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qaws [65]
4 years ago
9

2x + 5y + 30 = 0 The point ( 5/2 , y) is a solution to the equation shown. What is the value of y? A) -7 B) -5 C) 0 D) 5

Mathematics
1 answer:
Zigmanuir [339]4 years ago
6 0

Answer:

A) -7

Step-by-step explanation:

2x + 5y + 30 = 0

Let x = 5/2

Substitute into the equation

2(5/2) +5y +30 =0

5+5y+30=0

Combine like terms

35 +5y =0

Subtract 35 from each side

35-35 +5y = -35

5y=-35

Divide by 5

5y/5=-35/5

y = -7

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Answer:

1  9/10

Step-by-step explanation:

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3 years ago
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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
3 years ago
Pythagorean Theorem with Known Legs
7nadin3 [17]

c {}^{2}  = 7 {}^{2}  + 9 {}^{2} \\ c {}^{2}  = 49 + 81 \\ c {}^{2}  = 130 \\ c =  \sqrt{130}

<h2>Answer</h2>

<h2> 130</h2>
3 0
2 years ago
The diagram shows a right-angled triangle.
Marizza181 [45]

Answer:

11.9 Cm.

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Step-by-step explanation:

cos = adj/hyp

cos 24°= hcm/ 13cm

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2 years ago
The recipe says he needs 450 grams of rice for 6 people
Fynjy0 [20]

Answer:

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Step-by-step explanation:

450g : 6 people

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To convert from g to kg divide by 1000

1350 ÷ 1000 = 1.35kg

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