Answer:
x = 11
Step-by-step explanation:
Properties of a square,
1). Diagonal of a square bisect the opposite angles.
2). All interior angles of a square measure 90°.
From these properties,
m∠PQR = 90°
Since, diagonal QS bisects angle PQR,
m∠PQS = m∠RQS = 45°
(6x - 21)° = 45°
6x = 45 + 21
6x = 66
x = 11
Answer:
x = 6 + 3√10
Step-by-step explanation:
Since this is an unfactorable expression, we need to apply the Quadratic Formula, <em>-</em><em>b</em><em> </em><em>±</em><em> </em><em>√</em><em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em><em>\</em><em>2a</em><em> </em>[radical wrapped around <em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em>]. Evaluate, then you will end up with the answer above.
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Hey there! :)
Answer:
h(x) = 3x² - 7x - 6
Step-by-step explanation:
Calculate h(x) by adding the two polynomials:
h(x) = f(x) + g(x):
h(x) = x² - 3x + 5 + 2x² - 4x - 11
Combine like terms:
h(x) = 3x² - 7x - 6
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
20 is the answer to that!
:D
