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V125BC [204]
3 years ago
15

Simplify the following polynomial: (3ax +2a - 3a²x) + (3a²x - 5ax - a) + 8a

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0
8ax+9a is the answer
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Make q subject of the formula 2(q+p) = 1+5q
m_a_m_a [10]

Answer:

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6 0
2 years ago
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steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>

<em />

And since the sum of the interior angles of a triangle total 180°, we acquire:

\angle PAB+\angle PBA+\angle PCB+\angle PBC=180

Since they are all equivalent:

4x=180

Hence:

x=45^\circ

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ

8 0
2 years ago
Read 2 more answers
Identify the effect on the graph of replacing f(x) by f(x - h)
Tresset [83]

Given:

Replace f(x) by f(x - h).

To find:

The effect on the graph of replacing f(x) by f(x - h).

Solution:

Horizontal shift is defined as:

If the graph f(x) shifts h units left, then f(x+h).

If the graph f(x) shifts h units right, then f(x-h).

Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

4 0
2 years ago
What is the volume?<br>h<br>12 cm<br>Round your answer to the nearest tenths:​
denis23 [38]

Answer: So if its a sphere the answer its 7238.2.

If its a cylinder the answer is 371.7.

If its a triangular shape the answer is  

123.9.

6 0
3 years ago
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