If u have 8 points how many triangles can u make with

I NEED URGENT ASSISTANCE

Nata [24]

Answer:

8 C sometimes

9 64x^8 y^11

10 c 1.28r^2/ t^9

Step-by-step explanation:

Algebraic Operations

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

Answer: C sometimes

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

A. {0,1,2,3,4} B. {1,2,3,4} C. {-1,0,1,2,3} D. {-2,-1,0,1,2,3,4}

Harlamova29_29 [7]

Option D:

The set is {-2, -1, 0, 1, 2, 3, 4}.

Solution:

Given set:

$\{x \in Z:-2 \leq x \leq 4\}$

Z means integer values.

Integer means set of positive and negative values including zero.

$-2 \leq x \leq 4$

This means x lies between -2 and 4.

If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.

The integers are -2, -1, 0, 1, 2, 3 and 4.

So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}

Hence the given set is defined by the set {-2, -1, 0, 1, 2, 3, 4}.

Option D is the correct answer.

6 0

3 years ago

Consider the function f(x)=15x^2+60x-19 Name the vertex for the function

Assoli18 [71]

The vertex for this function would be (-2,-79)

5 0

3 years ago

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Devin's Crackers will make 7,536 ounces of cheese crackers next year. The company plans to put the crackers into 48-ounce boxes.

Arturiano [62]

Answer:

157 boxes

Step-by-step explanation:

Take the total amount of ounces to be made, and divide by the 'size' of the box. with 7,536 ounces to be made and the boxes being 48 ounces: 7536/48 will equal 157 boxes filled.

5 0

3 years ago

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Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as

Schach [20]

Hello, I am papaguy

Here is your answer

In terms of distance, the average speed for the total x miles you'd travel would be 50 miles per hour. However, if you include the fact that you spent less time traveling 60 miles per hour than 40, the average would be closer to 40 than 60 miles per hour.

Please note this is information you can use do not copy and paste.

Thank you papaguy And If I am wrong I will look into it!

8 0

3 years ago

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