Consider the line y = x+8.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answer:

15m

Step-by-step explanation:

to answer this question, we need to use pythagorean theorem. this theory says:

a² + b² = c²

so, let’s work out b.

a² + b² = c²

20² + b² = 25²

20 x 20 = 400. 25 x 25 = 625.

400 + b² = 625.

we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.

625-400=225.

b² = 225

b = √225

b = 15 :)

hope this helps!!!!

Answer:

pie x r² x h is volume of cylinder

Answer:

11 hours

Step-by-step explanation:

$386.25 - (35 x $7.50) = $123.75 <--- overtime

$7.50 x 1.5 = $11.25

$123.75 / $11.25 = 11 hours overtime

Answer:

6x^2-10x-7

Step-by-step explanation:

(7x^2-4x-8) - (x^2+6x-1)

Distribute the minus sign

(7x^2-4x-8) - x^2-6x+1

Combine like terms

(7x^2-x^2 -4x-6x -8+1

6x^2-10x-7

Answer:

  a = -2/9

Step-by-step explanation:

Locate two points that cross grid intersections and compute the slope of the line between them. I would choose the vertex (4, 4) and the point (-5, 2) as being points where the graph crosses grid intersections.

The slope of the line between those points is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (2 -4)/(-5 -4) = -2/-9 = 2/9

We note that this representation of the absolute value function appears inverted (reflected across the x-axis). That means the coefficient 'a' will be negative. The slope of an unmodified absolute value function is -1 to the left of the vertex. It will only be 2/9 if the function has been multiplied by -2/9.

  a = -2/9

__

Additional comment

The vertex on the graph is at (4, 4), so the values of (h, k) are (4, 4).

Answer:

[tex]-\frac{2}{9}[/tex]

Step-by-step explanation:

Using the points (-5,2) and (4,4), the slope is given as 2/9. This is an absolute value graph, so from this information the slope is either 2/9 or -2/9. The graph faces downwards, so the slope is negative and therefore [tex]-\frac{2}{9}[/tex].

Answer:

3/2 cm/s

Step-by-step explanation:

speed = gradient of the line (slope)

To calculate the slope divide the change in y by the change in x:

(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s

Answer:

35.93

Step-by-step explanation:

If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624

We n=know one of these numbers is the 117 that was entered by mistake.  Subtract that out and replace it with the correct number, 17.  In essence we are modifying the number by (-117+17) or -100.

524 is the corrected value.  Divide that by 15 to find the ciorrect mean:

(524)/15 = 34.93

Answer:

494,314

Step-by-step explanation:Rounding to the nearest whole person, 494,314 people in 12 years.

The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997

We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.

Thereafter, it is a pyramid.

Now, formula for volume of a cuboid is;

V = lwh

V = 20 * 20 * 10

V = 4000 m³

Formula for volume of a pyramid is;

V = lwh/3

V = (20 * 20 * h)/3

V = 400h/3

Total volume is 4800 of the entire tent house. Thus;

4000 + (400h/3) = 4800

400h/3 = 800

h = (800 * 3)/400

h = 6 m

Now, from online calculation, the surface area of the pyramid excluding the base is;

TSA_p = 466.48 m²

Total surface area of cuboid excluding the top is;

S.A = 1200 m²

Total surface area of canvas = 1200 + 466.48 = 1666.48 m²

Since cost per sq.m is Rs. 15 per m², then;

Total cost = 15 * 1666.48

Total Cost = Rs. 24,997

Read more about Total Cost at; https://brainly.com/question/25109150

Answer:

x=12

Step-by-step explanation:

Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...

140=3x+4+8x+4

Start by combining like terms...

140=11x+8

Subtract 8 from both sides

132=11x

Divide both sides by 11

x=12

Answer:

A- not sure how to show u

B- 50% or 1/2

C-33% or 1/3

D- 40% or 2/5 im not sure

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

common denominator is 28

20/28 and 21/28 so 3/4 is greater

5/7 = 0.71

3/4 = 0.75

¾ is greater.

- Toodles!~

The slope of these lines is -17/7

Answer:

-16.666

Step-by-step explanation:

You can find the reciprocal by turning the intended fraction upside down.

[tex]\frac{-0.06}{1}[/tex] ⤭ [tex]\frac{1}{-0.06}[/tex] = [tex]\frac{100}{-6}[/tex] = [tex]\frac{50}{-3}[/tex] = -16.6666666667

Answer:

Step-by-step explanation:

Find OB:

Find BC:

Find DB:

Find BE:

Find DE:

Answer:

1100 dirham

Step-by-step explanation:

If one book is 55 dirham, then you multiply that by 20 to get the total cost.

(If you are supposed to go from dirham to something else, then I'm sorry I don't know)

Hope this helps!

Answer:

Step-by-step explanation:

You want the values of x and PS for the trapezoid in the figure, given that its perimeter is 228 units.

The trapezoid is shown as an isosceles trapezoid, so PS = RQ. The Triangle RTQ will be repeated on the left side, meaning there is a point T' below point S such that T'P = 4 and T'T = SR = 4x+1.

The perimeter is the sum of side lengths. Working clockwise from the upper left corner this is ...

  perimeter = (4x+1) +(2x -3) +4 +(4x +1) +4 +(2x -3) = 12x +4

Solving for x, we find ...

  12x +4 = 228

  12x = 224

  x = 224/12

  x = 18 2/3

And PS is ...

  PS = RQ = 2x -3 = 2(18 2/3) -3 = 37 1/3 -3

  PS = 34 1/3

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Answer:

x = 12 and y = -9

                                            Explanation:

Given:

2 x +3y = -3

3x + 5y = -9

make x the subject:

[tex]2 x +3y = -3[/tex]

[tex]2x = -3 - 3y[/tex]

[tex]x = \frac{-3 - 3y}{2}[/tex] _____equation 1

[tex]3x + 5y = -9[/tex]

[tex]3x = -9-5y[/tex]

[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2

solve them simultaneously:

[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]

[tex]2(-9-5y) = 3(-3-3y)[/tex]

[tex]-18-10y = -9 - 9y[/tex]

[tex]-10y + 9y = -9 + 18[/tex]

[tex]-y = 9[/tex]

[tex]y = -9[/tex]

now solve for x:

[tex]2 x +3y = -3[/tex]

[tex]2x + 3(-9) = -3[/tex]

[tex]2x -27 = -3[/tex]

[tex]2x = -3 + 27[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

coordinates where they both intersect is (12,-9) at one point so they have one solution

Answer:

x = 12

y = -9

The system has one solution as it has one point of intersection at (12, -9)

Step-by-step explanation:

Equation 1:   [tex]2x + 3y = -3[/tex]

Equation 2:   [tex]3x + 5y = -9[/tex]

Rewrite equation 1 to make [tex]x[/tex] the subject:

       [tex]2x + 3y = -3[/tex]

[tex]\implies 2x = -3 - 3y[/tex]

[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]

Substitute this into equation 2 and solve for [tex]y[/tex]:

       [tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]

[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]

[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]

[tex]\implies \dfrac12 y=-\dfrac92[/tex]

[tex]\implies y=-9[/tex]

Substitute y = -9 into one of the equations to find [tex]x[/tex]:

      [tex]2x + 3(-9) = -3[/tex]

[tex]\implies 2x - 27 = -3[/tex]

[tex]\implies 2x = 24[/tex]

[tex]\implies x=12[/tex]

Answer:

The answer is 228 bags left

Answer: angle 2= 145

angle 3= 145

angle 4=35

angle 5=35

angle 6=145

angle 7= 145

angle 8=35

Step-by-step explanation:

look over your angle theorems like the interior angles theorem and the supplementary angle theorem

Let's name the x-coordinates and y-coordinates

So, According to question

Abscicca of Point A = 2

Ordinate of Point B = -4

Point D = (-4,2)

Answer:

1/5x dogs were on a leash

Step-by-step explanation:

To work through this problem we have to keep in mind that x represents the number of dogs at the park.

1/5 of x dogs are leashed.

Therefore, we can conclude that the answer is 1/5x.

I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)

Answer:

A It cannot be determined from the information given.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

trust

[tex]\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}[/tex]

[tex]\\ \rm{:}\rightarrowtail p=12tan50[/tex]

[tex]\\ \rm{:}\rightarrowtail p=12(1.19)=14.3[/tex]

Now

Area=

[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2[/tex]

Answer:

[tex]y=e^x+3[/tex]

Step-by-step explanation:

By inspection, we can see that the curve crosses the y-axis at (0, 4)

Therefore, when x = 0, y = 4

Inputting x = 0 into the equations:

[tex]y=e^{x-3} \implies y=e^{-3}[/tex]

[tex]y=e^x+3 \implies y=e^0+3=1+3=4[/tex]

[tex]y=e^{x+3} \implies y=e^4[/tex]

[tex]y=e^{x-3}+3^3=e^{-3}+27[/tex]

Therefore, the only equation that gives y = 4 when x = 0 is [tex]y=e^x+3[/tex]

Check option B

[tex]\\ \rm\longmapsto y=e^x+3[/tex]

Put values

[tex]\\ \rm\longmapsto y=e^0+3=1+3=4[/tex]

Hence option B is correct

12x-10x=2x

2XAfter 2 minutes per mile

The residual value when the value of x = 4 is -1, the correct option is B.

Given

Melissa collected the data in the table.

The difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual.

The value of x= 4 then the value of residual is given by;

[tex]\rm Residual=Given - predicted \ value[/tex]

Here, given is 9 and the predicted value is 10 for x =4.

Substitute all the values in the formula;

[tex]\rm Residual=Given - predicted \ value\\\\\rm Residual=9-10\\\\\rm Residual=-1[/tex]

Hence, the residual value when the value of x = 4 is -1.

To know more about residual value click the link given below.

brainly.com/question/15996059

Answer:

B

Step-by-step explanation:

Answer:

except when x = 3

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-3}[/tex]

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x - 3 = 0 ⇒ x = 3 ← excluded value

f(x) is defined for all real numbers except when x = 3

Answer:

(-2,6)

Step-by-step explanation:

Since both of the equations are equal to y, we can set these equations equal to each other. This means that the new equation using substitution is -8x-10=-6x-6.

-8x=-6x+4

-2x=4

x=-2

This means that the x value is -2. Then, to find the y value, substitute -2 into the first equation (the second equation also works if you want to). So, the equation looks like y=-8(-2)-10. Solve this and it gives you y=6. Therefore, the final coordinate pair is (-2,6).