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2 years ago

8

What are the coordinates of the midpoint of the segment whose endpoints are E(2, 9) and F(8, –3)?

1 answer:

ANEK [815]2 years ago

3 0

Use midpoint formula:
8+2/2 ,-3+9/2
= 5,3.
The second option

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a slug travels 3 centimeters 3 seconds a snail travels 6 centimeters in 6 seconds both travel at constant speed which traveled f

Tju [1.3M]

Both traveled the same speed: 3cm/3s= 1m/s and 6cm/6s= 1m/s

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2 years ago

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PLEASE HELP THANKS SO MUCH!

Zolol [24]

Surface area = sum of 2 triangles + sum of the 3 rectangles

= 2 * 84 + 18*24 + 18*25 + 18*7 = 1176 ft^2

volume = 1/2*7 *24 * 18 = 1512 ft^3
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so the company wil manufacture it.

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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

What is the value of 2(x+y)² when X=3 and Y=4 ?

otez555 [7]

Answer:

98

Step-by-step explanation:

Step 1: Define

2(x + y)²

x = 3

y = 4

Step 2: Substitute and Evaluate

2(3 + 4)²

2(7)²

2(49)

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3 years ago

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Equivalent Fractions

Maru [420]

C is the correct answer

3/5 x 2 =6/10

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2 years ago