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Veseljchak [2.6K]
2 years ago
6

What is the first term of an AP whose common difference is 2 and 31st term begin -88

Mathematics
2 answers:
castortr0y [4]2 years ago
4 0

Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

a_{n = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

lisabon 2012 [21]2 years ago
3 0

 

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

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Chalk is an ionic compound. Which is a property of all ionic compounds that makes chalk particularly useful for writing on a cha
Delicious77 [7]

The correct answer is B. Hardness and brittleness

Explanation:

The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.

These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.

6 0
2 years ago
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4) Suppose y varies inversely with the SQUARE ROOT of x.
Savatey [412]

Answer:

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Step-by-step explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If  x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x

7 0
3 years ago
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

5 0
2 years ago
I need help ASAP help me answer questions and then I put a picture up
olya-2409 [2.1K]

Answer:

(-4,9)

Step-by-step explanation:

To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)

5 0
2 years ago
Solve pls for brainliest
Luden [163]

Answer:

19. 6561

20. 196

22. \frac{256}{25}

23. \frac{1}{16}

24. \frac{2}{9}

5 0
3 years ago
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