Solving polynomial equations by factoring solve: 1/2x^2+5x+25/2=0 full explanation ,

x=-5

Step-by-step explanation:

1/2x^2+5x+25/2=0

Multiply each side by 2 to clear the fractions

2*(1/2x^2+5x+25/2)=0*2

Distribute

x^2+10x+25=0

What two numbers multiply together to give us 25 and add together to give us 10

5*5 = 25

5+5 =10

(x+5) (x+5) =0

Using the zero product property

x+5 =0  x+5 = 0

x+5-5= 0-5    x+5-5 =0-5

x=-5  x=-5

x=-5

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!