Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
Answer:
the first one
Step-by-step explanation:
Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.
Answer:
a) (+) × (?) = (+)
(?) = (+)
b) (-) × (+) = ?
? = (-)
c) (?) × (-) = ?
? is undefined
Step-by-step explanation:
a) (+) × (?) = (+)
From the given equation in the question, by dividing both side of the equation by (+), we have;
((+) × (?))/(+) = (+)/(+)
(?) = (+)/(+) = (+)
Therefore, we have;
(+) × (+) = (+)
(?) = (+)
b) (-) × (+) = ?
From the given equation in the question we apply the operation rules as follows;
(-) × (-) = (+)
(-) × (+) = (-)
Therefore;
(-) × (+) = ? = (-)
? = (-)
c) (?) × (-) = ?
From the rules of multiplication, we have;
(-) × (-) = (+)
(+) × (-) = (-)
Therefore, when (?) = (-), ? = +, from which we have;
(?) ≠ ?, which is an error
Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign
Therefore, the equation, (?) × (-) = ?, is undefined.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60
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