The answer will be letter A
Answer:
Step-by-step explanation:
SOH CAH TOA
Therefore:
Hi! To solve this question you need to use the midpoint equation, which is (x2+x1 / 2) , (y2+y1 /2). You can plug in values for this equation, making it (-12 + -3 /2), (8+7 /2). This will equate to (-15/2), (15/2). The final midpoint to this equation will be:
(-7.5),(7.5)
Answer:
Your input: factor x2+4x+3.
To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.
Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).
Solve the quadratic equation x2+4x+3=0.
The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).
Therefore, x2+4x+3=1(x+1)(x+3).
(x2+4x+3)=1(x+1)(x+3)
Step-by-step explanation:
Answer:
8 and 9
Step-by-step explanation:
From the question we are given;
- The product of two positive consecutive number is 72
We are required to determine the integers;
- We need to know that the difference between two consecutive integers is 1
Assuming that the smaller integer is x
Then the other integer is x+1
Therefore;
x(x+1) = 72
x² + x = 72
Rearranging in quadratic manner;
x² + x - 72 =0
Solving quadratically, using factor method;
Product = -72x
Sum = x
Numbers = 9x and -8x
Thus;
x² + 9x -8x - 72 =0
x(x+9) - 8(x+9) = 0
Then;
(x-8)(x+9) =0
Hence, x-8 = 0 or x+9 =0
Therefore, x = 8 or x = -9
We take, x = 8 (positive integer)
Hence, the required integers are 8 and 9