Answer:
The answer would be (1.23, 4.39)
Step-by-step explanation:
Because they are both equal to y, we can set the equations equal to each other and then solve.
4.9x - 1.64 = -0.25x + 4.7
5.15x - 1.64 = 4.7
5.15x = 6.34
x = 1.23
Now that we have the value for x, we can plug into either equation and find y.
y = -0.25x + 4.7
y = -0.25(1.23) + 4.7
y = -.31 + 4.7
y = 4.39
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:
-1.53 , 1.53
Step-by-step explanation:
It is basically asking you to find the percentiles. so for the bottom 6.3% you would type into your calculator 2nd, VARS, invNorm, area: .063, mean: 0, and Standard Deviation: 1 which gives you -1.53.
for the upper 6.3% you have to take 1-.063=.937 to get the upper percentile. now type into your calculator 2nd, VARS, invNorm, area: .937, mean: 0, and Standard Deviation: 1 which gives you 1.53.
I hope I helped :D
Answer:
<u>you type </u><u>75</u><u> words per minute.</u>
Step-by-step explanation:
since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)
Answer:
24
Step-by-step explanation:
1128 - 72 = 1056
1056 ÷ 43 is 24 with a remainder of 24. Ignore the remainder and you get an answer of 24
