Answer:
Part A
it supposed to be x⩾-1/3 since you divided by negative
Step-by-step explanation:
Part A
4-6x⩾-15x+1
step 1: add -6x to both sides
4-6x+6x⩾-15x+6x+1
=4⩾-9x+1
step 2: subtract 1 from both sides
4-1⩾-9x+1-1
3⩾-9x
step 3: do reflexive property and divide
3⩾-9x
= <u>-9x⩽3</u>
-9
x⩽-1/3
and since you divided by negative, the sign must change. so it'll be x⩾-1/3
Answer:77
Step-by-step explanation:
Least Common Multiple of 7 and 11 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 11, than apply into the LCM equation.
GCF(7,11) = 1
LCM(7,11) = ( 7 × 11) / 1
LCM(7,11) = 77 / 1
LCM(7,11) = 77
Least Common Multiple (LCM) of 7 and 11 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 11. First we will calculate the prime factors of 7 and 11.
Prime Factorization of 7
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Prime Factorization of 11
Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:
11 = 111
Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 11.
LCM(7,11) = 71 × 111
LCM(7,11) = 77
X= shorter leg
x+6= longer leg
(x+6)+6= hypotenuse
Use the Pythagorean theorem to find the length of each side.
a= one leg
b= other leg
c= hypotenuse.
SHORTER LEG:
a^2 + b^2= c^2
substitute each length above
x^2 + (x+6)^2= [(x+6)+6]^2
square each set of parentheses; add inside right side parentheses before squaring
x^2 + (x+6)(x+6)= (x+12)(x+12)
squaring is multiplying each parentheses by itself one time; use the FOIL method: multiply first, multiply outside, multiply inside, multiply last
x^2 + x^2 + 6x + 6x + 36= x^2 + 12x + 12x + 144
combine like terms
2x^2 + 12x + 36= x^2 + 24x + 144
subtract x^2 from both sides
x^2 + 12x + 36= 24x + 144
subtract 24x from both sides
x^2 - 12x + 36= 144
subtract 144 from both sides
x^2 - 12x - 108= 0
factor
(x + 6)(x - 18)= 0
set each parentheses equal to 0
x + 6= 0
x= -6
x - 18= 0
x= 18 cm shorter leg
***Since a side cannot be a negative number, x= 18. Substitute x=18 to find the other sides.
LONGER LEG:
= x+6
= 18 + 6
= 24 cm longer leg
HYPOTENUSE:
= (x+6)+6
= 18 + 6 + 6
= 30 cm hypotenuse
CHECK:
18^2 + 24^2= 30^2
324 + 576= 900
900= 900
ANSWER:
x= 18 cm shorter leg
x+6= 24 cm longer leg
(x+6)+6= 30 cm hypotenuse
Hope this helps! :)
The answer is D
Please give me a brainlest
