Answer:
step 2
Step-by-step explanation:
we have
---> given problem
step 1
Move the constant to the right side

the step 1 is correct
step 2
Complete the square


<u><em>The step 2 is not correct</em></u>
step 3
Rewrite as perfect squares

step 4
take square root both sides

step 5
Find the values of x



Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get 
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form
1/2 because you can simplify 4/8 and do 4 divided by 4 and 8 divided by 4 which is 1/2