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Anika [276]
3 years ago
8

Solve: (5x - 3y + 2z)²

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

25x^{2} - 30xy + 20xz + 9y^{2}  - 12yz + 4z^{2}

Step-by-step explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25x^{2} - 15xy + 10xz - 15xy + 9y^{2} - 6yz + 10xz - 6yz + 4z^{2}

Add like terms

25x^{2} - 15xy - 15xy + 10xz + 10xz + 9y^{2} - 6yz - 6yz + 4z^{2}

25x^{2} - 30xy + 20xz + 9y^{2}  - 12yz + 4z^{2}

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How many ducks do you see?
tekilochka [14]

Answer:

13

Step-by-step explanation:

count the big ducks first

then go back and count the smaller ones

6 0
3 years ago
Calculate the gradient of the straight line which joins A(2,-3) and B(6,9)<br>​
Pie

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = \frac{Y2-Y1}{X2-X1}

m = \frac{9-(-3)}{6-(2)}

m = 12/4

m = 3

5 0
3 years ago
Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternat
Ghella [55]

Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7

3 0
3 years ago
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
Group of kids rode horses to canyon. 20 eyes 30 legs between them. How many horses
Solnce55 [7]
If all were kids, there would be 20 legs. A horse has 2 more legs than a kid. The extra 10 legs can be attributed to there being 5 horses.
8 0
3 years ago
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