One half the square of a number is less than a second number. The sum of 3 and the opposite of the second number is greater than the square of the first number. Which graph represents the solution set?​

9514 1404 393

Answer:

  (x -2)² +(y -4)² = 25

Step-by-step explanation:

The area of a square is half the product of the diagonals, so that product is 50·2 = 100. This is the square of the diameter, so the square of the radius is 100/4 = 25. Then the circle equation is ...

  (x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r

  (x -2)² +(y -4)² = 25

_____

The attached figure has A, B, C, D located on grid points for convenience in creating the figure. These points seem to differ slightly from the supplied diagram. The dimensions are the same, even if the figure is slightly rotated.

Answer:

(x -2)² +(y -4)² = 25

Step-by-step explanation:

last option on the drop-down menu

Answer: I believe it’s 15

Step-by-step explanation:

Answer:

12×5+45-36=60+9=69 is your answer

Answer:

12×5=60+45=105-36=69

Answer:

The cost can be 15,000 and anything below that

Answer:

5+-2

Step-by-step explanation:

it

Answer:

1. 7

Step-by-step explanation:

Answer:

x = 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

Answer:

53.9999 months!

Step-by-step explanation:

:D

Answer:

The answer is z = 7.

Step-by-step explanation:

1) Divide both sides by 25.

[tex]z - 2 = \frac{125}{25} [/tex]

2) Simplify 125/25 to 5.

[tex]z - 2 = 5[/tex]

3) Add 2 to both sides.

[tex]z = 5 + 2[/tex]

4) Simplify 5 + 2 to 7.

[tex]z = 7[/tex]

Thus, the answer is z = 7.

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

Answer:

I think the calculation answer will be 9,999,811,112

Answer:c

Step-by-step explanation: By graph, it is clear that the closest time for lunch is 1:40pm as she spent more time in hiking after a constant time.

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

Answer:

You know that the Pythagorean Theorem is:

a²+b²=c²

,

Where:

a

is the length of one of the legs,

b

is the length of the other leg, and

c

is the length of the hypotenuse.

You know the lengths of the two legs are

7 and 11

, so we'll say that

a is 7 , and b is 11

Knowing that, we can plug those into our equation and simplify like so:

7²+11²=c²

49+121=c²

170=c²

√170=c

c=13.0384

Answer:

Step-by-step explanation:

Use Pythagorean:

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

Answer:

Yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

2/5 kilogram od soil = 1/3 of the container

So 2/5 + 2/5+ 1/5 = 1 kilo gram of soil

so 1 kilo will fit into the container

Answer:

The number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

Step-by-step explanation:

It is important to note that:

A quarter is worth 25 cents = 0.25q

A nickel is worth 5 cents = 0.05n

George has only Quarters and nickels in his piggy bank.

Let the number of

Quarters = q

Nickels = n

He has a total of 90 coins.

Hence,

q + n = 90.... Equation 1

q = 90 - n

The value of the coins is $16.10.

Hence,

0.25q + 0.05n = 16.10....Equation 2

We substitute 90 - n for q in Equation 2

0.25(90 - n) + 0.05n = 16.10

22.5 - 0.25n + 0.05n = 16.10

Collect like terms

- 0.25n + 0.05n = 16.10 - 22.5

-0.2n = - 6.4

n = -6.4/-0.2

n = 32 nickels

Solving for q

q = 90 - n

q = 90 - 32

q = 58 quarters

Therefore, the number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

Answer:

the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Divide -10 by 2 and you'll come away with -5

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

Answer: x= 5

Step-by-step explanation: subtract 2x from both sides eliminating 2x.

4x-64=-44 add 64 to both sides eliminating -64

4x=20  divide by 4  

20/4 = 5

4x/4 = x

x= 5

Hope this helps :)

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx

Complete question :

a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?

Answer:

$40000

Step-by-step explanation:

Offer :

For every $120 spent ; $3 is donated

In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;

$120 = $3

$x = $1000

Cross multiply

$(120 * 1000) = $3 * x

$120000 = $3x

x = 120000 / 3

x = 40,000

Hence, in other to raise $1000 ; $40000 would have to be spent by customers.

whats the question then?

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Answer:

I believe the answer is C

Step-by-step explanation: