Answer:
the answer for X is -6
Step-by-step explanation:
g(X)=5/2x -1 and g(X)= - 1
sub -16 on g(X)
-16=5/2x -1
-16+1 = 5/2x
-15 = 5/2x
divide both sides by 5/2
X= -6
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
Answer:
R = 7.71 ohms
Step-by-step explanation:
By ohm's law: R= V/I
where, R = resistance of wire, V = potential difference, I = electric current
Given: V = 54 and I = 7 A
Plug in the above values in the ohm's law, we get
R = 54 V/7 A
R = 7.71 ohms
Hope this will helpful.
Thank you.
Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:
The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.
Therefore the correct option is B: False
If the corresponding sides are congruent, the triangles are congruent.
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➷ 90 is an integer, and the closest others are 89 and 91
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