X² + 5x = 24, it turns into
(x + a) (x + b) = 0 where a < b

what is a?
what is b?

a = -3 and b = 8

Step-by-step explanation:

change it into x² + 5x - 24 = 0

then think two number which:

if we add both off them the result will be +5 and

if we multiply them, the result is -24

so i came with +8 and -3

then the quadratic equation can change form into

(x-3)(x+8) = 0

so a = -3 and b is 8

a = -3, b = 8

Step-by-step explanation:

=>

Using mid-term break formula

=> = 0

=> x(x+8)-3(x+8) = 0

=> (x-3)(x+8) = 0

Comparing it with (x+a)(x+b) = 0

We get , a = -3, b = 8

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.