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postnew [5]
3 years ago
7

What value of g makes the equation true? (x+7)(x-4)=x²+gx-28

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

g=3

Step-by-step explanation:

multiply x with x-4 and +7 with x-4 to open the brackets

x^2 - 4x + 7x - 28 = x^2 +gx - 28

x^2 + 3x - 28 = x^2 + gx -28

x^2 - x^2 + 3x -28 + 28 = gx

gx is kept alone on the other side because we have to find value of g

cancel out +x^2 -x^2 and +28 -28

we ll be left with

3x = gx

divide both sides by x

3x/x = gx/x

cancel out x in the numerators with the x in the denominators

3 = g

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swat32
(6.8\cdot10^3)\cdot(4.54\cdot10^6)=(6.8\cdot4.54)\cdot(10^3\cdot10^6)=30.872\cdot10^{3+6}\\\\=30.872\cdot10^9=3.0872\cdot10^{10}

8 0
3 years ago
What is the width of a rectangle with length 5.5 cm and area 220 cm???
Aleks04 [339]
40 cm. Just divide the area by the length. Hope this helps!
7 0
3 years ago
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer
Otrada [13]

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

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subtract 2x from each side

2 = x-19

add 19 to each side

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3 0
3 years ago
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
VashaNatasha [74]

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

<em>(EDITED)</em> Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

6 0
2 years ago
Please help me! Don't understand.
FromTheMoon [43]
The new area would be 270
7 0
3 years ago
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