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sergiy2304 [10]
3 years ago
11

Which expression is equivalent to (5x^2+3z+2)^2

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

The answer is, 25z^4+30z^3+29z^2+12z+4

Or z(z(z(25z+30)+29)+12)+4

You might be interested in
In a box of counters half are white, 1/10 are blue and 1/5 green. The remaining eight are red. What is the total number of count
Rainbow [258]

Answer:

D

Step-by-step explanation:

50% are white, 10% blue, 20% green

that makes 80%

8=20%

8/0.2=40

8 0
3 years ago
The sum of the digits of a 2-digit number is 11. If the digits are reversed, the number formed is 45 more than the original numb
jeka57 [31]
<h2>the original number is 38</h2>

Step-by-step explanation:

Let the two-digit number be 10t+u where t is the tens digit and u the units digit.

-------------------

EQUATION:

t+u = 11

10u+t = 10t+u + 45

-------------

Rearrange the equations:

t+u = 11

9t-9u = -45

-------------

Simplify:

 

t+u = 11

t-u = -5

---------

Add the equations to solve for "t":

2t = 6

t = 3

--------

Substitute to solve for "u":

3+u = 11

u = 8

6 0
4 years ago
Determine if the following triangles are similar. If they are similar, choose their justification. If they are not similar, choo
Dennis_Churaev [7]

Answer:AA~

Step-by-step explanation:

6 0
3 years ago
Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




<span>


</span>
5 0
4 years ago
Read 2 more answers
Determine which equation is belongs to the graph of the limacon curve below.
Hunter-Best [27]

Option a. The equation that is used to show the graph of the limacon is given as r = 1 + 3 sin theta.

<h3>How to solve for the equation</h3>

We have these ppoints [-5,5] by [-5,5]

The limacoin is used to represent a shape that may appear like that of a snail.

This is written in the form of

r = a ± b sin θ

and

r = a ± b cos θ

Given that we have the ± sign, the curve that is at the top of the horizontal; line is the + sign and the one below is the -

If a/b < 1 then a circle is within the circle that was formed as a graph.

Hence from the description that we have given here, the graph has the forms of

r =  a + b sin θ

This is the equation that can be used to suit the form r = 1 + 3 sin theta

Hence option a is right.

Read more on the limacon here

brainly.com/question/14322218

#SPJ1

5 0
2 years ago
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