Question

Is ac perpidicular to xz? explain

Answer 1

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

How to calculate the slope of any straight line?

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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Complete Question:

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