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AveGali [126]
2 years ago
11

Work out the value of each expression, when r= 2.5 and t = 6.

Mathematics
2 answers:
Usimov [2.4K]2 years ago
8 0

Answer:

a)  4(t - r) = 4(6 - 2.5) = 4 x 3.5 = 14

b)  4t - r = (4 x 6) - 2.5 = 24 - 2.5 = 21.5

c)  2(3t - 10) = 2(3 x 6 - 10) = 2(18 - 10) = 2 x 8 = 16

d)  (t - 2)² = (6 - 2)² = 4² = 4 x 4 = 16

e) cannot decipher the equation

f)  6r + t = 6 x 2.5 + 6 = 15 + 6 = 21

bonufazy [111]2 years ago
8 0

Answer:

the circumference of wheel is 880cm calculate the diameter

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topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

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(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

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