Answer:
The answer two your question is: 2 √14
Step-by-step explanation:
Use proportions to solve this exercise
Work with two triangles ΔRSQ and ΔRTS
Side RQ = 14
Side RS = q
Side RS = q
Side RT = 4
14/q = q/4 Solve for q
56 = q²
q = √56
Find prime factors of 56
56 2
28 2
14 2
7 7
1 Then 56 = (2²)(2)(7)
= √(2²)(2)(7)
= 2 √ 14
1.)
=(x-8i)(x+8i)
x^2+8ix-8ix-64i^2
x^2-64i^2
x^2-64(-1)
x^2+64
2.)
=(4x-7i)(4x+7i)
16x^2+28ix-28ix-49i^2
16x^2-49i^2
16x^2-49(-1)
16x^2+49
3.)
=(x+9i)(x+9i)
x^2+9ix+9ix+81i^2
x^2+18ix+81(-1)
x^2+18ix-81
4.)
=(x-2i)(x-2i)
x^2-2ix-2ix+4i^2
x^2-4ix+4(-1)
x^2-4ix-4
5.)
=[x+(3+5i)]^2
(x+5i+3)^2
(x+5i+3)(x+5i+3)
x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9
x^2+6x+10ix+30i+25i^2+9
x^2+6x+10ix+30i+25(-1)+9
x^2+6x+10ix+30i-25+9
x^2+6x+10ix+30i-16
Hope this helps :)
Answer:
16 servings of ice-cream she will have.
Step-by-step explanation:
Oliva has a total of 8 pints of ice cream in her freezer.
And she splits each pint into 1/2 pint servings
Now, the servings of ice-cream she will have is:
Therefore, Oliva will have 16 servings of ice-creams.
3 hours . . . 6 minutes . . . 45 seconds
+ 8 hours . . 55 minutes . . . 20 seconds
________________________________
11 hours . . 61 minutes . . . 65 seconds
But 65 seconds = 1 minute . . . 5 seconds
11 hours . . 62 minutes . . . 5 seconds
But 62 minutes = 1 hour . . . 2 minutes
12 hours . . 2 minutes . . . 5 seconds
I think this is regrouping, but with 60s instead of 10s.
Answer: 72 = 2^3 * 3^2
72 is even so 2 is a factor ; 72/3 = 36
36 and 36/2 = 18 are also even so we have two more 2’s as prime factors. 18/2 = 9 = 3*3 hence we have two 3’s as prime factors
Therefor the prime factors of 72 are 2*2*2*3*3 or 2^3*3^2