Answer:
m = 15/4
Step-by-step explanation:
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-5 , -10)
(x₂ , y₂) = (-1 , 5)
Plug in the corresponding numbers to the corresponding variables:
m = (5 - (-10))/(-1 - (-5))
m = (5 + 10)/(-1 + 5)
m = (15)/(4)
m = 15/4 is your answer.
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Answer:
y= 35⁰
x = 55⁰
Step-by-step explanation:
total angle of triangle is 180⁰
therefore we can equate:
x + (x-20) + 90 = 180
2x + 70 = 180
x = 55⁰
total of x and y is equal to 90⁰ since it is a right angle;
x + y = 90
x = 55⁰
55⁰ + y = 90
y = 35⁰
Answer: The product of 8 and n it is 8n
Step-by-step explanation:
The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+<em>i</em> is a root, so 6-<em>i</em> is also a root.
So the simplest polynomial you can build with these roots is
(<em>x</em> - (-5)) (<em>x</em> - (6 + <em>i </em>)) (<em>x</em> - (6 - <em>i</em> )) = <em>x</em> ^3 - 7<em>x</em> ^2 - 23<em>x</em> + 185
(first choice)
