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3 years ago

Given a term in an arithmetic sequence and the common difference, find the first five terms

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

Step-by-step explanation:

we come with a1

a(n) = a1 +(n-1)d

a(35) = a1 +(35-1)-10=-312

So a1=-312+340= 28

first five terms:

a1= 28

a(2) = 28 +(2-1)-10=18

a(3) = 28 +(3-1)-10=8

a(4) = 28 +(4-1)-10=-2

a(5) = 28 +(5-1)-10=-12

hope it helps

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What is the value of x in the figure shown below?

Hunter-Best [27]

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

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3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

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$\log(5^{-2x-1})=\log(4^{4x+3})$

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$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

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Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

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4 years ago

Pls help question is in the images

hodyreva [135]

The symbol $\displaystyle{ T_{\ \textless \ -4, 2\ \textgreater \ }(\triangle ABC)$ means that:

we translate ( shift ) the triangle ABC -4 units horizontally and 2 units vertically.

This means that the triangle needs to be shifted 4 units left, and 2 units up.

The only figure which displays such a movement of the triangle (left, up) is the one in the attachment below. That is the answer.

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3 years ago

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Sholpan [36]

Answer:

Infinitely many.

Step-by-step explanation:

3x + 2y = 4

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3 years ago

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scoundrel [369]

The Answer: 7.25/25

Hope this helps!

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3 years ago