Answer:
<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>
Step-by-step explanation:
• General quadratic equation:

• sum of roots → 4 + 5 = 9
• product of roots → 4 × 5 = 20
• substitute:

Answer:
Mom === 10.25
Daughter === 3.25
Step-by-step explanation:
Let’s the mom age be 7+x and the daughters age be x. Put it in a linear equation 7+x=5(4+x).
open the bracket which will give you 7+x=20+5x.
collect like terms which will give you 5x-x=20–7 and you will get 4x=13 where x is 3.25 the mom is 10.25 and the daughters age is 3.25
There are 2 solutions in that equation
Answer:
DC = 2
Step-by-step explanation:
The wrong equation was used.
The right equation to use based on the midsegment theorem of a trapezoid is:
MN = ½(AB + DC)
MN = 8
AB = 14
Substitute
8 = ½(14 + DC)
Multiply both sides by 2
8*2 = ½(14 + DC)*2
2*8 = 14 + DC
16 = 14 + DC
16 - 14 = 14 + DC - 14
2 = DC
DC = 2