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RUDIKE [14]
3 years ago
8

Replace * with a monomial so that the trinomial may be represented by a square of a binomial:

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Please find attached photograph.

The answers are:

1) 2.5ab

2) 1/100 b^2

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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
Lerok [7]

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0
3 years ago
Explain the relationship between the legs and the hypotenuse of a right triangle.
podryga [215]

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

6 0
3 years ago
I NEED HELP! Find the distance from(-4,4) to the line defined by y= -2x+6.Express as a radical or a number rounded to the neares
marysya [2.9K]
In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is 2√5 units.


Attached below is the calculation to arrive at the answer as well as a graph.

8 0
3 years ago
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
3 years ago
Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparis
Anvisha [2.4K]

Answer:

A, B, E

Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

8 0
3 years ago
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