Answer:
Slope (m) = infinity
Step-by-step explanation:
Given points:
⇒ (9, 2) and (9, 27)
In order to find the <em>slope</em> of these points, we must use the <em>slope</em> formula.
So the formula is ⇒ y₂ - y₁ / x₂ - x₁
<em>Plug</em> in the<em> given </em>points:
⇒ 27 - 2 / 9 - 9
Solve both the top and bottom (<em>numerator and denominator</em>):
⇒ 25 / 0
Divide:
⇒<em> Undefined. </em>
(<em>Anything</em><em> </em>divided by <em>zero</em> is undefined).
TO figure out, we need to plug in x=0 and then check if y = 7.
And the answer is B, y = x + 7, <span>because at x=0, we have y = 0 + 7 = 7, which matches the given point (0,7)</span>
Answer:
0.4196
0.2098
0.0280
0.2378
Step-by-step explanation:
Given that:
Number of females = 8
Number of males = 6
Total = 8 + 6 = 14
Number of positions = 5
Probability = required outcome / Total possible outcomes
Total possible outcomes = 14C5
nCr = n! / (n-r)! r!
14C5 = 2002 (from calculator)
(A) 3 females and 2 males?
Required outcome : 8C3 * 6C2 = 56 * 15 = 840
840 / 2002 = 0.4196
(B) 4 females and 1 male?
(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098
(C) 5 females?
8C5 / 14C5 = 56 / 2002 = 0.0280
(D) At least 4 females?
4 female 1 male + 5 females
((8C4 * 6C1) + 8C5) / 14C5
(420 + 56) / 2002 = 0.2378
"÷" quotient (a/b)
"×" times
n - a number
The quotient of 7 and a number is 10 less than 3 times the number:
Answer:
With points A, B and C a right triangle is formed.
Given that BC ⊥ CA, then m∠C = 90°.
The addition of the angles of a triangle is equal to 180°, therefore:
m∠A + m∠B + m∠C = 180°
Substituting with m∠C = 90°:
m∠A + m∠B + 90° = 180°
m∠A + m∠B = 180° - 90°
m∠A + m∠B = 90°
