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3 years ago

PLEASE HELP URGENTttttttt

Mathematics

1 answer:

bezimeni [28]3 years ago

8 0

Y=2/3x - 1
written in slope intercept form

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find the length of the hypotenuse of a right triangle with legs of 12 ft and 16 ft. A 11 ft. B 18 ft. C 20 ft. D 28 ft

9966 [12]

C 20ft, shoukd be the answer.

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3 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

What is the x and y intercept of f (x) = -x^2 + 25

Masja [62]

Answer: the x intercept is -5 and the y intercept is 25.

Step-by-step explanation:

f(x) = -x^2 + 25

The x intercept is when y is zero and the y intercept is when x is zero.So input zero into the expression and solve for y.

-1(0)^2 + 25 = 25 so the y intercept is 25.

0=-x^2 +25

-25 -25

-25 = -x^2

x^2 = 25

x = -5 or 5

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3 years ago

The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup

Anuta_ua [19.1K]

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

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2 years ago

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Charra [1.4K]

Percentage of working employees is 55.56
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3 years ago