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lyudmila [28]
2 years ago
5

Please try and answer this ASAP ! Which point lies on the circle represented by the equation (x − 3)2 + (y + 4)2 = 62?

Mathematics
2 answers:
Alex787 [66]2 years ago
5 0

Answer:

(3,-4)

Step-by-step explanation:

Illusion [34]2 years ago
4 0

Answer:

(-3,-4)

Step-by-step explanation:

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
2 years ago
Malin and Shawn begin with the same number, t. Malin subtracts 6 from t and then divides the result by 6. Shawn adds 7 to t and
uysha [10]
T

adds 6
t-6

divides by 6
(t-6)/6



shawn
7+t

divide by 7
(7+t)/7


theyare equal


(t-6)/6=(7+t)/7
times 42 both sides
7(t-6)=6(t+7)
distribute
7t-42=6t+42
minus 6t both sides
t-42=42
add 42 both sides
t=84
7 0
3 years ago
Read 2 more answers
A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients
aalyn [17]
You didn't include how many gallons each container of bleach has, so I'm just going assume one container has a gallon inside. if 5% of one gallon is active Ingredients, and there are 10 gallons, then that's 1,000%. (one gal = 100%. 100x10= 1,000) 5 x 10= 50, so 50% of 1,000% is active ingredients, which can be simplified to 5% anyway, so 5%
5 0
3 years ago
Find the coordinates of the three points on the graph of y = (1/2)x² -2x whose x-values are −2, 0, and 4.
MaRussiya [10]

Answer:

y = 6

y = 0

y = 0

Step-by-step explanation:

y=\frac{1}{2}x² -2x

When, x = -2

y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6

y = 6

When, x = 0

y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0

y = 0

When, x = 4

y=\frac{1}{2}\times (4)^2-2\times(4)\\\Rightarrow y=\frac{1}{2}16-8\\\Rightarrow y=8-8\\\Rightarrow y=0

y = 0

3 0
2 years ago
I'll give you 40 Points if you help me out with these math questions!!! #11th grade math..ughh
svet-max [94.6K]

Answer:

<h3>23\sqrt[1]{2}</h3>

Step-by-step explanation:

Simplify.

5 0
2 years ago
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