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2 years ago

Calculate each stope between the given two points.

Mathematics

1 answer:

Gnesinka [82]2 years ago

8 0

Change in y over change in x is key

(4-1)/(5-6)=3/-1
13. -3

(9-4)/(2-0)=5/2
14. 5/2

(1-(-2))/(-6-4)=3/-10
15. -3/10

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Which side lengths form a right triangle?

Natalija [7]

Answer:

this is kinda confusing..So ill just answer the first question.

<h3>Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.</h3>

hope it helps.

5 0

2 years ago

I need this answered in ONE minute

Helen [10]

Answer:

$x^4 + 4x^3 + 6x^2 + 7x + 2$

Step-by-step explanation:

We are asked to multiply the given polynomials.

$(x^ 2 + 3x + 1) \times (x^2 + x + 2)$

Multiply each term of the first polynomial to each term of the second polynomial.

$x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2$

$3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x$

$1 \times (x^2 + x + 2) = x^2 + x + 2$

Add the results

$(x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)$

Combine the like terms

$x^4 + 4x^3 + 6x^2 + 7x + 2$

The answer is written in descending powers of x.

7 0

2 years ago

What is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides?

Viktor [21]

Let’s find the volume of the small cubes.
1/3^3
1/27
Now multiply this by 567
567•(1/27)
21
The volume of the box is 21 inches cubed.

8 0

3 years ago

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

Angle A is an acute angle in a right triangle

Brrunno [24]

Cos= 24/25

7^2+24^2=25^2

3 0

3 years ago

Read 2 more answers