Answer:
got what?
Step-by-step explanation:
You can use the 3 4 5 triangle to compare their ratios like 40/3: 42/4:58:5
and yes it is.
This pattern forms an arithmetic sequence with the first term
. The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,
![a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29](https://tex.z-dn.net/?f=a_2%3Da_0%2B6%3D5%2B6%3D11%5C%5C%5C%5Ca_3%3Da_2%2B6%3D11%2B6%3D17%5C%5C%5C%5Ca_4%3Da_3%2B6%3D17%2B6%3D23%5C%5C%5C%5Ca_5%3Da_4%2B6%3D23%2B6%3D29)
The first terms of this sequence are 5, 11, 17, 23,29.
Given we don't know which is the hypotenuse, either FE is, or DF is. Note it can't be DE as the hypotenuse is the longest side and you already know FE is longer than DE.
<span>According to pythagoras: </span>
<span>either FE² = DE² + DF² </span>
<span>or DF² = DE² + FE² </span>
<span>8² = 6² + x² </span>
<span>x² = 64 - 36 </span>
<span>x = √28 = 5.291... </span>
<span>Not one of the given answers so... </span>
<span>x² = 6² + 8² </span>
<span>x² = 36 + 64 </span>
<span>x = √100 = 10 </span>
<span>answer: B) 10 for the frist one</span>
Question 1:
I'm actually not sure which term you ment exactly, so I calculated the solution for three possible variations of your term, depending on how one sets the brackets.
To calculate an ordered pay just set x or y to some value, insert it into the equation and you get the solution for the other variable.
In these calculations I always picked x so values would get eliminated or as close to 0 as possible to make it easier.
variation 1 of term:
y=(5^4)*(x-3)
insert x=3
y=(5^4)*(3-3)==(5^4)*0=0
pair: (3,0)
variation 2 of term:
y=(5^4)*x-3
insert x=0:
y=(5^4)*0-3=0-3=-3
pair: (0,-3)
variation 3 of term:
y=5^(4*x-3)
insert x=1:
y=5^(4*1-3)=5^1=5
pair: (1,5)
question 2:
2y=-5x-4
just insert the pairs as (x,y) into the equation:
a. (-2,3)
2*3=-5*-2-4
6=10-4 yes
b. (1,-4)
2*-4=-5*1-4
-8=-9 no
c. (0,2)
2*2=-5*0-4
4=-4 no
d. (-1,1)
2*1=-5*-1-4
2=5-4 no