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Sati [7]
3 years ago
13

On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4

to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the fifth tick mark to the right of 0. negative 2 and 2 over 4 negative 1 and 1 over 4 1 and 1 over 4 2 and 2 over 4

Mathematics
2 answers:
Temka [501]3 years ago
7 0

Answer:

-1\frac{1}{4}

option 2

Step-by-step explanation:

In this number line, each interval equals 1/4.

P represents 1 1/4

So, opposite of number P is   ( -1\frac{1}{4} )

Shtirlitz [24]3 years ago
3 0
Option 2 would be the best answer
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3 years ago
Find two consecutive even integers such that the square of the first, decreased by the second is 130
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Let's make the first even integer m and the second even integer n. The square of the first, decreased by the second is 130 is:

m^{2}-n=130  ---> Add n to each side
m^{2}=130+n ---> Take the square root of each side
m=±\sqrt{130+n}

Let's look at the first square number above 130, which is 12^{2}. <em>m</em> is 12, therefore the next consecutive even integer is 14.

12^{2}=144
144-14=130

The two consecutive integers are 12 and 14
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4 years ago
A brother and a sister are in the same math class. there are 8 boys and 20 girls in the class. one boy and one girl are randomly
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I don't understand how to get the answer to problem 9
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Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin
SpyIntel [72]

The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).

Then the equation can be written as

\rm \sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2 + (y-y)^2}\\\\\sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2}

On squaring both sides, we have

\begin{aligned} (x-4)^2 +(y-0)^2 &=  (x+4)^2 \\\\x^2 + 16 - 8x +y^2  &= x^2 + 16 + 8x\\\\y^2 &= 16x \end{aligned}

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ4

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