Answer:
Justin travels 211.83 miles on 8.2 gallons of gas.
Step-by-step explanation:
77.5 miles / 3.1 gallons = x miles / 8.2 gallons
Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.
8.2 gallons *77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x
The first one is congruent by ASA. The second does not have to be congruent, we don’t know enough.
D.
first, eliminate B and C, because the highest degree in these two equation is 3, a 3-degree equation has 3 roots, not 4.
between A and D, A has the roots 0, 0, 7, and -7, all real roots.
D can be factored into (x²-49)(x²+1)=0
x²=49 or x²=-1
x=7 or -7, x=i or -i two real roots, two unreal roots
for the second equation:
first, find the first term by using the formula:
the nth term=the first term + (n-1)*difference
you are given the 13th term and d=3.7
a13=a1+(13-1)d
1.9=a1+12*3.7
a1=-42.5
the sum of the first 13 terms is S=(a1+a13)*(13/2)=(-42.5+1.9)*6.5=-263.9
Answer:
x=
10
429
≈2.071231518
x=−
10
429
≈−2.071231518
Step-by-step explanation:
12.7−xx=8.41
Multiply x and x to get x
2
.
12.7−x
2
=8.41
Subtract 12.7 from both sides.
−x
2
=8.41−12.7
Subtract 12.7 from 8.41 to get −4.29.
−x
2
=−4.29
Divide both sides by −1.
x
2
=
−1
−4.29
Expand
−1
−4.29
≈4.29 by multiplying both numerator and the denominator by 100.
x
2
=
−100
−429
Fraction
−100
−429
≈4.29 can be simplified to
100
429
=4.29 by removing the negative sign from both the numerator and the denominator.
x
2
=
100
429
Take the square root of both sides of the equation.
x=
10
429
x=−
10
429
Current Weight Weight after adding Marbles
Giulio: 2x 2x + 10
Jim: x x + 5
You didn't post the options so hopefully you can determine the answer based on the info I provided above.
