Which trinomials are perfect square trinomials?Choose exactly two answers that are correct.

a2 + 4a + 16

a2 + 14a + 49

a2 + 15a + 75

a2 + 26a + 169

Answers

Answer 1

Answer:

The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.

What are trinomials?

The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.

For all the options, the coefficient of a² = 1.

a² + 4a + 16.

Coefficient of a = 4.

4/2 = 2

2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.

14/2 = 7

7² = 49, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +7)²

Similarly, if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.

26/2 = 13

13² = 169, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +13)²

The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.

To know more about trinomials follow

brainly.com/question/27020215

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Answer 2

Answer: You can know a perfect square trinomial:

i) if the coefficient of a² = 1.

ii) If you divide the middle number coefficient by 2 and you square it you get the last term.

Take for example the first option:

For all the options, the coefficient of a² = 1

a² + 4a + 16.

Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²

Similarly if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²

So the only two options are: a² + 14a + 49 and a² + 26a + 169.

Other options do not pass this test.

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I have no idea how to use this site yet, so I'm just gonna put my algebra problem here. Thanks for any help!Graph system of equation:
x-2y=2
3+y=6

Answers

I have a hard times putting graphs so I'll just put the answers and say how to graph with paper
so we notice that if we solve the second equation (3+y=6), we get a value for y and no value for x so just draw a horizonal line at the point 3 on the y axis

then make the second equation into slope inercept form y=mx+b
x-2y=2
2y-x=-2
2y=x+2
y=1/2x+1
just put in values for x and get y values, then plot points and get line
find where the line inercepts/crosses the first line (3+y=6) and that is the solution

OR

so a the solution is when both equations are true so just assume both are true and solve for x and y

x-2y=2
3+y=6

first of all the second equation is easy
3+y=6
subtract 3 from both sides
y=3

so we subsitute 3 for y in first equation
x-2(3)=2
x-6=2
add 6 to both sides
x=8
y=3
the solution is the point (8,3)

An algebraic equation is an equation that includes:a.
no variables
c.
one or more variables
b.
only one variable
d.
just numbers

Answers

An algebraic equation includes one or more variables.

One or more variable

5^x × 25^2= 5^12
solve carefully.

Answers

Answer:

Step-by-step explanation:

It is shown in figure

thank you

$5^x .25^2=5^(12)\n5^x=5^(12):25^2\n5^x=5^(12):(5^2)^2\n5^x=5^(12): 5^(4)\n5^x=5^(12-4)\n5^x=5^8\n=>x=8$

ANSWER: x = 8

ok done. Thank to me :>

A car is traveling at a rate of 90 kilometers per hour. what is the car rate in kilometers per minute. how many kilometers can the car travel per 20 minutes?