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otez555 [7]
3 years ago
7

If you complete the square for the equation 3x2 - 5x = 2, the answer is ( x + 5/6 )2 = 97/36.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

True

Step-by-step explanation:

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Which of the following coordinates exists on the line y = 3x + 1?
Natalija [7]

We are given

equation of line as

y=3x+1

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

1=3*3+1

1=10

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

-2=3*-1+1

-2=-2

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

4=3*-3+1

4=-8

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

6=3*2+1

6=7

we can see that

they are not equal

so, this is FALSE


6 0
3 years ago
Read 2 more answers
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

V = \frac{4}{3}\pi r^3

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
Take a look at the picture. Please write your explanation.
Vanyuwa [196]

Answer:

number of fourths in 3, 3÷ 1/4

Step-by-step explanation:

It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are

8 0
2 years ago
The fish population is growing 3 % each year in a local lake. The function to model this is A = A (1 + r)' where A is the ending
Schach [20]

Answer:

that all persons held as slaves" within the rebellious states "are, and henceforward shall be free."

7 0
2 years ago
4xi + 5yi^8+ 6xi^3 + 2yi^4
Ad libitum [116K]

Answer:

The correct answer is,

7y - 2ix

5 0
3 years ago
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