Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²
d of side AC is 6
d of side CB is 10
Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²
Option C- Angelica's side lengths were too long.
Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
Simplifying:
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Answer:
34:32
Step-by-step explanation:
carry the one and you are done
Answer:
4. z = -1
5. x = 3.5 or 7/2
Step-by-step explanation:
4.
-4z + 8 = 7z +14 + 5
-4z + 8 = 7z + 19
8 = 11z + 19
-11 = 11z
-1 = z
5.
6-x/5 = 6-3x+6/3
6-x/5 = 12-3x/3
18 - 3x = 60-15x
-3x = 42 - 15x
12x = 42
x = 3.5 or 7/2