The slope is -2. In context to this problem, the candle will burn away 2cm of its length every hour.
Answer: A
Step-by-step explanation:
The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.
3x²-2x=0
Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.
A=3
B=-2
C=0
We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).
Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.
Therefore, A is the correct answer.
Answer:
x=−18
Step-by-step explanation:
Let's solve your equation step-by-step.
x
3
+4=−2
Step 1: Simplify both sides of the equation.
1
3
x+4=−2
Step 2: Subtract 4 from both sides.
1
3
x+4−4=−2−4
1
3
x=−6
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(−6)
x=−18
Answer:
B = 62.9ft
Step-by-step explanation:
The distance where she is from the oak tree is 75ft,
The angle of elevation the stone makes with the top of the oak tree is 40°
The height of the tree is x ft
See attached document for better illustration
Using SOHCAHTOA,
Tanθ = opposite/ adjacent
θ = 40°
Opposite = x ft
Adjacent = 75ft
Tan40 = x / 75
X = 75 × tan40
X = 75 × 0.8390
X = 62.92ft
The height of the oak tree is 62.9ft
