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e-lub [12.9K]
3 years ago
8

HELP.meeee for math​

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

I think it’s 3 but I’m not sure

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help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.​
nirvana33 [79]

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

8 0
3 years ago
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of
mixer [17]
Notice the picture below

x = 1 and y = -1

now... recall your SOH CAH TOA   \bf sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}

now.. what's the value for "r" or the radius? well, using the pythagorean theorem \bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
a=x\\
b=y\\
c=r
\end{cases}

6 0
3 years ago
14, 10, 2, 5, 8, 12, 12, 3, 2, 2, 13, 15, 6 Find the median
hoa [83]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical<br> form.<br> 8<br> 17
statuscvo [17]

Answer:

9

Step-by-step explanation:

so we know that its a right triangle and 8 and \sqrt{17} are not the hypotenuse.

the equation for this is a^{2}+b^{2}=c^{2} with c being the hypotenuse.

8^{2}+\sqrt{17} ^{2}=c^{2}

64+17=c^{2}

81=c

\sqrt{81}=c

9=c

7 0
3 years ago
Read 2 more answers
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
horrorfan [7]
The actual length :
26.8 * 0.5 = 13.4 meters

The actual width :
12.2 * 0.5 = 6.1 meters

The actual area of the court:
13.4 * 6.1 = 81.74 meters square

Hope that helps you
6 0
3 years ago
Read 2 more answers
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