Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a
2
−
b2
=
(
a
+
b
)
(a
−
b
) where a=
1 and b
=
10
x
.
(
1
+
10
x
(
1
−
10
x
)
Step-by-step explanation:
TW is a radius of this circle.
|TW| = |WQ|
SV = VQ therefore m∠WVQ = m∠WVS = 90°. The triangle QVW is the rectangular triangle.
We calculate the length of WQ using the Pythagorean theorem.
Answer: TW = √58 ≈ 7.62
Answer: 5
Step-by-step explanation:
Range = highest value - lowest value
The highest value from the data set given = 1
The lowest value = -4
Therefore :
Range = 1 - (-4)
Range = 1 + 4
Range = 5
Answer: Hello there!
here we have two equations:
1) x + 3y = 7
2) 2x + 4y = 8
a) first we want to isolate x in the first equation:
x + 3y = 7
x = 7 -3y
done!
b) now we want to replace it in the second equation, and in this way get a equation that depends only on the variable y.
2x + 4y = 8
2(7 - 3y) + 4y = 8
c) now we sole this equation and obtain the value of y.
14 - 6y + 4y = 8
14 - 2y = 8
-2y = 8 - 14 = -6
y = 6/2 = 3
d) now we have the value of y, and we can substitute it on the equation that we got in the part a)
x = 7 - 3y
x = 7 - 3*3 = 7 - 9 = -2
e) now we knowt that x = -2 and y = 3, then the pair (x,y) can be written as:
(-2,3).