Find an equation of the line perpendicular to 3y=x+3 that passes through the point (5,8). Write the answer in slope-intercept form, y=mx+b, with all fractions written in the lowest terms.

The slope-point form is y + 1 = (1/4) (x +2)

The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)

From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)

Slope, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

               = [tex]\frac{0 --1}{2--2}[/tex]

               = 1/4

The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.

So here the slope-point form of the line is,

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

⇒ y + 1 = (1/4) (x +2)

For the function notation, we put y = f(x) simply and write it as,

f(x) = -1 + (1/4) (x +2)

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the first one is c

the second is B

Step-by-step explanation:

Answer: 2.95 I think

Step-by-step explanation:

we get that, the value of x for the given angles in the diagram is 10°.

We can see that:

∠  NMG + ∠ GML = ∠ NML

Substituting the values of the angles in the equation, we get that:

46 ° + 8 x - 5° = 11 x + 11 °

Combining the like terms:

8 x + 41° = 11 x + 11°

Taking variables on one side:

11 x - 8 x = 41° - 11°

Combining the like terms again:

3 x = 30°

Divide both sides by 3:

x = 30° / 3

x = 10°

Therefore, we get that, the value of x for the given angles in the diagram is 10°.

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Your question was incomplete. Please refer the content below:

∠ NMG = 46°, ∠ NML = 11x + 11, and ∠ GML = 8x-5. Find x.​

The days it would take to complete the building is 104 22/25 days.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/4.

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a non-integer in which the numerator is less than the denominator. An example of a mixed number is 3 1/2.

The first step is to determine the total height of the office bulding = height of each floor x total number of floors

15 x 10 2/5

15 x 52/5 = 780 /5 = 156

The next step is to determine the floors left to complete the office building :

156 - 24 9/10 = 131 1/10 feet

The last step is to divide the feet that can be built each day by the number of floors needed to complete the builfing :

1311/10 ÷ 1 1/4

1311 / 110 ÷ 5/4

1311 / 10 x 4/5 = 104 days 44/50

104 22/25 days

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Answer: x=38

Step-by-step explanation:

SOLVE FOR X

STEPS FOR SOLVING LINEAR EQUATION

0.50x+0.15(30)=23.5

Multiply 0.15 and 30 to get 4.5.

0.5x+4.5=23.5

Subtract 4.5 from both sides.

0.5x=23.5−4.5

Subtract 4.5 from 23.5 to get 19.

0.5x=19

Divide both sides by 0.5.

[tex]x=\frac{19}{0.5}[/tex]

Expand  [tex]\frac{19}{0.5}[/tex]   by multiplying both numerator and the denominator by 10.

[tex]x=\frac{190}{5}[/tex]

Divide 190 by 5 to get 38.

x=38

Answer: 0.48387

Step-by-step explanation:

Solution set = {9,11,13,15,17,19,21,23,25,27,29,31,33,35,37}

Sample Set = {8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38}

out of the 31 numbers, 15 are odd

15/31 = 0.48387 probability.

Answer:

in the heaven or hell hhhvgvcgdgghh

Modelling the situation, it is found the price of the ticket without the coupon is of $9 when all the six friends spent $ 42 to buy the tickets.

Total money spent by 6 friends on purchasing of the movie tickets = $ 42

So, the money spent for the purchase of 1 ticket will be calculated by dividing the $ 42 by 6.

So, cost of 1 ticket = 4 42 / 6 = $ 7

Coupon is of $2-off.

This means that with the coupon, $2 is subtracted from the ticket price.

So, price of ticket will be = $ 7 + $ 2 = $ 9.

Therefore, the price of the ticket without the coupons will be $ 9.

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Therefore, on dividing 6216 by 21 we get 126

Given 6216 / 21

21 ) 6216 ( 296

      42

(-)...................     (By subtracting these two numbers we get )

      201            

       189

(-)..................    

          126

          126

.(-)..........................

            0

Therefore 6216 / 21 = 126

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Answer:

  32 degrees

Step-by-step explanation:

You want the smallest angle of a triangle in which the other two angles are 20 degrees larger than the smallest, and 3 times the smallest.

The sum of angles is 180 degrees. The three angles are x, (x+20), and (3x). Their sum is ...

  x +(x +20) +3x = 180

Collecting terms gives ...

  5x +20 = 180

  5x = 160 . . . . . . subtract 20

  x = 32 . . . . . . divide by 5

The smallest angle is 32 degrees.

The given equation of the straight line is y +8x+10=0

We are required to find the equation of a straight line passing  through the point (-2, 6) and has a slope of -8.

An equation of a straight line can be easily found if the slope and any of the points is given

The general form of equation is given by

y-y1 = m (x-x1)

where x1,y1 is the coordinate of the known point

m is the slope of the line

It is given that the coordinate of the known point is (-2,6)

the slope is given to be -8

Thus using these values to form the equation,

y-6 = -8 (x--2)

y-6 = -8 (x+2)

y-6 = -8x-16

y+8x-6+16=0

y+8x+`10=0

Hence, The straight line equation is y +8x+10=0

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Answer:

7.18421051

Step-by-step explanation:

76 ÷ 6 = 12.6666667

91 ÷ 12.6666667 = 7.18421051

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The 4 on the right is 10 times larger than the 4 on the left! (=^.^=)

-5 and 7 are real and rational numbers also they are integers.

Numbers which can be written in the form of p/q are rational numbers where q must not be zero.

According to the given question we have to determine what kind of numbers are -5 and 7.

In a most simple way we can say that - 5 is an negative integer and 7 is a positive integer.

But -5 can be written as -5/1 which is a rational number also and 7 can also be written as 7/1 so we can also say they are integers al well as rational numbers.Lastly they are real numbers as they don't have any imaginary part 'i' in it.

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Answer:

1. 1, 9/4

2. 4^4

3. -0.0000000008723

4. -5100023*10^2, -6.6*10^(12)

Step-by-step explanation:

[tex]21^0 = 1;\ n^0\ always\ is\ 1.\\(\frac{2}{3})^{-2} = (\frac{3}{2})^2 = \frac{3^2}{2^2} = \frac{9}{4}; n^m\ is\ performed\ by\ doing\ n*n,\ m\ times.\\i.e.,\\ n^2=n*n;\\n^3=n*n*n;\\ n^4=n*n*n*n\\\\\frac{4^6}{4^2};\ original\\\\\frac{(4^2)^3}{4^2};\ (n^{mc}\ can\ be\ rewritten\ as\ (n^m)^c\\\\\frac{4^2}{4^2}*\frac{(4^2)^2}{1};\ split\ the\ fraction\ into\ two\ parts\ because\ of\ multiplication\ rules.\\\\1*4^4;\ \frac{n}{n}\ can\ be\ written\ as\ 1.\ \frac{n}{1}\ can\ be\ written\ as\ n.\\\\4^4[/tex]

Technically, [tex]4^4[/tex] is 256, but the answer is requested as a number with an exponent.

-8.723 * 10^-10 would be -0.0000000008723.

10^-10 = [tex]\frac{1}{10^{10}}[/tex], which would mean you must move your decimal left by the number of places indicated by the exponent.

[tex]-5.1*10^8-2.3*10^3 = x\\-51*10^7-23*10^2 = x\\10^7=10^{5+2}=10^5*10^2\\-5100000*10^2-23*10^2=x\\-5100023*10^2=x;\ combine\ like\ terms.\\-6*10^5 * 1.1*10^7 = x\\-6*1.1*10^5*10^7;\ rewrite\ for\ simplification.\\-6.6*10^{12}=x[/tex]

Answer: see explanation

Step-by-step explanation:

The 10 cm distance is measured perpendicularly to the chord, forming a right angle and bisecting the chord. Thus half of the chord, the segment from the center of the chord, and a radius to the end of the chord form a right triangle. The hypotenuse is 26 cm and one leg is 10 cm, so the other leg is given by the Pythagorean theorem: a^2 + 10^2 = 26^2, giving a = 24 cm. Since a is half the chord, the chord is 2a = 48 cm in length.

Hence, the length of a chord of a circle is [tex]48cm[/tex].

What is the circle?

A circle is defined as a two-dimensional figure, which is round in shape where all the points on the surface of the circle are equidistant from the center point is called “[tex]P[/tex]”.

Here given that,

A circle of radius [tex]26[/tex]cm if the chord is [tex]10[/tex]cm from the center of the circle.

So,

The  [tex]10[/tex]cm from the center of the circle is perpendicular of the chord and the hypotenuse is  [tex]26[/tex]cm .

As we know

[tex]H^2=B^2+P^2[/tex]    .......[tex](1)[/tex]

Substituting the values in the equation [tex](1)[/tex], we get

[tex](26)^2=(10)^2+B^2\\B^2=676-100\\B^2=576\\B=\sqrt{576}\\B=24cm[/tex]

Hence, the length of a chord of a circle is [tex]48cm[/tex].

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Using the together rate, it will take more 3.45 days to complete the work.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

The together rate is given by the sum of each separate rate.

For this problem, the rates are given as follows,

Ann,1/10 = 0.1

Ben,1/12 = 0.0833

Together,1/x

Hence the amount completed in 2 days is:

2 x (0.1 + 0.0833) = 0.3666

The amount it would take them to complete 100% of the project working together is found by the together rate as follows,

x = 60/11

x = 5.45 days.

The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is,

0.6334 x 5.45 = 3.45 days.

It will take more 3.45 days to complete the work.

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Answer:

3.82×10^7

Step-by-step explanation:

3.82e+7= 3.82×10^7

Answer:333R1 or as a mixed fraction 33 1/3. I believe this is right :]

Step-by-step explanation:

Answer:

64.75

Step-by-step explanation:

The total heights of men is m

so m/15 = 69.65 => m = 1044.75

The total heights of all students is s

so s/35 = 66.85 => s = 2339.75

so the total heights of women = 2339.75 - 1044.75 = 1295

The mean height of women = 1295/20 = 64.75

Answer:

64,765

Step-by-step explanation:

multiplicas porque dice que uno cuesta 315 entonces si hay 205 hay 64,765

The rent option will cost 120 more dollars than the outright cost of the computer .

The outright cost of the computer is $864.

The store also offers a rent to own option which will cost $41 per week for 24 weeks.

Therefore, the total cost for the rent option is as follows:

cost of the computer for rent option = 41 × 24

cost of the computer for rent option = 984 dollars

Therefore,

difference in cost = 984  - 864

difference in cost = 120 dollars

Therefore, the rent option will cost 120 more dollars than the outright cost of the computer.

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Using integrals, the volume generated by rotating the given region about the specified line is of 0.8π cubic units.

Rotating a function f(x) around a function g(x), the volume is given by the following integral:

[tex]V = \pi \int_{a}^{b}[f(x) - g(x)]^2 dx[/tex]

In which a and b are the intersection points of the curve.

For this problem, from the graph, we have that:

Hence:

[tex]V = \pi \int_{0}^{1}[2\sqrt[4]{x} - 2x]^2 dx[/tex]

[tex]V = \pi [\int_{0}^{1} 4\sqrt{x} - 8x\sqrt{x} + 4x^2 dx][/tex]

[tex]V = \pi \left[\frac{8}{3}x^{\frac{3}{2}} - \frac{16}{5}x^{\frac{5}{2}} + \frac{4}{3}x^3}\right]_{x=0}^{x=1}[/tex]

[tex]V = \pi \left[\frac{8}{3} - \frac{16}{5} + \frac{4}{3}\right][/tex]

[tex]V = \pi \left[4 - \frac{16}{5}\right][/tex]

[tex]V = \frac{4\pi}{5}[/tex]

V = 0.8π cubic units.

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Answer:

it is x=8 or x=-8

Step-by-step explanation:

|x|-7=1

  +7 +7

x=8 or x=-8

i'm doing absolute value in math rn so this should be right!! have a good day

Answer:

Your answer is x=0

The set of ordered pairs that represents a function is the third option.

{ (4, 1), (-6, 6), (5, -2), (-4, 1)}

For a relation that maps elements x (inputs) into elements y (outputs), we will have ordered pairs of the form (x, y) that define the relation.

Now, a relation is only a function if input are only mapped to only one output.

For example, if you look at the first set of ordered pairs, you can see that the input x = -4 appears twice with two different outputs, then this relation does not represent a function.

For the second set the same thing happens for the input x = -8, and for the last set the same happens for the input x = -8

The only set where each input appears only once is the third one:

{ (4, 1), (-6, 6), (5, -2), (-4, 1)}

This relation represents a function, so this is the correct option.

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Answer:

38363

Step-by-step explanation:

Answer: 12 different even 2 digit positive numbers can be witten

Step-by-step explanation:

the even numbers are 44, 24, 54, 84, 22, 42, 52, 82, 28, 48, 58, 88

The expression which has the same value as the given expression; 4² - 6 × 2 among the answer choices is; Choice C; 10 - 3 x 2 + 4¹.

According to the task content; the given expression whose equivalent is to be determined is;

Given;

4² -6 ×2.

It follows from PEMDAS that the exponent should be evaluated and then the multiplication.

Hence, the value of the expression is; 16 - 8

= 8.

For answer choice C, which is correct, the evaluation is as follows;

10 - 3 × 2 + 4¹

= 10 -6 + 4

= 8.

Ultimately, choice C has the same value as the given expression.

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