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crimeas [40]
3 years ago
6

How do you find the vertex if the equation is given ingiven in factored form?

Mathematics
1 answer:
lidiya [134]3 years ago
7 0
If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values.  For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.

Once you have this x value, subst. the value into the given equation to calculate y.  Then write the vertex as (x,y).
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omeli [17]

Step-by-step explanation:

it will take you 15 minutes

7 0
3 years ago
Among the contestants in a competition are 50 women and 26 men. If 5 winners are randomly selected, qhat js the probability that
liq [111]

Answer:

Probability that all winner are men = 0.0035 (Approx.)

Step-by-step explanation:

Given:

Number of women = 50

Number of men = 26

Total number winner = 5

Find:

Probability that all winner are men

Computation:

Total competitor = 50 + 26 = 76

Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72

Probability that all winner are men = 7,893,600 / 2,216,980,800

Probability that all winner are men = 0.0035 (Approx.)

5 0
3 years ago
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
Bogdan [553]

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

7 0
3 years ago
What is the sum of 2x+1 and its opposite?
Masja [62]

Answer:

Zero. The sum of anything and it's opposite is zero, that's how an opposite is defined . In this case, the opposite of 2x+1 is -(2x+1)=-2x-1 by the distributive property . Adding like terms, 2x+-2x+1+-1=0+0=0.

6 0
3 years ago
Read 2 more answers
Which of the following could be the third side of an obtuse triangle with the other two side lengths of 6 and 7.
Nataly_w [17]
Pythagorean theorem.
a^2+b^2=c^2
6^2+7^2=c^2
36 + 49 = c^2
85 = c^2
sqrt of 85 = 9.22

So the best answer would be C. 9
4 0
3 years ago
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