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3 years ago

Simplify: l 120-x l if x<120

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

120-x

Step-by-step explanation:

If x is already less, then you don't need absolute value

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Solve x:<br> (On the attachment), please help, due in for tomorrow! Xx

Zolol [24]

7(4-x) = -14

Use Distributive Property"

28-7x = -14

Subtract 28 from each side:

-7x = --42

Divide both sides by -7:

x = 6

7 0

3 years ago

Read 2 more answers

Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

$(x,y)\rightarrow (-y,x)$

The corresponding sides of image A"B"C" are smaller than the preimage ABC.

$k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}$

Since k<0, therefore the transformation shows the reduction. The dilation rule is

$(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)$

$A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)$

$B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)$

$C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)$

Option B is correct.

4 0

3 years ago

Read 2 more answers

Factor x^2-6x+9 <<< Need Help?

Triss [41]

Hey!!
So to factor it, you want to see what 2 numbers will multiply and make 9 and what 2 numbers will add and make -6.
so 9 and 1 and -9 and -1 make 9 but they dont make -6.
3 and 3 and -3 and -3 make 9, but we need to see which one makes -6. that would be -3 and -3
so the answer is (x-3)(x-3)

you can foil to make sure.
x * x is x^2
-3*x=-3x
-3*x=-3x
-3x-3x = -6x
-3*-3 is 9
so it is x^2-6x+9 which makes the original equation

Hope this helps!

8 0

3 years ago

Read 2 more answers

Consider the pie chart given below giving the results of a survey asking

irina [24]

The answer is 56 people out of the 200

3 0

3 years ago

consider the line y=9x-2. find the equation of the line that is perpendicular to this line and passes through the point (2,-6).

seraphim [82]

Answer:

m = 0, (2,2)

Step-by-step explanation:

(-7, 1) , m = 2

(2, 5) , m = 3

6 0

3 years ago