X2 + 3x - 4 = 0 find the value of the discriminant. a) 5 b) 6 c) 10 d) 25

D

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0, then the discriminant is

Δ = b² - 4ac

x² + 3x - 4 = 0 ← is in standard form

with a = 1, b = 3, c = - 4

b² - 4ac = 3² - (4 × 1 × - 4) = 9 - (- 16) = 9 + 16 = 25 → D

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).