Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
7 = 49 ÷ r
Step-by-step explanation:
To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...
Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:
7 = 49 ÷ r
To prove this, input r = 7 into each of the equations:
6 = 30 ÷ r
⇒ 6 = 30 ÷ 7
⇒ 6 ≠ 4.285... ← incorrect!
7 = 54 ÷ r
⇒ 7 = 54 ÷ 7
⇒ 7 ≠ 7.714... ← incorrect!
7 = 49 ÷ r
⇒ 7 = 49 ÷ 7
⇒ 7 = 7 ← correct!
9 = 72 ÷ r
⇒ 9 = 72 ÷ 7
⇒ 9 ≠ 10.285... ← incorrect!
→4(2) which can be referred to as 4 + 4
→14 (4)<span>= 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 </span> which also equal to → 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 +4 + 4 +4 +4 + 4 +4 +4
Answer:
X = -2 and 4
Step-by-step explanation:
Move all of the terms to one side and set the equation to 0:
2x^2-14x+40-3x^2+16x-32 = 0
Then combine all like terms which would look like the following:
-x^2 + 2x + 8=0
Change the signs on both sides of the equation:
x^2 - 2x - 8 =0
Write -2x as a difference:
x^2 + 2x - 4x -8 = 0
Factor the expression:
x(x+2) x 4(x+2)=0
Factor out x+2 from the equation:
(x+2) (x-4)=0
Split into classes and then find the answer from there:
x+2=0
x-4=0
