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Monica [59]
3 years ago
11

Simplify the expression (2x − 9)(x + 6).

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0
(2x-9)(x+6)
2x(x+6)-9(x+6)
2x^2+6x-9x-54
2x^2+3x-54=c
It belongs to option C

xeze [42]3 years ago
3 0

(2x-9)(x+6) \\2x^2+12x-9x-54 \\2x^2+3x-54

The answer is C.

Hope this helps.

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1. (5,8) m= 3<br> It wants me to write this in slope intercept form
ikadub [295]

Answer:

The answer is: y = 3x - 7

Step-by-step explanation:

Given point: (5, 8).

Slope m = 3

Use the point slope form and solve for y:

y - y1 = m(x - x1)

y - 8 = 3(x - 5)

y - 8 = 3x - 15

y = 3x - 15 + 8

y = 3x - 7

Proof:

f(x) = 3x - 7

f(5) = 3(5) - 7

= 15 - 7 = 8, giving (5, 8)

3 0
3 years ago
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Find the image of triangle GHJ under the translation of (X,Y) ——&gt; ( x-1, y-8)
MAVERICK [17]

Answer:

triangle KLM

Step-by-step explanation:

Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at

(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).

So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.

8 0
3 years ago
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The length of a rectangle is 15 feet. The width is 8 feet. What is the perimeter of the
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Step-by-step explanation:

15+15+8+8= 46

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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
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