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nignag [31]
3 years ago
6

I WILL GIVE BRAINLIEST TO FIRST GOOD ANSWER: A pizza shop has the following optional toppings: pepperoni, sausage, peppers, and

onions. All pizzas come with cheese. How many different combinations of toppings are possible?
Please explain how you got it
Mathematics
2 answers:
g100num [7]3 years ago
6 0

Answer:

Im Sure there is 10 different combinations.

Step-by-step explanation:

Natalija [7]3 years ago
4 0

Answer:

14

Step-by-step explanation:

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Find the distance from the point (1,4) to the line y = 1/3x - 3
Troyanec [42]

Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):

d=\sqrt{(1-x)^2+(4-y)^2}

but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:

d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 } and simplify:

d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }

. No we'll expand each binomial by squaring:

d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2)  }

.  Combining like terms gives us

d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50  }

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

\frac{20}{9}x-\frac{20}{3}

Setting equal to 0 and getting rid of the denominators gives us

20x - 60 = 0

Solving for x gives us

20x = 60 and x = 3.

That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50   }

which simplifies down, finally, to

x ≈ 6.325 units

8 0
2 years ago
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of
just olya [345]

Answer:5x+3y+1=0

Step-by-step explanation:

Given

The linear equation is 5x+3y-9=0

The other linear equation parallel to the given line can be represented by

5x+3y+c=0

Here, c can take any value . for example c=1, line becomes

\Rightarrow 5x+3y+1=0

8 0
3 years ago
Apply the distributive property to create an equivalent expression.
Bumek [7]

Given:

The expression is

(1-2g+4h)\cdot 5

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

a(b+c)=ab+ac

Where, a, b and c are real numbers.

We have,

(1-2g+4h)\cdot 5

Using distributive property, we get

=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5

=5-10g+20h

Therefore, the expression 5-10g+20h is equivalent to the given expression.

8 0
2 years ago
Read 2 more answers
What is 4 divide 120<br> Show me that<br> divide by 120
Lena [83]

Answer: 120 divided by 4 = 30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation is true?
ch4aika [34]

Answer : 9x^2 - 25 = (3x - 5)(3x + 5)

(1) 9x^2 - 25 = (3x - 5)(3x - 5)

Use FOIL method to mulitply (3x – 5)(3x – 5)

(3x - 5)(3x - 5)  = 9x^2 - 30x + 25

(2) 9x^2 - 25 = (3x - 5)(3x + 5)

Use FOIL method to mulitply (3x - 5)(3x + 5)

(3x - 5)(3x - 5)  = 9x^2 - 15x + 15x - 25 = 9x^2 - 25

(3) 9x^2 - 25 = -(3x + 5)(3x + 5)

Use FOIL method to mulitply -(3x + 5)(3x + 5)

-(3x + 5)(3x + 5)  = -(9x^2 + 30x + 25) = -9x^2 -30x -25

(4) 9x^2 - 25 = -(3x + 5)(3x - 5)

Use FOIL method to mulitply -(3x + 5)(3x - 5)

-(3x + 5)(3x - 5)  = -(9x^2 - 25) = -9x^2 + 25

So equation 2 is true

6 0
3 years ago
Read 2 more answers
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