The equation is
(y-7)/x=6
y-7=6x
y=6x+7
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'
so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out
so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11
11x+5
11(5)+5
55+5=60
side b=60
12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Step-by-step explanation:
Step 1: Multiply to get the lowest common denominator
Step 2: reciprocate thw second fraction(flipping the values)
Step 3: Cancel out values.
Answer:
The point-slope form of the equation is:
Step-by-step explanation:
Given
We know the point-slope form of the line equation is

where m is the slope
substituting the values m = -3 and the point (3, -5)


Thus, the point-slope form of the equation is: