Is ac perpidicular to xz? explain
1 answer:
AC is not perpendicular to XZ, because the slope of AC is -1 and the slope of XZ is 2/3. Hence, the correct answer options are:
B. Is not
A. -1
<h3>How to calculate the slope of any straight line?</h3>Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
For the slope of AC, we have:
Point at A = (-1, 3)
Point at C = (4, -2)
Slope, m of AC = (-2 - 3)/(4 - (-1))
Slope, m of AC = (-2 - 3)/(4 + 1)
Slope, m of AC = -5/5.
Slope, m of AC = -1.
For the slope of XZ, we have:
Point at X = (12, 2)
Point at Z = (6, -2)
Slope, m of XZ = (-2 - 2)/(6 - 12)
Slope, m of XZ = -4/-6.
Slope, m of XZ = 2/3.
In Mathematics, a condition that must be met for two lines to be perpendicular is given by this mathematical expression:
m₁ × m₂ = -1
-1 × 2/3 = -1
-2/3 = -1 (False).
Read more on slope here: brainly.com/question/3493733
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<u>Complete Question:</u>
Look at the picture. Then choose the correct option from each drop-down menu.
AC choose..
A. Is
B. Is not
perpendicular to XZ, because the slope of AC is Choose...
A. -1
B. -2
C. 2
D. 1
and the slope of XZ is 2/3
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Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.