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4 years ago

Do mathematicians PARTY

Mathematics

1 answer:

Cerrena [4.2K]4 years ago

4 0

Mathematicians do party but its not like a regular party lots of people go to.

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Convert to a form that reveals the zeros

Olin [163]

Answer:

$y=(x-3)(x-6)$

Step-by-step explanation:

Factor the expression to give you the result, or you can use the quadratic formula and notice you get 3 and 6.

5 0

4 years ago

A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer

marissa [1.9K]

Answer:

6 ft and 8 ft

Step-by-step explanation:

let x be the length of one leg then (x + 2) is the other leg.

Using Pythagoras' identity in the right triangle, that is

x² + (x + 2)² = 10² ← expand left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide all terms by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

But x > 0 ⇒ x = 6

Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft

6 0

4 years ago

Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is “nor

Olenka [21]

Answer:

He have 47 ducks and 7 cows.

Step-by-step explanation:

Given:

Farmer Jones raises ducks and cows.

He looks out his window and sees 54 animals with a total of 122 feet.

Now, to find the each type of animal he have.

Let the number of ducks be $x.$

And the number of cows be $y.$

So, total number of animals are:

$x+y=54$

$x=54-y$ ....( 1 )

As, the feet of cows are 4 and ducks are 2.

Now, the total number of feet are:

$2(x)+4(y)=122$

$2x+4y=122$

Substituting the value of $x$ from equation (1) we get:

$2(54-y)+4y=122$

$108-2y+4y=122$

$108+2y=122$

Subtracting both sides by 108 we get:

$2y=14$

Dividing both sides by 2 we get:

$y=7.$

The number of cows = 7.

Now, to get the number of ducks we substitute the value of $y$ in equation (1):

$x=54-y\\x=54-7\\x=47.$

The number of ducks = 47.

Therefore, he have 47 ducks and 7 cows.

4 0

3 years ago

"for r" <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Br%7D%7Bv%20%7D%20%20%2B%20a%20%3D%205" id="TexFormula1" title=" \frac{

BaLLatris [955]

r/v + a = 5

subtract a from both sides

r/v = 5-a

multiply by v on both sides

r = v*(5-a)

5 0

3 years ago

Read 2 more answers

One angle of a parallelogram measures 15º. What are the measures of the other three angles in

vichka [17]

Answer:

The opposite angle is 15 degrees. So that leaves you with 330 degrees for the last two sides which is 115 degrees each.

8 0

3 years ago