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Ahat [919]
3 years ago
8

For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

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Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
RUDIKE [14]

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

4 0
3 years ago
The measure of an angle is 140°. What is the measure of its supplementary angle
Darina [25.2K]

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are angles in which their measures combined add up to 180 degrees. So we can set up an equation:

140+x=180

x=40

So the other supplementary angle is 40 degrees

7 0
4 years ago
Read 2 more answers
Please help. Thank you
Inessa [10]

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

6 0
3 years ago
Lions live in groups called prides. Lion populations would most likely fall in which category of population distribution?(A) eve
AveGali [126]

Answer:

Its C. clumped

4 0
3 years ago
Read 2 more answers
What is the range of the function on the graph?
muminat
The range of a function is the set of y-coordinates of all the points int he graph of the function.
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
7 0
3 years ago
Read 2 more answers
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