All categories

2 years ago

What are the solutions to the equation (x + 2)^2 = 49?

Mathematics

2 answers:

Mekhanik [1.2K]2 years ago

8 0

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,

 (X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0

Find two numbers whose sum is equal to b and whose product is equal to c. Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

rewona [7]2 years ago

3 0

Answer:

b part

Step-by-step explanation:

x = -9 ,5 or you can say 5 ,-9

You might be interested in

A group of 25 employees want to go out for a group dinner. 18 employees want to go to Restaurant A. 7 employees want to go to Re

Pie

Answer:

28 percent

Step-by-step explanation:

i dont know the rest

8 0

2 years ago

there are two boxes. in the first box there are 7 cards numbered from 1 tp 7 the second box also contains 7 cards from 1-7 pick

mrs_skeptik [129]

Answer:

$\frac{6}{49}$

Step-by-step explanation:

GIVEN: There are two boxes. in the first box there are $7$ cards numbered from $1$ to $7$ the second box also contains $7$ cards from $1-7$ pick one card from each box.

TO FIND: probability that the sum of the two two cards is at least $12$ .

SOLUTION:

sample case such that sum of cards is $12$ : $(5,7),(7,5),(6,6)$

sample case such that sum of cards is $13$ : $(7,6),(6,7)$

sample case such that sum of cards is $14$ : $(7,7)$

Total sample case such that sum is atleast $12$ $=6$

Total sample cases $=49$

probability that the sum of the two two cards is at least $12$ $=\frac{\text{sample case in which sum is atleast 12}}{\text{total sample cases}}$

$=\frac{6}{49}$

probability that the sum of the two two cards is at least $12$ is $\frac{6}{49}$

8 0

2 years ago

A dot plot is a graph that displays data by using dots plotted above a number line.

Vikentia [17]

True, because dot plots usually look like this

0 0

0 0 0 0 0

__________________________________

1 2 3 4 5

As you can see, the dots are above the line.

8 0

2 years ago

A hardware store pays $3500 for 42 lawnmowers.Then the store sells the lawnmowers for $99 each.How much profit does the store ma

lions [1.4K]

Answer: the profit is $4750

Step-by-step explanation:

A hardware store pays $3500 for 42 lawnmowers. This means that the amount that the hardware store paid for one lawnmower would be

3500/42 = $500/6

Then the store sells the lawnmowers for $99 each. This means that the total revenue that the store got from selling 42 lawnmowers would be

500/6 × 99 = $8250

Profit = Revenue - cost

Therefore, profit that the store makes from the lawnmower sales is

8250 - 3500 = $4750

8 0

3 years ago

Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement

Lelechka [254]

Answer:

$Side_2 = 74\ in$

Step-by-step explanation:

Given

$Side_1= 82\ in$

$Area = 6068\ in^2$

Required

Determine the length of the other side

For a rectangle:

$Area = Side_1 * Side_2$

This gives:

$6068\ in^2 = 82\ in * Side_2$

Divide both sides by 82in

$\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2$

$\frac{6068\ in^2}{82\ in} = Side_2$

$Side_2 = \frac{6068\ in^2}{82\ in}$

$Side_2 = 74\ in$

<em>Hence, the length of the other side is 74 inches</em>

7 0

2 years ago