Answer:
It is 118°
Step-by-step explanation:
because these are corresponding angles.
Let us say that h is the height of the guardrail.
Therefore the inequality equation that we can generate from this scenario is:
| h – 106 | = ± 7
There are two ways to solve this, either the equation is
positive or negative.
When the equation is positive, therefore:
| h – 106 | = 7
h = 7 + 106 = 113 cm
When the equation is negative, therefore:
| h – 106 | = - 7
h = -7 + 106 = 99 cm
So the height must be 99 cm to 113 cm
Answer:
y= -2x-22.
Step-by-step explanation:
1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;
2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);
3) the required equation in slope-interception form is:
y+16= -2x-6; ⇒ y= -2x-22.
note, the provided solution is not the only and shortest way.
Answer:
5.0 days
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial mass (N₀) = 46 g
Constant (K) = 0.1374 /day
Half life (t₁/₂) =?
The half life (t₁/₂) is related to the decay constant according to the following equation:
t₁/₂ = 0.693 / K
With the above equation, we can obtain the half-life of the substance as follow:
Constant (K) = 0.1374 /day
Half life (t₁/₂) =?
t₁/₂ = 0.693 / K
t₁/₂ = 0.693 / 0.1374
t₁/₂ = 5.04 ≈ 5.0 days
Thus, the half-life of the substance is 5.0 days
Answer:
8
Step-by-step explanation:
whatever was done to y needs to be done to x.
in this case (y) was 2x so you need to 2x (x) making 4 into 8
