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
The answer to this question is C
On a number line, numbers always increase to the right and decrease to the left. Numbers to the right are greater than numbers to the left and numbers to the left are less than numbers to the right.
Answer:
a. 5
b. 1
c. 132
d. -2
Step-by-step explanation:
a. The square root of 4 is 2, the absolute value of -3 is 3. 2 + 3 = 5
b. 4 - (-3) / -7 = 7/ -7 = 1
c. 2 * 4^3 = 128 + (-3) - (-7) = 132
d. 2 (-7 + 3) = -8, square root to the third power of -8 is -2
I hope this helped, please mark Brainliest, thank you!!
The cost per mile driven represents the slope of the function. So b. 15 cents per mile driven is the slope-the price increases as the number of miles increase.
