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3 years ago

Distance between (-5,-6) and (5,6)

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

Answer:

2 $\sqrt{61}$

Step-by-step explanation:

Look here!

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Which value from the set {3, 8, 9, 14} makes the equation true ?

Yuliya22 [10]

Answer is B: 8 hope it helps

7 0

4 years ago

Read 2 more answers

Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using Excel. Round a

Natasha2012 [34]

Answer:

0.1728

Step-by-step explanation:

We know that the random variable, X, arises from a binomial experiment, besides n = 14 and p = 0.13, so, q = 1 - p = 1 - 0.13 = 0.87. For a particular value x, we can compute the probability P(X = x) as $(nCx)p^{x}q^{n-x}$ , therefore, $P(X = 3) = (14C3)(0.13^{3})(0.87^{(14-3)}) = (14C3)(0.13^{3})(0.87^{11}) = 0.1728$ . You can copy and paste the next instruction in excel to find the answer =COMBIN(14, 3)*0.13^3*0.87^11

5 0

4 years ago

Solve the system.

gtnhenbr [62]

X = y + 11

2x + y = -2
2(y + 11) + y = -2
2y + 22 + y = -2
3y + 22 = -2
3y = -24
y = -8

x = y + 11
x = -8 + 11
x = 3

Solution set {3, -8} (C)

8 0

3 years ago

A classmate plotted the following points:

irga5000 [103]

Answer:

D(-1,0)

Step-by-step explanation:

Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).

Two sides AB and BC are of equal length and are perpendicular, because

$AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}$

If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:

$x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2$

If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:

$x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0$

Thus, D(-1,0)

7 0

4 years ago

Two numbers differ by 3. The sum of their reciprocals is 7 . Find the numbers. 10

Shalnov [3]

Answer:

5 & 2

The difference between 5 and 2 is 3 and the sum of 2 and 5 is 7

4 0

3 years ago