Answer:
A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c2 = a2 + b2, where c is the length of the hypotenuse and a and b the lengths of the other two sides.
Step-by-step explanation:
Answer:
option 3
Step-by-step explanation:
Larger the value of '' a '' makes the parabola narrow.
A positive value of '' a '' which is close to 0 makes the parabola wide.
<em><u>To find the widest graph , find the smallest </u></em><em><u>a</u></em><em><u>. (or </u></em><em><u>a</u></em><em><u> closest to zero)</u></em>
option 1

option 2

option 3

option 4

Positive and negative value of ' a ' decides the direction the parabola opens.
But we have to find the widest parabola irrespective of the direction.
So we will find the smallest ' a '


The correct answer is that g(-1) = 1.
To do this problem, we have to plug in -1 for x and evaluate the expression.
g(-1) = x^3 + 6x^2 + 12x + 8
(-1)^3 + 6(-1)^2 + 12(-1) + 8
-1 + 6 -12 + 8
1
Answer:
No Solutions
Step-by-step explanation:
Multiply the first equation by 5,and multiply the second equation by 2 to get a least common multiple for the x's.
5(4x+6y=3)
2(−10x−15y=−4)
It becomes:
20x+30y=15
−20x−30y=−8
Add these equations to eliminate y:
0=7
Answer:
No solutions.
Answer:
The x-intercepts are
and
.
Step-by-step explanation:
We are given the equation

Begin by dividing both sides of the equation by 2:

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

Split the equation into two based on the two solutions:


Solve each equation by subtracting 1 from both sides:

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).