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marin [14]
3 years ago
15

What are the factors of 9t^2+12t+4

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer: (3t-2)^2

Step-by-step explanation:

Well, multiply 9 and 4 together to get 36.

Now what factors of 36 add to 12? Well, 6 and 6, so let's rewrite this:

9t^2-6t-6t+4

Now group factor what you can:

3t(3t-2)-2(3t-2)

Now 3t and -2 both share the common factor of (3t-2) so you can rewrite it as:

(3t-2)(3t-2) which is:

(3t-2)^2.

Hope that makes sense or helps!

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Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13
nata0808 [166]

Answer:

(-2,-3) and (3,2)

Step-by-step explanation:

sub in x-1 into y

x^2 + (x-1)^2 = 13

x^2 + (x-1)(x-1)=13

x^2 + x^2 -2x +1 = 13

2x^2 -2x-12=0

solve for x by factoring (quadratic formula, product sum etc..)

x= -2 and 3

plug in those values into y=x-1 and solve for y

3 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation y = x - 2?
Liula [17]

Answer:

One order pair is  

( 2,0)

Step-by-step explanation:

What ordered pairs are the options?

Pick a value for  

x

and solve for  

y

. Or find the intercepts.

If  

x

=

2

, then:

y

=

2

−

2

⇒

y

=

0

So we have  

(

2

,

0

)

If  

x

=

0

, then:

y

=

0

−

2

⇒

y

=

−

2

Here we have  

(

0

,

−

2

)

You can simply use  

0

for both  

x

and  

y

(intercept) to get the same answer.

8 0
3 years ago
Does anyone know this? URGENT!!​
goblinko [34]

Answer: Y=3, X=-2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his chec
Verdich [7]

Answer:

A) A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) The difference between the two is that,

For the check, money is taken or removed from the account to pay for a bill while

For the deposit, money is added to the account.

Step-by-step explanation:

Ishmael made a mistake in his checkbook. He wrote a check for $89.80 for his Verizon bill but mistakenly recorded it in his checkbook as an $89.80 deposit.

A) Represent each transaction with a rational number

A check for $89.80 for Verizon bill = -89.8

A deposit of $89.80 = +89.8

B) Explain the difference between the transactions.

For the first transaction which is a check for his Verizon bill, using a check on your account means Ishmael wants to withdraw money from his account to pay for the bill. The money in his account will be $89.8 lesser than the initial amount there.

For the second transaction which recording in his checkbook a deposit of $89.80 means $89.80 was added to an account.

8 0
3 years ago
In a box of chocolates, 1/5 of the chocolates contain nuts.
Rama09 [41]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

6 0
3 years ago
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