I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Answer:
(a) (-∞, -8) (-6, -4) (-2, ∞)
(b) -6, -2
(c) negative
(d) 5
Step-by-step explanation:
(a) A function is "decreasing" when the y-value decreases as the x-value increases.
⇒ the function is decreasing over these intervals : (-∞, -8) (-6, -4) (-2, ∞)
(b) Local maxima are the points on the function where it reaches a maximum.
⇒ maxima at x = -6 and x = -2
(c) negative
(d) 5
Answer:
<em>The distance from the point to the line is approximately 3.2 units</em>
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is
The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:
The distance from the point to the line is approximately 3.2 units
When the denominator = 0 and the numerator does not, you get a vertical asymptote. That said a = - 1
If the exponents on the highest variable are the same in the horizontal asymptote is the division of coefficient on the top with the bottom. In plain English what that means is that if you make m = 1 then the coefficients are 2 and 1 (2 in the numerator and 1 in the denominator). If m is any other value greater than 1 there is not a horizontal asymptote.
C <<<====answer.
Third one down.
Answer:
<FGH and <JKL are supplementary
<AED and <BEC are complementary
Step-by-step explanation:
For supplementary angles, the sum of the pair of angles must be 180degrees
Given;
<FGH = 109degrees
<JKL = 71degrees
Taking the sum
<FGH + <JKL
= 109 + 71
= 180
Since the sum of the angles is 180, hence <FGH and <JKL are supplementary
Similarly;
Given
<AED = 45degrees
<BEC = 45degrees
Taking the sum
<AED + <BEC
= 45 + 45
=90degrees
Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary
