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koban [17]
3 years ago
11

Mabel claims that the expression (2 x 2 – x – 15) + ( x – 3)( x + 7) is equivalent to 3( x – 3)( x + k) .

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

  k = 4

Step-by-step explanation:

In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...

  (x -3)(2x +5) +(x -3)(x +7)

Factoring out (x -3), we get ...

  = (x -3)(2x +5 +x +7) = (x -3)(3x +12)

  = 3(x -3)(x +4)

The value of k must be 4.

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How do you factorise x^2+2x-15
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What’s the circumference and the area for 4 in
Paladinen [302]

Answer:

C = 25.12 , A = 50.24

Step-by-step explanation:

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5 0
3 years ago
Write an equation for the line perpendicular to the line y= -2/3+7 which passes through the point (-5,6)
zysi [14]
Y = -2/3x + 7.....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. All tht means is take the original slope, flip it, and change the sign. So we take -2/3....flip it making it -3/2.....change the sign making it 3/2. So ur perpendicular line will have a slope of 3/2.

y = mx + b
slope(m) = 3/2
(-5,6)....x = -5 and y = 6
now sub and find b, the y int
6 = 3/2(-5) + b
6 = -15/2 + b
6 + 15/2 = b
12/2 + 15/2 = b
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8 0
3 years ago
write the equation if the line in slope- intercept form that passes through (7,-4) with a slope of -1.
QveST [7]

9514 1404 393

Answer:

  y = -x +3

Step-by-step explanation:

The point-slope form can be a useful place to start.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You require the line ...

  y -(-4) = -1(x -7)

  y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4

  y = -x +3 . . . . . . . . . slope-intercept form

7 0
3 years ago
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