1.084 because it goes tenths hundredths thousands
For this problem, we can say that corresponding angles are congruent, or the same, this also means that their angle measures have to be the same. Then, our equations for our angles will be vertical angles, which means that they must equal each other. So we would then write our equation as 3x+20=4x+10 or 4x+10=3x+20. Then, to combine like terms, we will subtract 3x from both sides, resulting in x+10=20. Then we will subtract 10 from both sides, resulting in x=10.
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x = − 70 ± √4210/30
Decimal Form:
x = −0.03
Step-by-step explanation:
5x(6x+28)=−23
Step 1: Simplify both sides of the equation.
30x2+140x=−23
Step 2: Subtract -23 from both sides.
30x2+140x−(−23)=−23−(−23)
30x2+140x+23=0
Step 3: Use quadratic formula with a=30, b=140, c=23.
x=−b±√b2−4ac/2a
x=−(140)±√(140)2−4(30)(23)/2(30)
x=−140±√16840/60
x=−7/3+1/30√4210 or x=−7/3+−1/30√4210
Answer:
Minimum - 8.1 inches
Maximum - 8.35 inches
Step-by-step explanation:
The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.
This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.
The minimum length is therefore:
8.225 - 0.125 = 8.1 inches
The maximum length is therefore:
8.225 + 0.125 = 8.35 inches
The minimum value for the function is -6
