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BartSMP [9]
4 years ago
12

Evaluate.

Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0
How  73 issa stable number number

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Fill in the blank to complete the following sentence. The two roots a +sqrt b and a- sqrt b are called ______ radicals.
katrin [286]

The two roots a + sqrt b and a - sqrt b are called conjugate radicals.

<u>Solution:</u>

Given that the two roots a + sqrt b and a - sqrt b are called ______ radicals.

Now let us write the each of the given two radicals in mathematical form.

So, first radical ⇒ a + sqrt b ⇒ a+\sqrt{b}   [ since sqrt means square root]

Now second radical ⇒ a - sqrt b ⇒ a-\sqrt{b}

We have to find the relation between a+\sqrt{b} \text { and } a-\sqrt{b}

Now, if observe a+\sqrt{b}  is conjugate of a-\sqrt{b} \text { as }(a+\sqrt{b})(a-\sqrt{b})=a^{2}-b

[ where radical is eliminated]

Hence, the two roots a +sqrt b and a- sqrt b are called conjugate radicals

4 0
3 years ago
Remove the parenteses from the following expression and combine like terms 2x(y-z)+x(y+z)
timofeeve [1]

Answer:

3xy - xz, or x(3y - z)

Step-by-step explanation:

2x(y-z)+x(y+z) becomes

2xy - 2xz)+ xy + xz)

combining the xy terms, we get 3xy;

combining the xz terms, we get -xz

Thus, the complete simplified expression is 3xy - xz, or x(3y - z)

7 0
3 years ago
PLEASE PLEASE PLEASE HELP​
LenaWriter [7]
84.78
Explanation:
13.5•2=27
27•3.14=84.78
7 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is given by the formula P = 2(l + w), what is the value of P if l = 2 cm and w = 1/2 cm?
Sonja [21]

Answer:

\large\boxed{C)\ 5cm}

Step-by-step explanation:

P=2(l+w)\\\\\text{Put}\ l=2cm\ \text{and}\ w=\dfrac{1}{2}cm\ \text{to the formula of the perimeter:}\\\\P=2\left(2+\dfrac{1}{2}\right)=(2)(2)+(2)\left(\dfrac{1}{2}\right)=4+1=5\ cm

8 0
3 years ago
Sasha Ruby and Mario each have 1 3 / 4 cups of flour.can they make a recipe for bread that needs 5 cups of flour
saw5 [17]
Each of them have 1 3/4 cups of flour, so together they have 2 x 1 3/4 cups. Turn the mixed number into an improper fraction in order to multiply it. 1 3/4 = 4/4 + 3/4 = 7/4.  Multiply 7/4 x 2 = 7/4 x 2/1 = 7(2) / 4(1) = 14/4, which simplified equals 3 1/2 because 14/4 = 3 r2, or 3 2/4, which equals 3 1/2. So together they have a total of 3 1/2 cups of flour. Because 3 /12 is less than 5, they do not have enough cups of flour to make the recipe.
8 0
3 years ago
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