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3 years ago

How many numbers are opposite to themselves?

Mathematics

2 answers:

nignag [31]3 years ago

7 0

Answer:

Step-by-step explanation:

snow_tiger [21]3 years ago

5 0

Answer:

all positive numbers and their negatives are opposites. I suppose you could say infinite and zero are also opposites.

Step-by-step explanation:

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If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).

Ugo [173]

Part A: The equation of the ship's path is $y=3x-1$

Part B: The two ships sails perpendicular to each other.

Explanation:

Part A: It is given that $m=3$ and point (2, 5)

Substituting these in the slope intercept form, we have,

$y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}$

Thus, the equation of the ship's path in slope intercept form is $y=3x-1$

Part B: The equation of the second ship is $x+3 y-6=0$

Let us bring the equation in the form of slope intercept form.

$\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}$

Thus, from the above equation the slope is $m=-\frac{1}{3}$

To determine the two ships sailing perpendicular to each other, we have

$m_{1} \times m_{2}=-1$

where $m_{1}=3$ and $m_{2}=-\frac{1}{3}$

$\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}$

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

3 0

2 years ago

What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25

VLD [36.1K]

The n-th term is given by

$a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}$

Then we can find the common ratio from the given terms.

$\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1$

The appropriate choice is -1.

8 0

3 years ago

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The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.

Leto [7]

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

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2 years ago

QUICK!!! how can you graph a point with rational coordinates on coordinate plane

Anastasy [175]

Answer:

Locate a on the x-axis.From a on the x-axis, if b is positive, move up b units, and if b is negative, move down b units.The location should now line up to a on the x-axis and to b on the y-axis, so we draw a point at the location. This is the point (a, b).

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2 years ago

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Sqrt 10 times sqrt 20

dem82 [27]

$\sqrt{10}\cdot \sqrt{20}=\sqrt{10\cdot 20}=\sqrt{200}=\sqrt{100\cdot 2}=\sqrt{100}\cdot \sqrt{2}=10\sqrt{2}$

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2 years ago