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2 years ago

15

Which of the following it true about √3x2

2 answers:

Leviafan [203]2 years ago

4 0

B it represents the product of one rational and one irrational and is equivalent to an irrational number

nata0808 [166]2 years ago

3 0

Answer:

B)

Step-by-step explanation:

Rational number: can be expressed as a ratio of two integers
Irrational number: cannot be expressed as a ratio of two integers

$\textsf{2 is a rational number as }2=\dfrac21$

$\sqrt{3} \textsf{ is an irrational number}$

$2\sqrt{3} \textsf{ is an irrational number}$

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What multiples to -36 but adds to 16

Softa [21]

Answer:

answer in the link below

mathhelp.mhlp

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

Find the missing value so that the line passing through the points has the given slope.

Dominik [7]

Answer:

y = 2

Step-by-step explanation:

use slope formula:

(4 - y) / (3 - 10) = -2/7

4-y / -7 = -2 /7

cross-multiply:

7(4 - y) = (-7)(-2)

28 - 7y = 14

-7y = -14

y = 2

4 0

2 years ago

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 4

kirill115 [55]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given by

Event A: the red die shows 1

Event B : the numbers add to 4

Event C: at least one of the numbers is 3

Event D : the numbers do not add to 9.

D' means the number add to 9.

We need to write the following statement in symbolic form:

Either the numbers add to 9 or the red die shows a 1.

So, it becomes,

$D'\cup A$

Number of elements in D'∪A = 1.

Hence, Third option is correct.

5 0

3 years ago

Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75

-BARSIC- [3]

Step-by-step explanation:

We can rewrite the left-hand side as

$2\log{x} + \log{3} = \log{3x^2}$

Here, we used the following properties of logarithms:

$\log{x^a} = a\log{x}$

$\log{ab} = \log{a} + \log{b}$

We can then write

$\log{3x^2} = \log{75} \Rightarrow 3x^2 = 75$

or

$x = 5$

6 0

2 years ago