All categories

3 years ago

What is the missing exponent (10^6)^_=10^-18

1 answer:

3 0

Hello,

You have to know this property:

$(x^{a})^b=x^{a*b}\\\\We have:\\\\(10^6)^x=10^{-18}\\\\So:\\ \\ 6*x=-18 \\ x= \frac{-18}{6} \\ \boxed{x=-3}$

You might be interested in

Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

3 years ago

220-450+9 <br>Will mark brainliest

Citrus2011 [14]

Answer:

Step-by-step explanation:

<h3>I hope l helped you .</h3><h3>Please follow me. ❤❤</h3>

3 0

3 years ago

HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each o

laila [671]

Answer:

The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.

Step-by-step explanation:

It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.

Meaning

If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .

The first three choices are incorrect because

1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.

2) The base angles of any triangle can be different or same .

3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.

4 0

3 years ago

Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12

dedylja [7]

Answer:

y = $\frac{1}{2}$ x - 2

Step-by-step explanation:

Given parameters:

Coordinates = p(4,0)

Equation of the line -x+2y=12

Solution:

A line parallel to the given line will have the same slope as it is;

-x+2y=12

2y = x + 12

y = $\frac{1}{2}$ x + $\frac{12}{2}$

Since this conforms to y = mx + c where;

x and y are the coordinates

m is the slope

c is the intercept

Our slope is $\frac{1}{2}$

The equation of the line is

y = mx + c

let us find c;

c = y - mx

c = 0 - ( $\frac{1}{2}$ x 4)

c = -2

Now the equation of the line parallel to the line given is;

y = $\frac{1}{2}$ x - 2

7 0

3 years ago

Please help, no one is helping points are 20 for this so help i need to know asap

Tpy6a [65]

Answer:

It's first term is - 6. Fifth term is 6

8 0

3 years ago

Read 2 more answers