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2 years ago

Which of the following are the coordinates of the vertex of y = x2 + 12x − 9?

Mathematics

1 answer:

irga5000 [103]2 years ago

5 0

The vertex is (12,-9). Hope this helps.

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In a recent 10-year period, the change in the number of visitors in the U.S. National parks was about -11,150,000. What was the

Trava [24]

Answer:

Mean = -1,115,000 per year.

Step-by-step explanation:

Mean = (Σx)/N

The mean is the sum of variables divided by the number of variables

Σx = sum of variable = change in number of visitors over a 10 year period = -11150000

N = number of variables = 10

Mean = (-11150000)/10

Mean = -1,115,000 per year.

Hope this Helps!!!

4 0

2 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

uysha [10]

Answer:

Step-by-step explanation:

Hello There!

y = -5x^2 + 8x +4

where y = height of ball and x = seconds after ball was thrown

The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at

<em>~TheMathWiz</em>

3 0

2 years ago

It takes Matt 6 minutes to swim 12 laps in the pool. How many laps could he swim in 9 minutes?

pochemuha

Answer:

Step-by-step explanation:

6*2=12

9*2=18

Two laps per minute

4 0

2 years ago

Read 2 more answers

On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Tr

Mazyrski [523]

Answer:

A=30 B=90 C=60

Step-by-step explanation:

A=30 C=60 B=90

8 0

3 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

2 years ago

Read 2 more answers