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The slope of the line passing through the points (7,5) and (21, 15) is 5/7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and tl
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Answer:

D.(-3,-7)

Step-by-step explanation:

5x+8=-5x-22

5x+8+5x=-22

10x+8=-22

10x=-22-8

10x=-30

x=-30/10

x=-3

y=5x+8         x=-3

y=5(-3)+8

y=-7

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

Answer:

4811?

Step-by-step explanation:

sorry if incorrect

Answer:

240

Step-by-step explanation:

m + n + p+ q = perimeter

60 + 60 + 60 + 60 = 240

I'm pretty sure that's how you solve it, I'm so sorry if it's wrong

The perimeter of the given quadrilateral will be 21 units.

A quadrilateral is a shape made up of the four sides having the sum of the angles 360 degrees.

The quadrilateral MNPQ has four sides 6,6,6 and 3.

The perimeter is calculated as the sum of the all the sides:-

Perimeter = 6  +  6  +  6  +  3 = 21 units

Therefore the perimeter of the given quadrilateral will be 21 units.

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Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Answer:

2743.851 adults aged 57 through 85 years used at least one prescription medication.

Step-by-step explanation:

I did this on a calculator so yeah...

Answer:

55.1

Step-by-step explanation:

delta math

Answer:

24.1cm

Step-by-step explanation:

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Step-by-step explanation:

because the total sum of each percent is 90%

and it must be 100% as it is a full circle

Answer:

V = 12π in³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Radius r = 2 in

Height h = 3 in

Step 2: Find Volume

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

Answer:

32

Step-by-step explanation:

24/(3/4)

Answer:

32 meals

Step-by-step explanation:

24 / (3/4)

Multiply by reciprocal:

24 x (4/3) = 32

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

The value for [tex]i^{17}[/tex] is i.

An imaginary number is denoted by i.

The value of i is √-1.

We have,

i = √-1

i² = -1

i³ = (i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

We see that,

If the power is an even number we get 1 and -1.

If the power is an odd number we get i and -i.

Thus,

i¹⁷ = i

Learn more about imaginary numbers here:

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Answer:

Yes

Step-by-step explanation:

20% of 90= 72

then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3

since the answer is a positive number that means yes.

Answer:

58

Step-by-step explanation:

4 × 5 to the power of 2 + 3 × 5 + 3

Answer:

Option B

118

Step-by-step explanation:

[tex]4{x}^{2} + 3x + 3[/tex]

By putting the value of x = 5

[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]

= 4 × 25 + 15 + 3

= 100 + 18

= 118 (Ans)

Answer:

169,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is exponential growth of form

y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time

y=130000(1.03^10)

y=174709

Answer:

10

Step-by-step explanation:

20 minutes = 1/3 hours

let the distance be S

recall that time taken = distance/velocity

so, the time taken when travelling at 30 mph is S/30

and the time taken when travelling at 40 mph is S/40

therefore

S/30 - S/40 = 1/3

multiply through by 120

4S - 3S = 40

S = 40

distance = 40 miles

Step-by-step explanation:

Umm I can try. c:

I'll see....

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

Hope this helps!

Answer:

142

Step-by-step explanation:

142 I believe on study island

Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.  

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.  

Answer:

(b) 42m

Step-by-step explanation:

Perimeter of a rectangle ⇒ P=2(l+w)

Which means P=2·(12+9)

Which equals 42

Answer:

25

Step-by-step explanation:

Answer:25%

Step-by-step explanation:

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.  

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

Answer:

24 I guess

Step-by-step explanation:

There are 2 sides in a coin so 12 x 2 = 24

Answer:

173.25

173.25+7=

$180.25

Step-by-step explanation:

Answer:

$185.38 i beileve. I took the discount out then added the tax