Which of the following is a foci of x^2/16-y^2/4=1

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 3 35

6

step 4 answer = 35

6

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

Answer:

Step-by-step explanation: example:

Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?

Result: The principal was $500.

STEP 1: Convert interest rate of 2% per 6 months into rate per year.

STEP 2: Convert 9 months

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $15, i = 4% and t = 0.75 years, so

Answer:

You divide 62/12=5.166

Answer:

per inch 0.90 cents hhhhhhjjkolllll

3/5×(-3)/10 + 1/15 - 3/5×1/5 =  -7/30 ≅  -0.2333333

I hope this helps!

Answer:

Espero te sirva saludos

Answer:

The car price decreased by $2,268.

The price of the car now is $33,732.

Step-by-step explanation:

Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.

Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.

Answer:

Step-by-step explanation:

6.3 : 100 = x : 36000

x = (36000 * 6.3)/100 = $2268 (decrease in price)

Price of new model: 36000 - 2268 = $33732

Answer:

-2 and -8

Step-by-step explanation:

-2 + (-8) = -10

-2 * -8 = 16

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

Answer:

A

Step-by-step explanation:

Answer:

✔ Because the product is always a non-terminating, non-repeating decimal.

Step-by-step explanation:

E 2021

Answer:

y = -1/2x - 3 1/2    exact fractions

y = -0.5x - 3.5     exact decimals

Step-by-step explanation:

From the two points indicated on the graph

rise goes from -4  to -5 = -1

run goes from 1 to 3 = 2

m = slope = rise/run = -1/2

slope intercept form is

y = mx+b

to find "b" use either point

using (1, -4)

-4 = (-1/2)(1) + b

-4 = -1/2 + b

Add 1/2 to both sides

-3 1/2 = b

The equation is

y = -1/2x - 3 1/2     exact fractions

y = -0.5x - 3.5     exact decimals

Work Shown:

m = (y2-y1)/(x2-x1)

m = (7-2)/(11-3)

m = 5/8

m = 0.625

m = 0.6

Answer:

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

Answer:

V = 8796.45 [tex]cm^3[/tex]

Step-by-step explanation:

Given data :

A lamp shade is in the form of a frustum of a cone.

The upper diameter of the cone, r = 10 cm

The lower diameter of the cone, R = 20 cm

The height of the frustum, h = 12 cm

Therefore, the volume of the frustum of cone is given by :

[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]

Putting the values, we get

[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]

[tex]$V=4 \pi[400 + 200+100]$[/tex]

[tex]$V=4 \pi[700]$[/tex]

V = 8796.45 [tex]cm^3[/tex]

Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]g(x) = |x-4|+6[/tex]

Step-by-step explanation:

shift 4 to the right --> x-4

shift 6 up --> +6

Answer:

1/8, 0.13,1/2, 7/8 it already is in order

Step-by-step explanation:

Answer:

Step-by-step explanation: 1/8, 0.13,1/2, 7/8 it already is in order

Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

Answer:

1) -3 x 3=-9

2) -3x-3=9

3)20x5=100

4) 21x-3=-63

5) -2x3x-4=24

note: negative x positive= negative

negative x negative=positive

positive x positive= positive

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

9km

Step-by-step explanation:

30-(13+8)=9km

I hope you understand

Answer:

Step-by-step explanation:

Graph given for the function has three segments therefore, its a piecewise function.

For a segment lying between (2, ∞)

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

                            = 2

y-intercept of the line = -2

Therefore, equation of the line will be,

y = 2x - 2

Second segment is a straight line,

Equation of the line will be,

y = 4

Third segment is a straight line.

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                            = [tex]\frac{1}{1}[/tex]

                            = 1

Equation of the line will be,

y = x + b

Since, this line passes through a point (6, 7)

7 = 6 + b

b = 1

Therefore, equation of the third segment will be,

y = x + 1

So the piecewise function will be,

f(x) = 2x - 2   For x < 2

        4     For 2≤ x ≤ 5

        x + 1   For x > 5

Answer:

6in x 4in = 24in

and for the second one

6in x 2in= 12in

Answer:

326.06 in^3

Step-by-step explanation:

Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h

Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4

Volume of the cylinder = [tex]\pi[/tex] · 16 · 4

Volume of the cylinder = [tex]\pi[/tex] · 64

Volume of the cylinder = 201.06 in^3

Volume of the composite = length · width · height

Volume of the composite = 5 · 5 · 5

Volume of the composite = 125 in^3

201.06 + 125 = 326.06 in^3

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

[tex]y = \frac{28}{5} [/tex]

Answer:

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

Step-by-step explanation:

4/5 = y/7

⇒ Cross multiply:

4 × 7 = 5 × y

⇒ Multiply 4 × 7 & 5 × y:

[tex]28=5y[/tex]

⇒ Solve the formed equation:

[tex]28=5y[/tex]

⇒ Move all the terms containing y to the right side and the other values to the left side:

⇒ Add '-5y' to each side of the equation:

[tex]28+-5y=5y+-5y[/tex]

⇒ Combine like terms: [tex]5y+-5y=0[/tex]

[tex]28+-5y=0[/tex]

⇒ Add '-28' to each side of the equation:

[tex]28+-28+-5y=0+-28[/tex]

⇒ Combine like terms: [tex]28+-28=0[/tex]

[tex]0+-5y=0+-28[/tex]

[tex]-5y=0+-28[/tex]

⇒ Combine like terms: [tex]0+-28=-28[/tex]

[tex]-5y=-28[/tex]

⇒ Divide each side by '-5':

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

hope this helps :)

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