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Leno4ka [110]
3 years ago
10

What is the slope 9,8 and 7,-8

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

y2-y1/x2-x1

Step-by-step explanation:

7-9/-8-8

-2/-16

1/8

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If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found
Goshia [24]
(24ba^2)/(8ab^2)=3a/b=width
5 0
3 years ago
A vial contains 20mL of medicine.If each dose is 1/3 of the vial,how many mL is each dose.Express your answer as a decimal
Genrish500 [490]

Answer:

each dose = 6.7 mL ( to 1 decimal place)

Step-by-step explanation:

Total volume of vial = 20mL

each dose of vial = 1/3 of the total volume

let us express this fraction as a real number:

1/3 of 20 = 1/3 × 20

Since we are to express the answer as a decimal, let us convert the fraction to decimal:

1/3 = 0.3333

∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL

since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p

∴ each dose = 6.7 mL

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3 years ago
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
3 years ago
The interior angles of a triangle have measures k°, 27°, and 10°.<br><br> What is the value of k?
NikAS [45]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~

Assuming that the sum of all the angles must equal 180°

180 - (27+10) = k

180 - 37 = k

k = 143°

6 0
3 years ago
Which of the following capital letters is a reflection image of itself across a horizontal line?​
anygoal [31]

Answer:

H is the reflection of itself in the horizontal line

8 0
3 years ago
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