What is the distance between (1, 9) and (1, -4)? Use the distance formula.

D=(x2-x1)2+(y2-y1)2

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

[tex]Difference = 22 - 13 = 9[/tex]

[tex]Difference = 37 - 22 = 15[/tex]

[tex]Difference = 58 - 37 = 21[/tex]

[tex]Difference = 85 - 58 = 27[/tex]

The resulting difference are: 9 || 15 || 21 ||  27

Next; Calculate the difference between the difference of values of y

[tex]Difference = 15 - 9 = 6[/tex]

[tex]Difference = 21 - 15 = 6[/tex]

[tex]Difference = 27 - 21 = 6[/tex]

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

Answer:

4f^2 +4

Step-by-step explanation:

4 + 4f^2 + 6f - 6f

Combine like terms

4f^2 +4

Answer:

21

Step-by-step explanation:

Tom'age: a

Jean'age: b

3+a=2(b+3)

a-2+b-2=26

or

a =2b+3

2b+3-2+b-2=26

or

a=2b+3

3b=27

or

a=21

b=9

Thus the required present age of Tom and Jean is 21 years and 9 years.

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

Let the present age of Tom and Jean is x and y.

Three years from now Tom will be twice as old as Jean.
x + 3 = 2 ( y + 3 )
x = 2y + 6 - 3
x = 2y + 3  - - - - - - - - -(1)

two years ago the sum of their ages was 26.
x - 2 + y - 2 = 26
x + y = 26 + 4
x + y = 30 - - - - - - -(2)

From equation 1 put x in equation 2.
2y + 3 + y = 30
3y = 30 - 3
3y = 27
y = 9

Put y in equation 2
x + 9 = 30
x = 30 - 9
x = 21

Thus the required present age of Tom and Jean is 21 years and 9 years.

Learn more about arithmetic here:

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Answer:

y=0

Step-by-step explanation:

The equation for the slope is

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

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

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

Answer:

[tex]c=-2[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x) = -2c + cx - x^2[/tex]

And that:

[tex]\displaystyle f^{-1} (5) = -1[/tex]

And we want to determine the value of c.

Recall that by definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]

Simplify:

[tex]5 = -2c - c - (1)[/tex]

Combine like terms:

[tex]6 = -3c[/tex]

And divide. Hence:

[tex]c = -2[/tex]

In conclusion, the value of c is -2.

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

(a).

[tex]0.2 = {5}^{ \frac{1}{3} } [/tex]

(b).

[tex]125 = {5}^{3} [/tex]

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

Answer:

18.00p maybe...............

Answer:

£23.96

Step-by-step explanation:

Area to be painted:

3.6 m * 8.3 m = 29.88 m^2

The area to be painted is 29.88 m^2.

A tin of paint covers 8 m^2. We divide to find the number of tins needed.

29.88/8 = 3.735

Since full tins must be bought, the smallest number of tins needed is 4.

Now we find the price of 4 tins. 1 tin costs £5.99, so 4 tins cost:

4 * £5.99 = £23.96

Answer

19 X 3= 57

10 X 5= 10

57 + 10=

Therefore your answer is $67

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

Answer:

Three more than twice a number is equal to four less than the number. find the number.

Answer:

It is 3^6

Step-by-step explanation:

[tex]{ \tt{ {9}^{7} \div {3}^{8} }} \\ = { \tt{( {3}^{2}) {}^{7} \div {3}^{8} }} \\ = { \tt{ {3}^{14} \div {3}^{8} }} \\ = { \tt{ {3}^{(14 - 8)} }} \\ = { \tt{ {3}^{6} }}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

Answer:

5 ratio 4 is

35 ratio 28

they both multiply by 7.....

Answer:

[tex]\large \boxed{x=28}[/tex]

Step-by-step explanation:

[tex]5:4=35:x[/tex]

Ratios can be expressed as fractions.

[tex]5/4=35/x[/tex]

Cross multiply.

[tex]5 \times x = 4 \times 35[/tex]

[tex]5x=140[/tex]

Divide both sides by 5.

[tex](5x)/5=140/5[/tex]

[tex]x=28[/tex]

Answer:

2nd option is the correct one

log|x|-f(x)+k

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

O False

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation Given...}}\\\\\frac{1}{4}(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{\frac{1}{4} * 12 = 3} \atop {\frac{1}{4}*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\neq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1/8 = 2³ * 2⁻⁶

Step-by-step explanation:

2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8

Answer:  Choice A

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex]

============================================================

Explanation:

Recall that [tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex] and [tex]\cot(x) = \frac{\cos(x)}{\sin(x)}[/tex]. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

[tex]\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is identical to [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]

Therefore, [tex]\tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is the same as [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

Answer:

52,322 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft.  ---------->>> then convert to gal.

                             6.2288 gal

vol = 8400cu.ft. x ----------------- =  52,322 gal

                                1 cu.ft.

Answer:

This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.

Step-by-step explanation:

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

Answer:

Hey there!

Angles in a triangle add to 180 degrees.

24+134+2x=180

158+2x=180

2x=22

x=11

Let me know if this helps :)

Explanation:

Point F is located at (2,0)

Multiply each of those coordinates by the scale factor 2.5

This means point F(2,0) moves to F ' (5,0) after applying the dilation, where the dilation is centered at the origin.

Answer:

Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)

Q11i: z = 8y

Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)

Step-by-step explanation:

Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.

Answer:

[tex]\boxed{16 units}[/tex]

Step-by-step explanation:

Hey there!

Well since all the sides are congruent and there are 8 sides we can make the following expression,

P = 2*8

P = 16

Hope this helps :)

Answer:

16

Step-by-step explanation:

The sides of this figure are equal to each other .

the permiter is the sum of the sides

The figure has 8 sides.

● P = 8 × 2

● P = 16

Answer:

d. appears most

Step-by-step explanation:

Mode is the number that appears the most often in a set of data