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3 years ago

Trapezoid ABCD is translated 5 units left and 4 units down to create trapezoid

Mathematics

1 answer:

serg [7]3 years ago

3 0

Answer:

The transformation is 5 units left and 4 units down

It is described as the rule:

(x,y) → (x -5, y - 4)

T(-5,-4)

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The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking

valina [46]

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

8 0

4 years ago

A 50 Blo 5,000 is times greater than 500. C 1,000 D 100

Phoenix [80]

Answer:

c is the answer there is a thousand digference between them

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3 years ago

The total cost, including shipping, for ordering five uniforms is $66. The total cost,

Artist 52 [7]

Answer: Positive with a magnitude of 12 and the total cost is taken on its y axis and number of uniforms are ordered are taken on the x axis

Step-by-step explanation:

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3 years ago

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A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play

balu736 [363]

There are 1,16,280 different recital programs possible.

Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.

It means the repetition of pieces is not allowed.

When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-

$^{n} P_{r} =\frac{n!}{(n-r)!}$

Now, the number of different recital programs are:-

$^{20} P_{4} =\frac{20!}{(20-4)!}=\frac{20*19*18*17*16!}{16!}=116280$

Hence, there are 1,16,280 different recital programs possible.

Learn more about probability here brainly.com/question/251701

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3 years ago

GEOMETRY HELP PLS ALMOST DONE THANK U

lana [24]

Answer:

y = 4

Step-by-step explanation:

Since this is an equilateral triangle, all the sides are equal.

7y + 5 = 9y - 3

5 + 3 = 9y - 7y

2y = 8

y = 8 ÷ 2

y = 4

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3 years ago