Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative

(x-14)(x-2)=0
set each to zero
x-14=0
x=14

x-2=0
x=2

x=2 and 14

7 0

3 years ago

Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6

svetlana [45]

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

4 0

3 years ago

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

Roman55 [17]

Answer:

$\frac{16}{9}$ 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:

$a=\frac{k}{b}$

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

$t=\frac{k}{r}$

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

$t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80$

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

$t=\frac{80}{45}\\t=\frac{16}{9}$

So, it would take $\frac{16}{9}$ hours

4 0

3 years ago

QUICKK

VLD [36.1K]

3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps

7 0

3 years ago