Evaluate the expression when y=6 and x = 35. x-3y
2 answers:
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Answer:
we have:
=> r²h = 10.18 = 9.20 = 5.36 = 6.30 = 4.45 = 12.15
=> only r²h = 5.36 satisfy the problem
=> h = 5
h = 5 r = 6
h = 5 r = 6=> d = 12
Answer:
<h3>A. </h3>- log
= log 3
- x³ log x = log 3
- 3x³ log x = 3 log 3
- x³ log x³ = log 3³
= 3³
- x³ = 3
- x =
- 4ˣ + 6ˣ = 9ˣ
- 2²ˣ + 2ˣ3ˣ = 3²ˣ
<u>Divide both sides by 2²ˣ</u>
- 1 + (3/2)ˣ = (3/2)²ˣ
<u>Substitute (3/2)ˣ = t</u>
- t² - t - 1 = 0
<u>Solve for t:</u>
- t = (1 ± √5)/2
<u>Positive root is considered as (3/2)ˣ can't be negative.</u>
- (3/2)ˣ = (1 + √5)/2
- x = log [(1 + √5)/2] / log (3/2)
- x = 1.18681439028
Answer:
Step-by-step explanation:
From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points and
is given by,
d =
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD =
CD =
=
Length of GH having ends G(0, -4) and H(4, -5) will be,
GH =
=
=
Therefore, m(CD) = m(GH)
Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.