6200.07 = 6.2 × 10^c + 7 × 10^d
Work out the values of c and d.

We have c = 3 and d = -2

Step-by-step explanation:

We want to solve the equation:

6200.07 = 6.2x10^c + 7x10^d

First, we can separate the left number into two pieces:

6200.07 = 6200 + 0.07 = 6.2x10^c + 7x10^d

Now we can solve it as:

6200 = 6.2x10^c

6200/6.2 = 10^c

1000 = 10^c

now we can use that if y = a^x, then ln(y)/ln(a) = x

here we have:

c = ln(1000)/ln(10) = 3

and

0.07 = 7x10^d

0.07/7 = 10^d

0.01 = 10^d

d = ln(0.01)/ln(10) = -2

b = 3, c = -2

Step-by-step explanation:

Given the standard form of the expression with unknown value

6200.07 = 6.2 × 10^c + 7 × 10^d

Step 1:

We will write 6200.07 as a sum of whole number and a decimal.

6200.07 = 6200+0.07

Step 2:

Expressing each term in it standard form.

6200 = 6.2×10³ ((it has a positive power because it is a value greater than zero)

0.07 = 7×10^-2 (it has a negative power because it is less than zero)

6200.07 = 6.2 × 10^3 + 7 × 10^-2

Comparing with the question, it can be seen that b = 3, c = -2

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3