Answer:
33.64
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
Answer:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
Answer:
56.8 m²
Step-by-step explanation:
This shape is clearly a trapezium / trapezoid. So :
Area of a trapezium is given by the formula :
Substitute values given in diagram :
a = 4.2
b = 10
h = 8
7.1 × 8 = 56.8
Units will be m² as this is area
Giving us our final answer of 56.8 m²
3 (x + 1) = 5 + x
First you must distribute the 3 to the values inside the parentheses:
3 (x + 1) = 5 + x
(3 * x) + (3 * 1) = 5 + x
3x + 3 = 5 + x
Now you must combine like terms. Like terms are numbers that have matching variables like 3x and x OR are numbers with out variables like 3 and 5.
3x - x = 5 - 3
2x = 2
Next, to completely isolate x, divide 2 to both sides. Since 2 is being multiplied by x, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
2x / 2 = 2 / 2
1x = 1
Check:
3 (1 + 1) = 5 + 1
3 (2) = 5 + 1
6 = 6
^^^This is true, therefore:
x = 1
Hope this helped!
~Just a girl in love with Shawn Mendes
