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Elena L [17]
3 years ago
8

What is the area of DEF shown in the figure?

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0
I think you forgot to post the figure because i do not see any sort of figure.
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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
Tamiku [17]
Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

3 0
3 years ago
George earned a total of $342 in simple interest from two separate accounts. In an account earning 5% interest, George invested
Maslowich

Answer: he invested $6000 in the account earning 5% interest and $2100 in the other account earning 2% interest

Step-by-step explanation:

Let x represent the amount invested in the account earning 5% interest.

Let y represent the amount invested in the account earning 2% interest.

In an account earning 5% interest, George invested $1800 more than twice the amount he invested in an account earning 2%. It means that

x = 2y + 1800

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Assuming the duration for both investments is 1 year,

The interest on the first account would be

I = (x × 5 × 1)/100 = 0.05x

The interest on the second account would be

I = (y × 2 × 1)/100 = 0.02y

George earned a total of $342 in simple interest from two separate accounts. This means that

0.05x + 0.02y = 342 - - - - - - - - - - 1

Substituting x = 2y + 1800 into equation 1, it becomes

0.05(2y + 1800) + 0.02y = 342

0.1y + 90 + 0.02y = 342

0.1y + 0.02y = 342 - 90

0.12y = 252

y = 252/0.12 = 2100

x = 2y + 1800 = 2 × 2100 + 1800 = $6000

4 0
2 years ago
Hello :D<br><br> so I just wanted to make sure that I was correct :D
never [62]
The top is 13 so bottom has to be 13 also
6 0
3 years ago
Find the midpoint between A and B, given that A=(-1,5) and B=(-3,-7)
Kamila [148]
Hello here is a solution :
<span> midpoint between A and B,is :C( (Xa+xb)/2; (ya+yb)/2)
C( (-1-3)/2;(5-7)/2)
C(-2 ; -1)</span>
6 0
3 years ago
What is the answer to 11
zlopas [31]

Answer:

14

Step-by-step explanation:

4x4 -2

6 0
3 years ago
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