geno3141

Either hit the  e  key  or type the letter 'e'.

An equation solved for  y  so that it has the form  y  =  mx + b    is in slope-intercept form.

The value of  m  is the slope; the value of  b  is the y-intercept.

Your equation is in the right form; can you pick out the values of  m  and of  b?

Does it have a right angle (an anlge of 90°), then it's a right triangle.

If you know the sides, use the Pythagorean theorem:    a² + b²  =  c²

Choose one of the two smaller sides, put that number in for  a;

take the other smaller side and put that number in for  b;

put the largest number in for  c.

Calculate the left side (a² + b²) and calculate the right side (c²); if they're equal it's a right triangle; if they're not, it's not.

If you want a decimal approximation, use the calculator; if you want it in reduced form, write it as a number times perfect squares.

First divide out 100's:  1 800 000  =  180 x 100 x 100

Divide up 180; it is divisible by 4 and by 9, leaving a 5.

                                 1 800 000  =  5 x 4 x 9 x 100 x 100

                                √1 800 000  =  √5 x √4 x √9 x √100 x √100

                                                   =  √5 x 2 x 3 x 10 x 10

                                                   =  600√5

If the problem is written as  cos(60)(47),  then you would find the  cos(60)  and multiply it by  47;

however, I can't remember when I saw a problem written like that.

Density is mass divided by volume.

You will need to know the volume; then, divide the mass by the volume.

Is the problem  1 - (2 - a)² - (2 - a)(2 + a) - 4a ?

If so

use FOIL on   (2 - a)²  =  (2 - a)(2 - a)  =  4 -2a - 2a + a²  =  4 - 4a + a²

use FOIL on  (2 - a)(2 + a)  =  4 + 2a -2a - a²  =  4 - a²

Substitute:

1 - [( 2 - a)² ] - [ (2 - a)(2 + a) ] - 4a

1 - [ 4 - 4a + a² ] - [ 4 - a² ] - 4a

Distribute the minus signs:

1 - 4 + 4a - a² - 4 + a² - 4a

Combine like terms:

=  -7

To find the slope and the y-intercept from an equation for a straight line, place the equation in slope-intercept form:  y  =  mx + b;  that is, solve the equation for y.

The coefficient of x will be the slope, the number added or subtracted at the end will be the y-intercept.

-3x + 4y  =  -8

Add 3x to both sides:

         4y  =  3x - 8

Divide by 4:

           y  =  (3/4)x - 2

The slope is  3/4 ; the v-intercept is  -2.

The unit circle has a radius of one and is centered at the origin; therefore, every value for x must be in the range  -1 ≤ x ≤ 1  and every value for y must also be in the range  -1 ≤ y ≤ 1.

3√3 is outside the unit circle.

Obviously, if you are instructed to use one, use that one.

The ancient roots of measurement of the earth (geometry) and the sky (astronomy) was based upon degrees; so, if you are in geometry class or measuring a direction, such as 22° east of north, use degrees.

Radians are normal to our base 10 number system; degrees aren't. Once you are in calculus, radians occur naturally; degrees don't.