The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.
The graph is attached below.
- We are given a quadratic function.
- A polynomial equation of degree two in one variable is a quadratic equation.
- The function given to us is :
- y = x² - 5x - 36
- We need to find the solution of the quadratic function.
- To find the roots, let y = 0.
- x² - 5x - 36 = 0
- Use the quadratic formula.
- In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
- x = [-b±√b²-4ac]/2a
- x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
- x = (5 ± √25 + 144)/2
- x = (5 ± √169)/2
- x = (5 ± 13)/2
- x = 9 or x = -4
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Depends is the positive integer is larger than the negative interger for example -10+5=-5.
10+-4=6
To draw line HI perpendicular to JK we need to follow the given steps:
Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.
From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.
Use your ruler to join the given point (H) to the point where the arcs intersect (I).
HI is perpendicular to JK.
What is perpendicular?
Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.
Properties of Perpendicular Lines
- These lines always intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
- Adjacent sides of a square and a rectangle are always perpendicular to each other.
- The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
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Answer:
x=-6
y=4
Step-by-step explanation:
x=-y-2 x=-y-2 x=-y-2 x=-y-2 x=-y-2 x=-4-2 x=-6
0.5x+y = 1 0.5(-y-2)+y=1 -0.5y-1+y=1 -y-2+2y=2 y=4 y=4 y=4
1/6 < 1/4 so 1/6 would equal 2/12 and 1/4 would equal 3/12 so which means if you take one from each it would be 5/12 but if you took 2 from the first one it would only be 2/12 which is why you need to read correctly because THE REASON MARK IS CORRECT IS BECAUSE 5/12 IS GREATER THAN 2/12