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iren [92.7K]
3 years ago
13

PLEASE AND THANK YOU CONFUSED ON THIS

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

After staring at this for a few seconds, I think the equation

-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}

is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.

Notice that

\sqrt{10}=\sqrt{5\cdot2}=\sqrt5\cdot\sqrt2

\sqrt{15}=\sqrt{5\cdot3}=\sqrt5\cdot\sqrt3

\implies\sqrt{10}\cdot\sqrt{15}=(\sqrt5)^2\cdot\sqrt2\cdot\sqrt3=5\sqrt{2\cdot3}=5\sqrt6

Then multiplying by -5, we have

-5\sqrt{10}\cdot\sqrt{15}=-25\sqrt6

so I believe [1] = -25, and [2] = 6.

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Can somebody please give me a step by step explanation. I have the answer I just don’t know how to show work!!!!!!! Please!!!
krek1111 [17]

Answer:

5391.76

Step-by-step explanation:

We have a rectangle and 2 semicircles

First find the area of the rectangle

A = l*w

A = 44*88= 3872

Then we know that 2 semicircles = 1 circle

The area of a circle is

A = pi r^2

The diameter is 44 so the radius is 22

A = pi * 22^2

A = pi484

A =1519.76

Add the areas together

1519.76+3872

5391.76

7 0
3 years ago
A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t
valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

7 0
3 years ago
Read 2 more answers
Suppose f(x)=x^2+3 and g(x)=x-2 find (f-g)(x
SSSSS [86.1K]

Answer:

x^2-x+5

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

= (x^2 + 3) - (x - 2)   (Don’t forget the -1 multiplies to the x AND -2

= x^2 + 3 - x + 2

=x^2-x+5

6 0
3 years ago
The cost of cementing 30 m² of floor area is $810. How much will it
Y_Kistochka [10]

Answer:

The answer is 1485 m^2

Step-by-step explanation:

27 per m^2 so 27 times 55 = 1485 m^2

6 0
3 years ago
Read 2 more answers
A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?
Ostrovityanka [42]

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

8 0
2 years ago
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