Graph the inequality on the axes below.

(Can someone please help)

The equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

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They are both in the x-axis, and the center is (0,0), which means that the equation is:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

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Directrices at [tex]x = \pm 2[/tex] means that:

[tex]\frac{a^2}{c} = 2[/tex]

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Foci at [tex]x = \pm 4[/tex] means that:

[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]

Thus:

[tex]a^2 = 2c = 2(4) = 8[/tex]

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For b, we have that:

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

[tex]8 + b^2 = 16[/tex]

[tex]b^2 = 8[/tex]

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Thus, since a and b have been found, the equation of the hyperbola is:

[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]

A similar problem is given at https://brainly.com/question/20409089

Answer:

angle 1 = 100 degrees

angle 2 = 53 degrees

Step-by-step explanation:

diagonals of a rhombus bisect angles so angles 2 and 3 are both 53

angle 1 can be found by adding 37 and 53 and deducting that sum from 180

Answer:

12

Step-by-step explanation:

Since 48/4=12

But this time all negative

negative*negative=positve

SO it is 12 still

Answer:

12

Step-by-step explanation:

negative divided by a negative makes a positive, -48/(-4) is 12

Answer:

down below

Step-by-step explanation:

set up two equations:

x + 4 = 6                    x + 4 = -6

solve both:

x = 2                          x = -10

plug it back in to the original equation:

|2 + 4| = 6.                 |-10 + 4| = -6

|6| = 6.                       |-6| = -6

6 = 6.                         since absolute value is always positive:

correct.                     |6| = -6

                                6 does not = -6

write both of these down if you need to show your work

Answer:

Pretty sure it's 21 degrees.

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!!

Hello!

The answer is 21°

Since these are vertical angles, they are equal.

Have a great day!

Answer:

x = -55

Step-by-step explanation:

Subtract 7 on both sides first to get to this equation, x/5 = -11.  Since there is a fraction on the left side, you have to multiply 5 on both sides to get your x-value which is -55.

Answer:

14 years

Step-by-step explanation:

£280 is 7% of 4000 so £4000 euro more would be 4000/280 = 14

Answer:

$200. had to edit, read the question wrong originally

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Work Shown:

If you save 64%, then you still have to pay the remaining 100% - 64% = 36%

x = original price in dollars

sale price = 36% of x = 0.36*x = 72

0.36*x = 72

x = 72/0.36

x = 200

The original price is $200

discount = 64% of 200 = 0.64*200 = 128

You save $128

The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.

Answer:

c = 58x

Step-by-step explanation:

A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.

Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.

Thus, the total cost, c, is

c = 58x

Answer:

283.19

Step-by-step explanation:

Find the number in the hundredth place  9  and look one place to the right for the rounding digit  2 . Round up if this number is greater than or equal to  5

and round down if it is less than  5 .

Answer:

283.19

Step-by-step explanation:

So as you should already know, the 2 is the hundreds, 8 is the tenths, and 3 is the ones, but you may not know the ones after it. The number after the little dot (decimal) is a 1 and is called the tenths and the one after is the hundredths and then thousandths and so on. You want to know the hundredths so just keep all of the numbers until you get to the number that is 2 places after the decimal and look at the last number and if its below 5, keep the hundredths the same but if its 5 or over make the hundredths 1 higher. for example 3 stays the same because the next number is below 5. This is how you do rounding with decimals! Please give Brainliest if this helps!

Answer:

Prime numbers between 70 and 80 are 71,73,79

71+73+79=223

50 =2x5x5=2x5^2

The equation is 250+15x is that's what your asking

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

20

Step-by-step explanation:

I got it correct on khan

Answer:

x = 2 and y = 1

Step-by-step explanation:

Given equations are :

2x-y=3 ...(1)

3x+y=7 ...(2)

Add equation (1) and (2) as follows :

2x-y + 3x+y = 3 + 7

2x + 3x = 10

5x = 10

x = 2

Put the value of x in equation (1)

2(2)-y=3

4-y = 3

y = 4-3

y = 1

Hence, the solution of the given equations are (2,1).

Answer:

Step-by-step explanation:

Answer:

D. y-4=-1(x-1)

Step-by-step explanation:

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

Answer:

-7x +18

Step-by-step explanation:

ok this the work

4(2x-7) and 5(3x-2) distribute both  

8x−28   15x−10  

-15x +28 -15x +28     8x-15x is -7x  -10+28 is 18

-7x+18

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.

[tex]p(x) = 10x - (8x+40) = 10x - 8x - 40[/tex]

We can then substitute 100 for x and solve.

[tex]p(100) = 10(100) - 8(100) - 40[/tex]

Answer:

-3 and 17

Step-by-step explanation:

Let the number be = x

x - 7 = -10

x = -10 + 7

x = -3

OR

7 - x = -10

- x = -10 - 7

- x = -17

x = -17/-1

x = 17

The two possible numbers are -3 and 17

Answer:

Step-by-step explanation:

J

Answer:

90*0.3= 27 gallons of water are used outdoors each day

two-base angle are equal

let take a base angle as x

Answer:

The area is 260 sqaure units.

Step-by-step explanation:

Finding the area of a parallelogram is like finding the area of a rectangle. The base times the height equals the area. As a result, you would multiply 20 by 13 to get 260.

Answer:

she will be back at 7:30pm

Step-by-step explanation:

From the question we are given

Time that Shasta leaves for her best friend place = 5:00pm

If she is to come back after 2 and a half hour, hence we will have to add 2hr 3ominutes to the time she left to know the time she will be back as shown:

She will be back at 5:00 + 2hr 30min = 7:30pm

Hence she will be back at 7:30pm