Answer:

Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 5) and (x₂, y₂ ) = B(3, 8)
d = 
= 
= 
= 
Answer:
Step-by-step explanation:
(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15
Leading coefficient is -8
Answer:
b=5V2
Step-by-step explanation:
Area =31 1/4 = b*12.5 sin45/2=b*12.5*V2/2* 1/2=12.5V2/4 *b
(31*4+1)/4=125/4
so 125/4= 12.5V2*b/4
12.5V2*b=125
b=125/12.5V2=10/V2=10V2/2=5V2
Answers:
15) x = 8, 
16) x = 9,
, 
17) x = 6,
, 
<u>Step-by-step explanation:</u>
15x³ - 119x² - 10x + 16 = 0

So, the possible rational roots are: +/- 
Use synthetic division with each one until you find a remainder of zero. I am not going to go through each one because it is too time consuming, however, the first one that works is x = 8
(x - 8)(15x² + x - 2)
Next, factor 15x² + x - 2 using any method
(x - 8)(3x - 1)(5x + 2)
Now, solve for x.
x = 8, x =
, x = 
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For #16 & 17, follow the same process as above.