y = 20\cdot 6^{x}$ .

3 0

3 years ago

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Law Incorporation [45]

Answer:

y = 7.5 $\sqrt{x}$

Step-by-step explanation:

given y is directly proportional to $\sqrt{x}$ then the equation relating them is

y = k $\sqrt{x}$ ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k $\sqrt{100}$ = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5 $\sqrt{x}$ ← equation of proportion

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2 years ago

I need help on this question

Makovka662 [10]

Answer:

Step-by-step explanation:

First off, you need to add up AB and BC. You would get the equation:

2(3x-4)=62, since there are two segments. Solve it/simplfy.

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Since you alreday solved one, you easily know the answer is c.

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3 years ago

Miss Smith bought 60 notebooks and 72 pencils to make identical packages with some notebooks and some pencils for her students.

agasfer [191]

Answer: 12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

The greatest common factor of 60 and 72 is 12. Thus divide both numbers(60 and 72) by 12 to get 5 and 6. Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.

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3 years ago

A cone with volume 5000 m³ is dilated by a scale factor of 15.

QveST [7]

Do you have answer choices or are they just fill in?

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4 years ago