Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
<em>Expand:</em>
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
<em>Expand</em>:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
<em>Simplify:</em>
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
<span>x^2-6x+-14=0 works out the same way</span>
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle BDC
Find the value of j
Applying the Pythagorean Theorem


step 2
In the right triangle ABD
Applying the Pythagorean Theorem
----> equation A
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
----> equation B
step 4
Substitute equation A in equation B

solve for g

Answer: 214.8
Step-by-step explanation:
First move the decimal to the right, in this case 8.95 = 895., then multiply the 24 by 895. to get 21480., you then move the decimal to the left and you get 214.80 or 214.8.
Answer:
hours
Step-by-step explanation:
Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

Now, secondly, we have r = 45 and k = 80, we need to find t:

So, it would take
hours