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2 years ago

I need help asap!! I really appreciate it!!

Mathematics

1 answer:

Serhud [2]2 years ago

7 0

Answer:

His debt is less than $30

Step-by-step explanation:

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Someone pls help me!!

steposvetlana [31]

Answer:

$r = \frac{12\sin 20\degree}{ \sin 35\degree }$

Step-by-step explanation:

By sine rule

$\frac{r}{ \sin \angle R } = \frac{p}{ \sin \angle P} \\ \\ \frac{r}{ \sin 20\degree } = \frac{12}{ \sin 35\degree } \\ \\ r = \frac{12\sin 20\degree}{ \sin 35\degree }$

5 0

2 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

2 years ago

Help me please this will help my grade !

Leni [432]

Answer:

Point D

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

How do you solve this equation?<br>step by step...<br>-9(x-9)=252

katovenus [111]

Well think about it this way -9 times what equals 252 you already know x is going to be a negative number because the outcome is positive so try doing the problem backwards 252/-9=-28 so x=-28

5 0

2 years ago

1. Find the Product of 8.02 and 6.1 and correct your answer to the highest whole number. 2. How many pieces of ribbon each 6cm l

Alja [10]

Answer:

1. 14

2.400 pieces

Step-by-step explanation:

1. 8.02+6.1= 14.12, since its less than 14.5 you must round down to 14

2. remember 1 meter is 100 centimeters, thus to find how many centimeters are in 24 m multiply 100 by 24. this will get 2400 centimeters

divide 2400/6 and you will get 400

5 0

2 years ago

Read 2 more answers