geno3141

2.5² x 3.5²  =  6.25 x 12.25  =  76.5625

Calculators are useful!

To subtract means to add the opposite; so subracting a negative is the same as adding a positive:

3 - -3  =  3 + 3  = 6

3x - 14 + 2(x - 9)  =  2x - 2

Use the distributive property:

3x - 14 + 2x - 18  =  2x - 2

Simplify:

5x - 32  =  2x - 2

Subtract 2x from both sides:

3x - 32  =  -2

Add 32 to both sides:

3x  =  30

Divide both sides by 3:

x  =  10

If each '?' represents a different number or variable, there are two many numbers/variables to determine a single nanswer.

The x-value of the vertex will be half-ways between the two zeroes. Half-ways between x = 10 and x = 34         is x = 22; so the vertex is the point (22, 24).

An equation of a parabola is:  y - k  =  a(x - h)²  where the vertex is (h, k) = (22, 24).

--->   y - 24  =  a(x - 22)²       Since a point on the graph is (10, 0), replaceng x with 10 and y with 0:

--->   0 - 24  =  a(10 - 22)² 

--->   -24  =  a(-12)² 

--->   -24  =  144a

--->   a  =  =1/6

Equaiton is:  y - 24  =  (-1/6)(x - 22)² 

20x + 24  =  12x - 3

Get all the variables to one side; subtract 12x from both sides:

--->     8x + 24  =  -3

Get all the number terms to the other side; subtract 24 from both sides:

--->     8x  =  -27

Divide both sids by 8:

--->     x  =  -27/8

t0  =  1/3 + i/9

f(t)  =  9t - 3

--->   f(1)  =  9[1/3 + i/9] - 3  =  3 + i - 3  =  i

--->   t(2)  =  9[i] - 3  =  9i - 3

--->   t(3)  =  9[9i - 3] - 3  =  81t - 27 - 3  =  81i - 30 

In a right triangle, the sine of an angle is defined to be the ratio of the opposite side divided by the hypotenuse.

     sin(A)  =  opp/hyp   --->   sin(A)  =  9.5/151.5   --->   sin(A)  =  0.0627   --->   A  =  invsin( 0.0627)  

     --->   A  =  3.6°

Distance  =  Rate x Time

35 mi  =  Rate x 2.5 hrs

35 mi / 2.5 hrs  =  Rate

...   simplify the answer   ...

0.25  =  25/100  =  1/4