Good evening ,
Answer:
<h2>x = 3 or x = -21</h2>
Step-by-step explanation:
x²+18x=63 ⇌ x²+18x+81 = 63 + 81
⇌ (x+9)² = 144 ⇌ (x+9)² = 12² ⇌ (x+9-12)(x+9+12) = 0
⇌ (x-3)(x+21) = 0
⇌ x=3 or x=-21.
:)
Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
If the radius of the circle is 6 feet. Then the area of the circle will be 113.097 square feet.
<h3>What is a circle?</h3>
It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The radius of the circle is 6 feet.
Then the area of the circle will be
Area = πr²
where r is the radius of the circle. Then we have
Area = π × 6²
Area = 36π
Area = 113.097 square feet
More about the circle link is given below.
brainly.com/question/11833983
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Answer:
a type of plot or mathematical diagram using coordinates to display values for typically two variables for a set of data
Step-by-step explanation:
In a scatter plot has is a line of best fit which shows the closest values to the many on the plot.