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1 year ago

I need help with this

Mathematics

1 answer:

Tresset [83]1 year ago

3 0

Answer:

5. A. <

6. B. 16

7. A. -1.5

Step-by-step explanation:

5. -|-4.5| and |7| would turn positive since its in this | | so that'd make them -4.5 (the outside negative is outside the box so it would stay a negative) and 7. Negatives are less than positives making the answer -4.5 < 7.

6. Even though it's adding, since again it is a negative, it's still can be done by subtracting making the answer of -19 + 35 = 16

7. -5.9 + 4.4 can be done by adding and this time the numbers gonna be negative. -5.9 + 4.4 = -1.5

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$\begin{array}{r}{a-3 d+a-d+a+d+a+3 d=32} \\{4 a=32} \\{a=8}\end{array}$

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It is also given that the ratio of the product of first and last term to the product of the two middle terms is 7:15. Thud, we have,

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Simplifying the terms, we have,

$\begin{aligned} \frac{a^{2}-9 d^{2}}{a^{2}-d^{2}} &=\frac{7}{15} \\ 15\left(a^{2}-9 d^{2}\right) &=7\left(a^{2}-d^{2}\right) \\ 15 a^{2}-135 d^{2} &=7 a^{2}-7 d^{2} \\ 8 a^{2} &=128 d^{2} \end{aligned}$

Now, substituting a = 8, we have,

$\begin{aligned} 8(64) &=128 d^{2} \\ 512 &=128 d^{2} \\ 4 &=d^{2} \\ 2 &=d \end{aligned}$

Thus, the value of d is 2.

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Thus, the four consecutive terms are 2,6,10,14.

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