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Ann [662]
3 years ago
7

What number should be added to both sides of the equation to complete the square x^2+3x=6

Mathematics
1 answer:
Allisa [31]3 years ago
8 0
Take half of the coefficient of x:  It is 3, and half that is 3/2.


Then   <span>x^2+3x=6  becomes:

</span><span>           x^2+3x + (3/2)^2 =6 + (3/2)^2, and

             (x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

</span>Solve (x+3/2)^2 = 6 + 9/4 for x.  There will be 2 values.
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Oxana [17]

Answer:

so you   got ehffffffffff

Step-by-step explanation:

7 0
3 years ago
Solve for n. (7^2)^4 = n^8
enyata [817]
7^2x4 = n^8
7^8 = n^8
n = 7
4 0
2 years ago
Lorene's employer pays her $8.50 per hour plus an additional $45 per week. Lorene would like to earn enough money to purchase a
Tamiku [17]

Answer:

8.50h + 45 (greater than or equal to) 300

3 0
3 years ago
Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.
Talja [164]

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3                   y =    (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8                          y =    (20 + 51) / 8

x = (-12) / 8                                     y =    (71) / 8

x = -3 / 2 = -1.5                                    y =    8.875

Thus, coordinate of point p is (-1.5, 8.875).

7 0
3 years ago
=) The perimeter of a rectangular field is 336 m.
goldenfox [79]

Answer:

Length of the field: 94 m

Width of the painting: 61 cm

Step-by-step explanation:

Use the perimeter formula, P = 2l + 2w, to find the length:

Plug in the perimeter and width into the equation:

P = 2l + 2w

336 = 2l + 2(74)

336 = 2l + 148

188 = 2l

94 = l

So, the length of the field is 94 m.

To find the width of the painting, use the area formula, A = lw

Plug in the area and length into the equation:

A = lw

5795 = 95w

61 = w

So, the width of the painting is 61 cm.

Length of the field: 94 m

Width of the painting: 61 cm

4 0
2 years ago
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