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3 years ago

Select the correct answer! Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5?

Mathematics

2 answers:

Oliga [24]3 years ago

6 0

Answer:

the vertex is (2,-5)

Step-by-step explanation:

f(x) = 6|x − 2| − 5

WE need to find out the vertex of the given absolute function

The vertex form of absolute function is

f(x) = a|x − h| +k

where (h,k) is the vertex

Now we compare the given f(x) with the vertex form

h= 2 and k = -5

so the vertex is (2,-5)

Alexxandr [17]3 years ago

4 0

The Answer to your question is:

B: (2,-5)

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seraphim [82]

Answer:

-0.25, 3/12, 1/4

Step-by-step explanation:

Absolute value is a numbers distance away from zero.

0.4 does not work

-0.25 has and absolute value of 0.25

3/12=1/4=0.25

1/4=0.25

6 0

2 years ago

Read 2 more answers

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create A'B'C'D'. If the endpoints of

Sonja [21]

The distance formula is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)

Distance AB = $\sqrt{(8-0)^2+(8--7)^2}$
Distance AB = $\sqrt{8^2+15^2}$
Distance AB = $\sqrt{289}$
Distance AB = 17

The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2

Distance A'B' = 2 × 17 = 34 units

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3 years ago

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

Ira Lisetskai [31]

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, $T = 2\pi \sqrt{\frac{L}{32}}$ , where T is the time taken and L is the length of the swing.

So, we have,

$2.2= 2\pi \sqrt{\frac{L}{32}}$

i.e. $\frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}$

i.e. $(\frac{2.2}{2\pi})^{2}=\frac{L}{32}$

i.e. $L=32\times (\frac{2.2}{2\pi})^{2}$

i.e. $L=32\times \frac{4.84}{4 \pi^2}$

i.e. $L=32\times \frac{1.21}{\pi^2}$

i.e. $L=\frac{38.72}{9.87}$

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.

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2 years ago

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3 years ago

Can you form an angle bisector hen the angle is a straight line?

Arte-miy333 [17]

Yes. Angle bisector means where after splitting the angle the 2 angles formed has the same size.
Therfore when you construct an angle bisector on a straight line, both new angles would be 90°, and the angle bisector is just right in the middle.

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3 years ago