Answer is: 2x=12, 14, 16, and 18
Answer: the equation is
4x^2 + 4x - 12
Step-by-step explanation:
A quadratic equation is an equation in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where
a is the leading coefficient
c is a constant
Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.
Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)
the equation becomes
(x+2)(x-1)
= x^2 - x +2x - 3
= x^2 + x - 3
Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes
4(x^2 + x - 3)
= 4x^2 + 4x - 12
Answer:
Step-by-step explanation:
6^4/6^1
6^(4-1)
=6^3
Answer:
x=15 cm
Step-by-step explanation:
The two triangles in the diagram are:
ABC and BDC
First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.
Hypotenuse is the largest side of a triangle which is usually in front of the right angle.
So in BDC
Applying Pythagoras theorem:
Solving for triangle ABC
Applying Pythagoras theorem
Hence,
x=15 cm
Answer:
Answer: 042
Step-by-step explanation:
The fourth clue eliminates 7, 3 and 8 as possibilities, the fifth clue means that 0 is the correct number but in the wrong position. The third clue indicates that the right digits, including the 0, are in the wrong place. That means the 0 must be the first number of the code.
Based on the first and second clues, the 6 must be eliminated as a possibility because it’s in the same place in both clues, but one clue says it’s in the right place and the other clue says it’s in the wrong place. So by looking at the first clue, we can determine that 6 and 8 are both eliminated (the 8 due to the fourth clue), meaning that the 2 is right and in its place.
The final number can be solved using the second clue. Because the digit remaining to be solved is the second digit, the answer must be 4 and not 1. The digit is right but in the wrong place, so it can’t be 1, which is already in the middle, so it must be 4, meaning the full answer is 042.
