Answer:
2-10
Step-by-step explanation:
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Answer:
a = 1.5
VW = 9 ft
Step-by-step explanation:
Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:
a + 4 = a² + 0.25 Set equal
a² - a = 3.75 Isolate a values
a² - a + 0.25 = 3.75 + 0.25 Complete the square
(a + 0.5)² = 4 Factor
a + 0.5 = 2 Simplify
a = 1.5
Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:
((1.5) + 7.5) ft
9 ft
Answer:
Hey there!
When we have a^b, b is the power.
Thus, in -5^2, 2 is the power.
Let me know if this helps, or if you need more help :)
Answer:
Yes, the set of numbers create a Pythagorean triple
Step-by-step explanation:
we know that
If a set of numbers create a Pythagorean triple, then the set of numbers must satisfy the Pythagorean Theorem
where
c is the greater side
a and b are the legs (perpendicular sides)
we have
substitute
----> is true
therefore
Yes, the set of numbers create a Pythagorean triple
Answer:
2= 4 1/6
Step-by-step explanation:
draw the diagram and extend BC to D
draw AD
use the Pythagorean Theorem with triangle ADC
call AD "h"
call DC "x"
h2+x2=102
now use the Pythagorean Theorem with triangle ADB
AD=h, AB=16, DB=(x+9)
h^2+(x+9)^2=16^2
from the first equation get h^2=10^2-x^2
from the second equation get h^2=16^2-(x+9)^2
set the two right sides equal to each other because they both equal h2
10^2-x^2=16^2-(x+9)^2
100-x^2=256-x^2-18x-81
cancel -x2 from both sides
100=256-18x-81
100=175-18x
100-175=-18x
-75=-18x
18x=75
x=75/18
x=4.1666... inches or 4 1/6 inches for the length of DC
