Graph the hyperbola with equation quantity x plus one squared divided by nine minus the quantity of y plus four squared divided by twenty five = 1.

Answer:

The Radius of the base, r, and the altitude h

Step-by-step explanation:

Surface area of a right cone

[tex]a=\pi r\sqrt{h^{2}+r^{2} }[/tex]

R= Radius

H=Radius

Answer:

The radius of the base, r, and the slant height s.

Step-by-step explanation:

pf

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

Step-by-step explanation:

let ama's age be x

and ama's sister be y

according to question

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

x-4=(y-4)/2 ---------(2)

after solving equation (1) and (2)

we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years

Answer:

solution,

In a parallelogram, diagonal bisects angle into two equal parts. So,

<TVU=<TVW

or, 5x=50

or, X=50/5

X=10

Hope this helps..

Good luck on your assignment.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

WVT angle = UTV angle (alternative angles)

[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

Answer:

The total amount that all three friends have = $258

Step-by-step explanation:

Three friends: let their initial money be  Ami's money =A, Jan = B, Toy = C

Toy started with $36 and ended with same amount

C = $36

After Ami gives, She is left with= A-x

Jan becomes= 2B

Toy becomes= 2C = 2×36 = 72

After Jan gives, Jan is left with = 2B-y

Ami now has = 2(A-x)

Toy now has = 2(72) = 144

After Toy gives, Toy is left with= 144-z

Ami now has = 2(2)(A-x) = 4(A-x)

Jan now has = 2(2B-y)

Since Toy is left with $36 at the end:

36 = 144-z

z = 144-36 = 108

So Toy spent $108 to double his two other friend's money

Both Amy  and Jan had $108 in total when Toy had $144

Difference between the deductions across = $108

The total amount that all three friends have = 144+108

The total amount that all three friends have= $258

Answer:

The answer is 252

Step-by-step explanation:

Step-by-step explanation:

6/9 divide top and bottom by 3 to get 2/3

Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.

12/8 = 3/2  (divide by 4 top and bottom)

8/12 = 2/3  (divide by 4 top and bottom)  This is a solution

10/12 = 5/6 (divide by 2 top and bottom)

8/13 (cannot be reduced)

Therefore the second fraction (8/12) forms a proportion with 6/9.

Answer:

8/12

Step-by-step explanation:

divide through by 2 6/9 = 2/3

also,

divide through by 4

8/12 = 2/3

6/9 = 8/12

Answer:

process of elimination

Step-by-step explanation:

Answer:

The 1st step in problem solving is defining your variables.

Step-by-step explanation:

When you read the word problem, you have to make sure you know which variables are which, or else you will get lost. If you don't label your variables, then you will not be able to answer the question properly.

Answer: D

Step-by-step explanation:

All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)

Answer:

Y = 1/2x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = 1/2x +b

Substitute the point into the equation

0 = 1/2 (-4) +b

0 = -2+b

b=2

Y = 1/2x+2

Answer:

there were 22 folders originally

Michaela originally has 27 folders. Hence option D) is correct.

Michaela has three times  as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

In mathematics it deals with numbers of operations according to the statements.

Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 =  x+5+8

2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27

Thus, Michaela originally has 27 folders.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

-1

Step-by-step explanation:

Move the +16 onto the other side. We now have 52 = -52x. Divide each side by 54 to get x = -1.

Answer:

-1=x

Step-by-step explanation:

68=-52x+16

Minus sixteen on both sides

52=-52x

Divide -52 on both sides which will equal to -1

-1=x

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

Answer:

what the variable is equal to

Step-by-step explanation:

for example, in a equation like 1x = 2x/2 the solution could be x=1

Answer:

∠AOB = 101°

Step-by-step explanation:

Given:

AD is the angle bisector of ∠A

BE is the angle bisector of ∠B.

∠A = 125°

∠B = 33°

Find:

∠AOB

Computation:

∠BAO = 125° / 2 = 62.5°

∠ABO = 33°/2 = 16.5°

So,

∠AOB + ∠BAO + ∠ABO = 180°

∠AOB + 62.5° + 16.5° = 180°

∠AOB = 101°

Answer:

Step-by-step explanation:

y = 5900 - x

Simple interest = Prt

Simple interest on $x = x * 0.11 * 1 = 0.11x

Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1

                                                   = (5900 - x) * 0.07

                                                   = 5900 * 0.07 - x * 0.07

                                                   = 413 - 0.07x

Return from tow investment =  $ 537

0.11x + 413 - 0.07x = 537  

Add the like terms

0.04x + 413 = 537

Subtract 413 for both sides

0.04x = 537 - 413

0.04x = 124

x = 124 /0.04

x = 3100

y = 5900 -  3100 = 2800

x = $ 3100

y = $ 2800  

Answer:

The answer is option D.

All real numbers including zero

Hope this helps

Answer:

all non zero real numbers is the answer to the question.

this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers

Answer:

The answer is 3968

63 squared= 3969

3969-1 = 3968

Answer:

They did pay at the same rate

Step-by-step explanation:

when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.

Answer:

Yes

Step-by-step explanation:

We can use ratios for this:

Diego:

47:3 tickets

Divide both sides by 3 so you get the price of one ticket

15.67: 1 ticket

Andre:

141: 9 tickets

Divide both sides by 9 so you get the price of one ticket

15.67: 1 ticket

Answer:

Vertex: (0, 12)

Direction: Upwards

Step-by-step explanation:

Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

Given that E = 760V

To find: W = ?

Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

Answer:

Option b.

Step-by-step explanation:

If the starting value a, the growth factor b, and the growth rate r, then

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

On comparing (1) and (2), we get

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

On comparing (1) and (2), we get

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.

Answer:

no solutions

Step-by-step explanation:

x-y=6

y=x-4

Subtract x from each side

-x+y = x-4-x

-x+y = -4

Add this to the first equation

x-y=6

-x+y = -4

---------------

0x + 0y = 2

0=2

This is never true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

x - y = 6

y = x - 4

Solve for x in the first equation.

x = 6 + y

Put x as 6 + y in the second equation and solve.

y = (6 + y) - 4

y - y = 6 - 4

0 = -2

There are no solutions.

Answer:

1/12

Step-by-step explanation:

P( coin = heads) = number of heads / total = 1/2

P( cube = 5) = number of 5's / total =1/6

P( heads, 5) =1/2 * 1/6 = 1/12

The coin toss and the number cube roll are independent events.

This is because the result of the coin toss does

not affect the result of the number cube roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.

Since there is only one way to roll 5 on a number cube, there

is 1 favorable outcome but six possible outcomes.

So the probability of rolling a 5 is 1/6.

Now multiply.

So we have 1/2 · 1/6 which is 1/12.

Answer: a = 0.3

Step-by-step explanation:

First, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-(a-0.3)

Then, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-a+0.3

Then, combine like terms

10a-2.4=a+0.3

Then, add(2.4)

10a=a+2.7

Then, subtract(a)

9a=2.7

Then, divide(9)

a = 0.3

Hope it helps <3

Answer:

a = 0.3.

Step-by-step explanation:

(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)

5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3

5.3a + 4.7a - 2a + a =  0.3 + 0.8 + 1.6

9a = 2.7

a = 0.3.

Answer:

Yes

Step-by-step explanation:

x>2

The greatest possible value cannot be stated as it is not mentioned whether it is a right angled triangle, which is hypotenuse, or which is the smallest/largest side.

Answer:

49/6 < x < 41/2.

Step-by-step explanation:

In any triangle, each side is shorter than the sum of two other sides.

It gives three independent inequality

45 < 4x + (2x-4),   (1)

4x < 45 + (2x-4),   (2)

2x-4 < 45 + 4x.     (3)

From (1),  6x > 45 + 4 = 49    --->  x > 49/6

From (2),  2x < 45 - 4 = 41    --->  x < 4/2

From (3),  2x > -4 - 45 = -49  --->  x > -49/2

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

[tex]b = 3 + 2h[/tex]

[tex]Area = 22[/tex]

Required

Find the length of the base

The area of a triangle is calculated as thus;

[tex]Area = \frac{1}{2} * b * h[/tex]

Substitute 22 for Area and 3 + 2h for b

The formula becomes

[tex]22 = \frac{1}{2} * (3 + 2h) * h[/tex]

Multiply both sides by 2

[tex]2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h[/tex]

[tex]44 = (3 + 2h) * h[/tex]

Open the bracket

[tex]44 = 3 * h + 2h * h[/tex]

[tex]44 = 3h + 2h^2[/tex]

Subtract 44 from both sides

[tex]44 - 44 = 3h + 2h^2 - 44[/tex]

[tex]0 = 3h + 2h^2 - 44[/tex]

Rearrange

[tex]0 = 2h^2 +3h - 44[/tex]

[tex]2h^2 +3h - 44 = 0[/tex]

At this point, we have a quadratic equation; which is solved as follows:

[tex]2h^2 +3h - 44 = 0[/tex]

[tex]2h^2 + 11h - 8h - 44 = 0[/tex]

[tex]h(2h + 11) - 4(2h + 11) = 0[/tex]

[tex](h - 4)(2h + 11) = 0[/tex]

Split the above

[tex](h - 4) = 0\ or\ (2h + 11) = 0[/tex]

[tex]h - 4 = 0\ or\ 2h + 11 = 0[/tex]

Solve the above linear equations separately

[tex]h - 4 = 0[/tex]

Add 4 to both sides

[tex]h - 4 + 4 = 0 + 4[/tex]

[tex]h = 0 + 4[/tex]

[tex]h = 4[/tex] ---- First value of h

[tex]2h + 11 = 0[/tex]

Subtract 11 from both sides

[tex]2h + 11 - 11 = 0 - 11[/tex]

[tex]2h = 0 - 11[/tex]

[tex]2h = -11[/tex]

Divide both sides by 2

[tex]\frac{2h}{2} = -\frac{11}{2}[/tex]

[tex]h = -\frac{11}{2}[/tex] ------ Second value of h

Since height can be negative, we'll discard [tex]h = -\frac{11}{2}[/tex]

Hence, the usable value of height is [tex]h = 4[/tex]

Recall that [tex]b = 3 + 2h[/tex]

Substitute 4 for h

[tex]b = 3 + 2(4)[/tex]

[tex]b = 3 + 8[/tex]

[tex]b = 11[/tex]

Hence, the length of the base is 11 meters

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Corresponding angles : If a transversal line intersect two parallel lines, then it makes 4 angles at each intersection point. The angles with same relative position at each intersection is know as corresponding angles.

From the clear figure it is clear that the pair of corresponding angles are:

[tex]\angle 1\text{ and }\angle 5[/tex]

[tex]\angle 2\text{ and }\angle 6[/tex]

[tex]\angle 3\text{ and }\angle 7[/tex]

[tex]\angle 4\text{ and }\angle 8[/tex]

Therefore, the correct option is A.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

the division expression equivalent to  4 1/3  /  (-5/6) is

13/3  /  (-5/6)

The solution is A

4 1/3 is 13/3

4x3= 12 + 1 = 13 which is 13/3

Answer:

≈ 5.8

Step-by-step explanation:

Step 1: Round the fractions

29 1/5 = 146/5 = 29.2 ≈ 29

4 6/7 = 34/7 = 4.85714 ≈ 5

Step 2: Divide

29/5 = 5.8

The answer is under

Answer:

[tex]$k=\frac{7}{4} $[/tex]

Step-by-step explanation:

[tex]2x^2+px-15=0[/tex]

Once [tex]x=-5[/tex]

[tex]2(-5)^2+p(-5)-15=0[/tex]

[tex]2(25)-5p-15=0[/tex]

[tex]50-5p-15=0[/tex]

[tex]35-5p=0[/tex]

[tex]p=7[/tex]

Quadratic Equation:

[tex]2x^2+7x-15=0[/tex]

[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]

[tex]\Delta=b^2-4ac[/tex]

[tex]\Delta=7^2-4(7)k[/tex]

[tex]\Delta=49-28k[/tex]

The quadratic equation having two equal roots means that the discriminant is equal to zero.

[tex]0=49-28k[/tex]

[tex]-49=-28k[/tex]

[tex]$k=\frac{49}{28} $[/tex]

[tex]$k=\frac{7}{4} $[/tex]