What number is 10^2 times as long as 0.012?

Please help ASAP IM IN DESPREATE NEED OF HELP

Advocard [28]

Answer:

See the attached image for the graph of the first system.

Step-by-step explanation:

Here's how to graph the first system.

Start with the inequality $-y \le -2x-3$ . You can make this easier to work with by multiplying through by -1. Remember to switch the inequality sign when multiplying by a negative number. OK, you get the inequality

$y \ge 2x+3$ .

The graph will be a half-plane -- all the points on one side of a line. The line that is the boundary of the half-plane has an equation: $y=2x+3$ -- just use an = sign instead of the inequality sign.

Graph the line.

The equation of the line is in slope-intercept form: y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1). Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5). Draw the line through those points, (0, 3) and (1, 5).

Now you have to decide which side of the line the inequality $y \ge 2x+3$ is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the other side!)

An easy point to pick in this case is the origin, (0, 0). Put zeros in for x and y in the inequality, and you'll get the statement $0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3$ . That's false, so shade the side of the line not containing the origin. In the image below, the shading is in purple.

All right, now for the other inequality, $x+2\le 0$ . Subtract 2 from both sides and the inequality becomes $x \le -2$ . This, too, graphs as a half-plane whose boundary line has equation $x=-2$ . Graph the line. A line with an equation that has x in it but not y is a vertical line with all its x-coordinates equal to the number on the right side of the equation. This line is vertical and goes through points such as (-2, 0).

Pick a point not on the line (the origin works again). Put the coordinates into the inequality to get $0\le -2$ which is false. Shade the side of the vertical line which does not contain the origin. In the image below, the shading is in black.

Finally, YAY! \o/ , the solutions to the system are all the points in the plane that got shaded twice. In the image, they are the cross-hatched points above the purple line and to left of the black line.

Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!

Note: One of your questions has the inequalities $x \ge 0$ and $y \ge 0$ in it. These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis and to the right of the y-axis.

7 0

3 years ago

Write log3 6 as a logarithm of base 2.

Sever21 [200]

$Use:\\\log_ab=\dfrac{\log_cb}{\log_ca}\ and\ \log_ab+\log_ac=\log_a(bc)\\\\\log_36=\dfrac{\log_26}{\log_23}=\dfrac{\log_2(2\cdot3)}{\log_23}=\dfrac{\log_22+\log_23}{\log_23}\\\\=\dfrac{\log_22}{\log_23}+\dfrac{\log_23}{\log_23}=\boxed{\dfrac{1}{\log_23}+1}\\\\other\ method\\Use:\\\log_ab=\dfrac{1}{\log_ba}\\\\\log_36=\log_3(2\cdot3)=\log_32+\log_33=\log_32+1=\boxed{\dfrac{1}{\log_23}+1}$

4 0

3 years ago

a 2 1/2m board is to be used for making shelves,each using up 5/6m of board. Does he have enough board left to make another shel

Hunter-Best [27]

I dont think so because if you multiply 2 1/2 by 5/6 you would get 2 1/12 which means that you can make the first shelf but you would need to subtract 2 1/2 minus 2 1/12 and you would get 5/12. And 5/12 is not the same as 4/5

Hope this helps!!! Name me brainliest please!

6 0

3 years ago

WILL GIVE 30 points a scatter plot and a possible line of best fit is shown is the line of best fit accurate for the data shown

mart [117]

It passes through the center of the points. (2)
When doing a line of best fit, you want the line to have equal number of points on either side of the line.

7 0

3 years ago

Read 2 more answers

A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in

Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = $\frac{1}{2}$ * base * height = $\frac{1}{2}$ * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

7 0

3 years ago