4 years ago

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

Mathematics

2 answers:

Dahasolnce [82]4 years ago

5 0

Answer:

u2 + 5u – 6 = 0 where u = (x + 2)

Darya [45]4 years ago

3 0

Quadratic is in the form
ax^2+bx+c=0

so distribute and stuff and simplify
remember
a(b+c)=ab+ac

(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0

You might be interested in

Find the three numbers in G.P. whose sum is 14 and whose<br>product is 64.

fenix001 [56]

2+4+8=14
2x4x8=64
2x4=8
8x8=64

7 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

nydimaria [60]

Answer:

352 m^2

Step-by-step explanation:

Each of the four congruent triangular faces has an area that is half the product of the base edge length and the slant height:

A = 1/2·bh = 1/2·(8 m)(22 m) = 88 m^2

Then the total lateral area is 4 times this:

LA = 4·88 m^2 = 352 m^2

6 0

3 years ago

What are the values of A and B

Ostrovityanka [42]

Answer:

Step-by-step explanation:

Multiply the denominators so you will have common denominators.

Then 5x + 11 = A(x+3) + B(x+1)

So 5x + 11 = x(A+B) + 3A + B

The only thing that has x in right is (A+B)

So A+B = 5

And 3A + B = 11

So 2A=6

And A=3

B = 5 - 3 = 2

8 0

3 years ago

The price of a car was decreased by 16% to £2400. What was the price before the decrease?

miss Akunina [59]

Answer:

£2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

£2400 = 0.84 · (original price)

£2400/0.84 = original price ≈ £2857.14

3 0

3 years ago

the sum of two numbers is 55. The larger number is 15 more than the smaller number. what are the numbers?

lions [1.4K]

X= smaller #
Y= larger #

X + y = 55

55-15=40

X=40 and y=15

4 0

3 years ago