Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
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* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Answer:
Step-by-step explanation:
(47+1)/(3-6) = 48/-3 = -16
y + 1 = -16(x - 6)
y + 1 = -16x + 96
y = -16x + 95
Answer:
40 ft²
Step-by-step explanation:
Let the length of the original rectangle be L and original Breadth be B
it is given that the original area is 5/8 ft²
i.e.
Original Length x Original Breadth = Original Area, or,
LB = 5/8 ft² ------------------(1)
Given that the dilation factor is 8,
Hence,
New Length = 8L and New Breadth = 8B
THerefore,
New Area = 8L x 8B
= 64 LB (from (1) above , we know that LB = 5/8 ft², substitute into expression)
= 64 (5/8)
= 40 ft²
