Consider the optimization problem minimize fo(x1,2) subject to 2x1 2 1 i+3221 Make a sketch of the feasible set. For each of the following objective functions, give the optimal set and the optimal value. (a) fo(x1,T2) = z1 + x2 . (b) fo(x1,x2)=-zi (c) fo(x1,x2-x1. (d) fo(x1,x2)=max(띠,T2).

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]

[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]

[tex] \sqrt{28} [/tex]

Answer:

[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]

Pythagorean theorems can be applied to solve this problem.

Pythagorean theorem:

[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]

⇒ c²-b²=a²

8²-6²=28²

Solve.

PEMDAS stands for:

[tex]\sf{8^2-6^2}[/tex]

Solve by exponents from left to right numbers.

[tex]\sf{8^2=8*8=64}[/tex]

[tex]\sf{6^2=36}[/tex]

Then, subtract.

[tex]\sf{64-36=\boxed{\sf{28}}[/tex]

a=√28

Therefore, the correct answer is a=√28.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Answer:

y = 9

Step-by-step explanation:

The line x = -7 is a vertical line, so the perpendicular line will be horizontal.

Horizontal lines have a slope of 0.

Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation

y = mx + b

9 = 0(4) + b

9 = b

Plug this and the slope into the equation:

y = mx + b

y = 0x + b

y = 9

So, y = 9 is the equation

14, I think its 14. let me know if I'm right

Answer:

X=10

Step-by-step explanation:

3x=30

3(10)=30

30=30

30+42=72

I hope this helps!

Answer:

D. x=10; angle measure is 30°

Step-by-step explanation:

hope this helps

Answer:

4 m/s

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5

Answer:

2 1/8 + 3 7/8 = 6

A. 6

Step-by-step explanation:

2 + 3 = 5

1/8 + 7/8 = 8/8

8/8 = 1 whole

5 + 1 = 6

HOPE THIS HELPS!!!!!

Answer:

x = 50.6 cm

Step-by-step explanation:

ΔMAB ≈ ΔNMP

set up a proportion:  MA / MN = MB / MP

MA = 46.2 - 14

MA = 32.2

32.2 / 46.2 = x / 72.6

cross-multiply:

46.2x = 2337.72

x = 50.6

Answer:

It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.

(Hope this helps! Btw, I am the first to answer. Brainliest pls!)

Circumference = Pi x diameter

Circumference = 3.14 x 3 feet

Circumference = 9.42 feet.

The answer is B. 9.42 feet

Answer:

D. m≥12

Step-by-step explanation:

You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.

Answer:

The answer is D.

Step-by-step explanation:

~Hoped this helped~

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

Answer:

is that just 1/2 lol i think but if u want add me on disc Andreww#6506

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y= (x-3)^2 -4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the biggest number gets eaten by the alligator

Answer:

Quarters = 10

Dimes = 13

Step-by-step explanation:

Given that :

Quarters = $0.25

Dimes = $0.10

Total value =. $3.80

Let :

Quarters = a

Dimes = a + 3 (3 more dimes Than quarters)

0.25a + 0.10(a + 3) = 3.80

0.25a + 0.10a + 0.3 = 3.80

0.35a = 3.80 - 0.3

0.35a = 3.5

a = 3.5 / 0.35

a = 10

Quarters = a = 10

Dimes = a + 3 = 10 + 3 = 13

9514 1404 393

Answer:

  23.37 cm

Step-by-step explanation:

1 inch is 2.54 cm, so 9.2 inches is ...

  (9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm

Answer:

decimal form: 4.52

fraction: 4 13/25

Step-by-step explanation:

Answer:

Decimal 4.52

Fraction 4  13/25

Answer:

117

(-3) × (-39) = 117

Step-by-step explanation:

hope it helps!

Answer:

16

Step-by-step explanation:

180 is a straight line.

x is among that line so you must subtract the angles you know from 180.

180-54-38= 16

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

Answer:

When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:

(K*a, K*b)

In this case, we can find the original coordinates of the endpoints of the original segment.

Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.

The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).

The first endpoint is (6, 9) and (12, 12)

Now we apply a dilation with a scale factor K = 2/3.

then we get the points:

((2/3)*6, (2/3)*9) = (4, 6)

and the other point is:

((2/3)*12, (2/3)*12) = (8, 8)

Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)

The segment can be seen in the graph below.

Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

Answer:

5cm

Step-by-step explanation:

V = (B*H)

90 = (18 * H)

H = 90 / 18

Answer:

-3

Step-by-step explanation:

Answer:

y=3/7x+10

Step-by-step explanation:

y-y1=m(x-x1)

y-7=3/7(x-(-7))

y-7=3/7(x+7)

y=3/7x+21/7+7

y=3/7x+3+7

y=3/7x+10