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MAVERICK [17]
3 years ago
9

Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13

Mathematics
2 answers:
denis23 [38]3 years ago
7 0
5(2x-3)-(x+8)=13
10x-15-x-8=13
9x-23=13
9x=36
x=4
rewona [7]3 years ago
4 0

Answer:

The number is 4.

Step-by-step explanation:

Let the number be = x

Five times the difference of twice a number and three can be written as 5(2x-3)

Decreased by the sum of the number and eight, (x+8)

Hence complete expression becomes:

5(2x-3)-(x +8)=13

Now solving for x;

=> 10x -15- x -8 =13

=> 9x- 23=13

=> 9x= 36

So we get x = 4

The number is 4.

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Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

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3 years ago
What is the General form of the parabola of (y-3)^2=6(x+8)
MatroZZZ [7]

Answer:

x = 1.5t^{2}  , y = 3 + 2at.

Step-by-step explanation:

For the parabola Y^{2} = 4aX ,

General form will be

(X = at^{2} , Y = 2at) ,

Thus , for the parabola (y-3)^{2} = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5t^{2} , y - 3 = 2at

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4 0
4 years ago
Help please asap!!<br> A- z=15<br> B- z= 20<br> C- z=23<br> D- z=41
grigory [225]

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

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4 0
1 year ago
Describe and correct the error a student made in finding the midpoint cd with c(-4,5) and d(-1,-4).
Gnesinka [82]

Answer:

Step-by-step explanation:

The formula for finding the midpoint of two coordinates is expressed as;

M(X,Y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})

Given the coordinates c(-4,5) and d(-1,-4), x1 = -4, y1 = 5, x2 = -1 and y2 = -4.

For the X coordinate of the midpoint

X = x1+x2/2

X = -4+(-1)/2

X = -4-1/2

X = -5/2

X = -2.5

Similarly for Y:

Y = y1+y2/2

Y = 5+(-4)/2

Y = 5-4/2

Y = 1/2

Y = 0.5

Hence the midpoint coordinate of C(-4,5) and D (-1,-4) is (-2.5, 0.5)

5 0
3 years ago
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