For a quadratic equation ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac
Thus for a^2 - 2a + 5 = 0,
a = 1, b = -2 and c = 5
b^2 - 4ac = (-2)^2 - 4(1)(5) = 4 - 20 = -16
108 you don't need the distributive property.
To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b
The dimension of the 4 rectangles are:
a. length: 4x and width: 4
b. length: 11 and width: x
c. length: 2 and width: 8x
d. length: 16x and width: 1
The area of a rectangle is:
<u>Rectangle (a)</u>
<u>Rectangle (b)</u>
<u>Rectangle (c)</u>
<u>Rectangle (d)</u>
Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.
Hence, the rectangle with a different area is rectangle (b).
Read more about areas of rectangles at:
brainly.com/question/14383947
The continent which has 59% of the total population will have more than 5.31 billion people by 2050.
<u>Step-by-step explanation:</u>
It is given that,
- The total number of people is 9 billion.
- The estimated number of people in 2050 year is 5.31 billion.
Therefore, you need to find out which continent has the estimated number by finding the percentage value.
<u>To find what percent 5.31 is of billion is of 9 billion :</u>
Let x be the percentage to be calculated.
⇒ x percent of 9 billion is 5.31 billion.
⇒ (x/100) × 9 = 5.31
⇒ x = (5.31 × 100) / 9
⇒ x = 531 / 9
⇒ x = 59 %
∴ The continent which has 59% of the total population will have more than 5.31 billion people by 2050.
Answer:y=6.61,x=-6.46
Step-by-step explanation:
3x+7y=-26(×5)
-
5x+3y=-14(×3)
=15x+35y=-130
-
15x+9y=-42
subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)
=26y=172
y=172÷26
y=6.61
substitute y in the first equation=3x+6.61=-26
3x=-26+6.61=-19.39
x=-19.39÷3
x=-6.46
