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Lena [83]
3 years ago
5

If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
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What is the average of the four smallest of integers ?
Elanso [62]
This question is easier than it seems. If there are 9 consecutive integers with the mean being 16, then 16 must be the median. So just add four on top and four below 16 to give you your range of 9 values, 12-20. 12+13+14+15+16+17+18+19+20=144, 144/9=16. So the mean of the first four numbers is (12+13+14+15)/4= 13.5. If you check, 13.5 is also the median of these four numbers.

 
6 0
3 years ago
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Paul [167]
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8 0
3 years ago
Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
e-lub [12.9K]

Answer:

DC=\frac{8}{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

BM^2=AB^2-AM^2

we have

AB=5\ units\\AM=x\ units

substitute

BM^2=5^2-x^2

BM^2=25-x^2 -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

BM^2=BC^2-MC^2

we have

BC=7\ units\\MC=AC-AM=(9-x)\ units

substitute

BM^2=7^2-(9-x)^2

BM^2=49-(81-18x+x^2)  

BM^2=49-81+18x-x^2

BM^2=-x^2+18x-32 ----> equation B

equate equation A and equation B

-x^2+18x-32=25-x^2

solve for x

18x=25+32\\18x=57\\\\x=\frac{57}{18}

Simplify

x=\frac{19}{6}

<em>Find the length of DC</em>

DC=AC-2x

substitute the given values

DC=9-2(\frac{19}{6})

DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units

8 0
3 years ago
The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab
Tomtit [17]
1 hour: $60
2 hours: $82
3 hours: $104
4 hours: $126
8 hours: $214
4 0
3 years ago
Read 2 more answers
5/3 raise to minus 5 into 5/3 raise to minus 11 is equal to 5/3 raise to x
Soloha48 [4]

Answer:

x = -2

Step-by-step explanation:

x^a × x^b = x^(a+b)

Similarly,

(5/3)^(-5) × (5/3)^(-11) = (5/3)^(-5-11)

= (5/3)^(-16)

-16 = 8x

x = -2

7 0
3 years ago
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