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3 years ago

Find an explicit rule for the nth term of the sequence. 2, -8, 32, -128, ...

1 answer:

8 0

A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1)

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If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°,<br> find the measure of < S.

Free_Kalibri [48]

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180 { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

7 0

2 years ago

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.

mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

Perimeter = 30 cm

Length = x cm

Using the perimeter formula to find the width w.

$P=2(l+w)$

$P = 2l + 2w$

$2w = P-2l$

Dividing both sides by 2

$w\:=\:\frac{P}{2}-2$

as P = 30 cm

$w\:=\:\frac{30}{2}-2$

$w\:=\:15-2$

$w = 13$ cm

Using the formula of the rectangle area

$A = wl$

substitute w = 13 and l = x in the formula

$A=13\times \:x$

$A = 13x$

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0

2 years ago

Each child in the Martin family decided to save money for the family vacation.

irinina [24]

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

$20 \times 8$

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

5 0

2 years ago

How does three digit division works

ludmilkaskok [199]

Just divide as you normally would but 1 or 2 numbers at a time

8 0

3 years ago

Read 2 more answers

What value of x makes the equation 3(x-6)-8x= -2+5(2x+1) true

QveST [7]

Answer:

x= −7/5

Step-by-step explanation:

Step 1: Distribute and combine like terms

3(x−6)−8x=−2+5(2x+1)

(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)

3x+−18+−8x=−2+10x+5

(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)

−5x+−18=10x+3

−5x−18=10x+3

Step 2: Subtract 10x from both sides.

−5x−18−10x=10x+3−10x

−15x−18=3

Step 3: Add 18 to both sides.

−15x−18+18=3+18

−15x=21

Step 4: Divide both sides by -15.

Hope this helps! :)

4 0

2 years ago