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IgorLugansk [536]
3 years ago
6

title="(\sqrt(2)-\sqrt(-2))(\sqrt(18)+\sqrt(-2))" alt="(\sqrt(2)-\sqrt(-2))(\sqrt(18)+\sqrt(-2))" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
prohojiy [21]3 years ago
5 0
Rewrite as (2^1/2 + 2^1/2)*(18^1/2-2^1/2) = 8
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NEED HELP ASP
Nostrana [21]
<h3>Answer: B) $878.28</h3>

================================================

Explanation:

She starts off $16.75 in debt

Later on she deposits $16.75 to get completely out of debt and make the balance 0. This is after depositing the $5.72

So far her balance is $5.72

Add on $872.56 to get 5.72+872.56 = 878.28

-------------

This is what your steps may look like

-16.75 + (5.72 + 16.75)

-16.75 + (16.75 + 5.72)

(-16.75+16.75) + 5.72

(0) + 5.72

5.72

5.72+872.56

878.28

3 0
3 years ago
Read 2 more answers
10 3/9- 10 2/5 Im to lazy to do it please help me out.
coldgirl [10]

Answer:

\boxed{ \ -  \frac{3}{45} }

Step-by-step explanation:

10 3/9 - 10 2/5

we need to convert mixed fractions to improper fractions

10 \frac{3}{9}  =  \frac{10 \times 9 + 3}{9}  =  \frac{93}{9}

10 \frac{2}{5}  =  \frac{10 \times 5 + 2}{5}  =  \frac{52}{5}

Now, we have 93/9 - 52/5

We need to equate the denominators, before subtracting them.

\frac{93}{9}  -  \frac{52}{5}  =  \frac{93 \times 5}{45}  -  \frac{52 \times 9}{45}

\frac{465}{45}  -  \frac{468}{45}

\frac{ - 3}{45}

\boxed{ -  \frac{3}{45} }

The result of 10 3/9- 10 2/5 is - 3/45

8 0
2 years ago
Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

4 0
3 years ago
Solve the system by substitution x=-8y-15 2x+5y=-8
Ghella [55]

To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation.  This is modeled below:

x = -8y - 15

2x + 5y = -8

2 (-8y - 15) + 5y = -8

Now, we should solve this new equation for y.  To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.

-16y - 30 + 5y = -8

Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.

-11y - 30 = -8

Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.

-11y = 22

After that, we should divide both sides of the equation by -11 in order to get the variable y alone.

y = -2

Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).

x = -8y - 15

x = -8(-2) - 15

To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.

x = 16 - 15

x = 1

Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.  

Hope this helps!

3 0
3 years ago
Read 2 more answers
For each of the functions below, indicate whether the function is onto, one-to-one, neither orboth. If the function is not onto
Karo-lina-s [1.5K]

Answer:

f_{1} :Z \rightarrow Z is one to one mapping, it is not onto mapping

Step-by-step explanation:

f_{1} :Z \rightarrow Z\\ f_{1} (x) = x^{3}

f₁(x) is one to one mapping

Let x, y \epsilon Z

f₁(x) = f₁(y):

x₁³ = y₁³

f₁(x) is not onto mapping

Example: If f₁(x) = 7,

x₁³ = 7

x_{1} = \sqrt[3]{7}

x₁ is not an element of Z

f_{1} :Z \rightarrow Z is one to one mapping, it is not onto mapping

5 0
3 years ago
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