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3 years ago

Is -x equal to -1x?

Mathematics

2 answers:

Lapatulllka [165]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

-1x is a short notation for -1 * x. the "-" can stand for -1

So it would be (-1) * (1) * x

-x is also -1 * x

By the identity property of multiplication, a number x 1 remains the same number.

So it would be -1 * x, which is the same as -1 * x, so they're equal.

LUCKY_DIMON [66]3 years ago

3 0

Answer: yes!

Step-by-step explanation:

Any variable that doesn’t have an integer in front of it, it is implied that it is a (1). Ex: x or -x is the same as 1x or -1x

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If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

First we will find the centre, (a , b):

$a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$

Find radius:

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

Equation of the circle is :

$(x - 1)^2 +(y-1)^2 = 13$

4 0

3 years ago

How many miles can you go on 28 gallons

ArbitrLikvidat [17]

Answer:

depends on how many miles you can go on 1 mile.

6 0

3 years ago

Read 2 more answers

At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to

In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

So we have to take the 1st derivative of the equation then equate dy / dx to zero.

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).

3 0

4 years ago

Cho tam giác ABC vuông tại A < góc B=a chứng minh: a) 1+<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7D" id="TexFormula1" tit

dimaraw [331]

$\\ \sf\longmapsto 1+tan^2A$

$\boxed{\sf tanA=\dfrac{sinA}{cosA}}$

$\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}$

$\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}$

$\boxed{\sf cos^2A+sin^2A=1}$

$\\ \sf\longmapsto \dfrac{1}{cos^2A}$

$\\ \sf\longmapsto \dfrac{1}{1-sin^2A}$

$\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}$

$\\ \sf\longmapsto \dfrac{1}{sin^2A}$

Hence verified

8 0

3 years ago

PLEASE HELP ME!

aleksandrvk [35]

E is really just 10, and +7 means it's a positive exponent. So it is 3.82 x 10 to the power of 17. I can't write exponents on my phone, but this is scientific notation.

6 0

3 years ago