What is the slope of this line? the equation for a line that passes through the points (5,-3) and (-10,15)?

Answer:

The Equation of the line is y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Multiplication of slope of two perpendicular lines is = -1

first line is  y= [tex]\frac{1}{3}[/tex]x +6

slope of this line is [tex]\frac{1}{3}[/tex]

So the slope of the second line is : [tex]\frac{-1}{3}[/tex]

Equation of line would be written by using :

(y - y1) = m(x - x1)

here the line passing through (-4,5)

put the values in equation

y -5 =[tex]\frac{-1}{3}[/tex][x - (-4)]

3y - 15 = -x -4

3y = -x +11

y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

So The Equation of the line is y = [tex]\frac{-1}{3}[/tex]x + [tex]\frac{11}{3}[/tex]

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Answer:

40.9 %

Step-by-step explanation:

8.8   is   .4 hours above the mean this is  .4/1.77 = .226 standard deviations above the mean

 Using z-score table this corresponds to ~ .5910    (59.10%)

    this percentage is LESS than 8.8 hours

      the percentage ABOVE this is 40.9%

(Not asked, but this is  40.9 (40 ) = ~ 16 of the 40 mechanics sampled)

Answer:

11 is best answer for it ....,..........

Answer:

10

Step-by-step explanation:

The answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is:

Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles.

Please refer to the attached picture.

We have a rectangular shape as shown in the picture.

Total number of square units = 40

Each row has 10 units cube.

Each cube = 40/10

Thus, the answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.

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To find the point of intersection of two lines, we can use substitution to find the x and y coordinates.

We're given:

Use substitution to find x:

[tex]-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2[/tex]

Use substitution to find y:

[tex]y=x-4\\y=2-4\\y=-2[/tex]

The point of intersection is (2,-2).

Answer:

  145 square inches

Step-by-step explanation:

The surface area of a square pyramid can be found using the formula ...

  A = s(s +2h) . . . . . where s is the base side length, and h is the slant height

__

Using this formula with s=5 inches and h=12 inches, we find the area to be ...

  A = (5 in)(5 in +2(12 in)) = (5 in)(29 in) = 145 in²

The area of the pyramid is 145 square inches.

_____

Additional comment

This formula comes from the sum of the areas of the square base (s²) and the four triangular faces (4 × 1/2sh). That sum is ...

  A = s² +2sh = s(s +2h)

Answer:

30%

Step-by-step explanation:

The unemployment rate is 30%

Answer:

 1.5

Explanation:

Given that:

While solving this problem, the above following is not required to use.

[tex]\rightarrow \sf log_b ([b^3])^{1/2}[/tex]

apply log rule

[tex]\rightarrow \sf \dfrac{1}{2}\log _b\left(b^3\right)[/tex]

[tex]\boxed{\sf \log _b\left(b^3\right)=3}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}(3)[/tex]

distribute

[tex]\rightarrow \sf \dfrac{3}{2} \quad or \quad 1.5[/tex]

Answer:

24000

Step-by-step explanation:

6/5×20000

=24000

Answer:

[tex]\rm slope: -\dfrac{7}{6}[/tex]

[tex]\rm Distance: 2\sqrt{85} \ units[/tex]

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y }{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points are: (6, -6), (-6, 8)

Insert the values:

[tex]\sf \rightarrow slope: \dfrac{8-(-6)}{-6-6}[/tex]

[tex]\sf \rightarrow slope: \dfrac{8+ 6}{-12}[/tex]

[tex]\sf \rightarrow slope: \dfrac{14}{-12}[/tex]

[tex]\sf \rightarrow slope: -\dfrac{7}{6}[/tex]

[tex]\sf Distance \ between \ points : \sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Using the formula,

[tex]\sf d = \sqrt{(-6 - 6)^2 + (8-(-6))^2}[/tex]

[tex]\sf d = \sqrt{(-12)^2 + (14)^2}[/tex]

[tex]\sf d = \sqrt{144 +196}[/tex]

[tex]\sf d = \sqrt{340}[/tex]

[tex]\sf d = \sqrt{85 \times 4}[/tex]

[tex]\sf d = 2\sqrt{85}[/tex]

Hence, the distance is 2√85 units.

Hii!

___________________________________________________________

[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

Slope =

Distance =

[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the slope

[tex]\twoheadrightarrow\sf \cfrac{y2-y1}{x2-x1}[/tex]

[tex]\bullet[/tex] Stickin the values

[tex]\twoheadrightarrow\sf \cfrac{8-(-6)}{-6-6}[/tex]

[tex]\bullet[/tex] Simplify

[tex]\twoheadrightarrow\sf \cfrac{8+6}{-12}[/tex]

[tex]\bullet[/tex] Finish simplifying

[tex]\twoheadrightarrow\sf \cfrac{14}{-12}[/tex]

[tex]\bullet[/tex] Reduce the fraction

[tex]\twoheadrightarrow\sf \cfrac{7}{-6}[/tex]

[tex]\bullet[/tex] Work out the distance

[tex]\twoheadrightarrow\sf \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf \sqrt{(-6-6)^2+(8-(-6)^2}[/tex]

[tex]\bullet[/tex] Simplify the radical expression

[tex]\twoheadrightarrow\sf \sqrt{(-12)^2+14^2}\\\\\twoheadrightarrow\sf \sqrt{144+169} \\\\\twoheadrightarrow\sf \sqrt{340}\\\\\twoheadrightarrow\sf \sqrt{85\cdot4} \quad (simplifying\,the\,surd)[/tex]

[tex]\ddagger[/tex] [tex]\boldsymbol{DISTANCE=2\sqrt{85} \,Units}[/tex] [tex]\ddagger[/tex]

--

Hope that this helped! Best wishes.

--

The margin of error will be 20 and 10 respectively.

The margin of error for Robert will be:

= 1.96 × 50/✓25

= 1.96 × (50/5)

= 1.96 × 10

= 20 approximately

The margin of error for Val will be:

= 1.96 × 50/✓100

= 1.96 × 50/10

= 1.96 × 5

= 10 approximately

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Answer:

It's A. (2, 0) and (0, -4)

Answer:

Las dimensiones del rectángulo son:

ancho = 16 cm

largo = 20 cm

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

perímetro = 2(largo + ancho)

25% más grande = 125% = 125/100 = 1.25

Planteamiento:

2(a+b) = 72

b = 1.25a

a = longitud del ancho

b = longitud del largo

Desarrollo:

de la primer ecuación del planteamiento:

a+b = 72/2

a+b = 36

b = 36 - a        Ec. 3

Igualando la segunda ecuación del planteamiento con la Ec. 3:

1.25a = 36 - a

1.25a + a = 36

2.25 a = 36

a = 36/2.25

a = 16

de la Ec. 3:

b = 36 - a

b = 36 - 16

b = 20

Comprobación:

de la primera ecuación del planteamiento:

2(a+b) = 72

2(16+20) = 72

2*36 = 72

Answer:

if angle 2 is congruent to 6 them the slope of line o and q is equal

that is line o is parallel to q

The approximate length of the side EF will be 1 unit.

The complete figure is attached below.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is given below.

The length of EF will be

EF = CF – CE

Then the value of CF will be

CF = BC × cos 30

CF = 2 × 0.866

CF = 1.732

Then the value of CE will be

CE = BC × cos 42

CE = 1 × 0.743

CE = 0.743

Then we have

EF = 1.732 – 0.743

EF = 0.989 ≈ 1

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Answer:

33 elements

Step-by-step explanation:

Set A has 59 elements. Set A and Set B share 26 elements.

This means that 26 out of the 59 elements in Set A are also in set B.

Therefore, to find the number of elements not in Set B, you need to subtract the common elements from the total amount of elements in Set A.

59 (total in Set A) - 26 (common in Set A) = 33 (unshared elements).

Answer:slope is 0.4

Step-by-step explanation:

y2-y1 divided by x2-x1

2-4/0-5=0.4

Answer: 10

Step-by-step explanation:

The slope of the given line is 10, and since parallel lines have equivalent slopes, the slope of a line parallel to the given line is also 10

Applying the negative exponent, it is found that the equivalent expression to [tex]3^{-3}[/tex] is [tex]\frac{1}{27}[/tex].

When we have a negative exponent, we use a fraction, with the term with the exponent going to the denominator, as follows:

[tex]a^{-b} = \frac{1}{a^b}[/tex]

Hence, in this problem, the equivalent expression is:

[tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex]

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The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

900+50x=450+75x

To solve;

900 - 450 = -50x +75x

450 = 25x

x = 450 /25

x = 18

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

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Answer:

5/8

Step-by-step explanation:

5/8=0.6.25

0.625> all the other numbers

Answer:

first 1*3+1-3*4+1

then it is in fraction

the answer is -5

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the regular octagon is 8√58 units.

Perimeter is the sum of the length of the sides used to make the given figure.

For a regular octagon, the length of each side of the octagon is the same. Therefore, the length of a single side of the octagon is,

Length of the side of the octagon = √[(-4-3)² + (0 + 3)²] = √58

Now, the perimeter of the octagon is 8 times of√58.

Perimeter = 8 ×√58 = 8√58

Hence, the perimeter of the regular octagon is 8√58 units.

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The median of the distribution is 4.

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

The median is the number at the center of the data set.

Arranging the numbers in the histogram in ascending order is: 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10

1/2 x 22 = 11th number  4

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Answer:792

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

8

Step-by-step explanation:

We need to sort your set into Least-to-Greatest order.

4, 5, 5, 6, 10, 11, 12, 13

That is your set in least to greatest order.

Which 2 numbers are in the middle?

They are 6 and 10.

Now, we find the mean of 6 and 10.

(6+10)/2 = 8

8 is your median

our system of inequalities is:

x + y ≤ 13.

x*$15 + y*$10 ≥ $180.

The graph can be seen at the end.

Here we have the variables:

We know that she can only work 13 hours per week, then we have:

x + y ≤ 13.

And she wants to earn at least $180 per week, then:

x*$15 + y*$10 ≥ $180.

So our system of inequalities is:

x + y ≤ 13.

x*$15 + y*$10 ≥ $180.

The graph of the system can be seen below. The solution set is defined by the zone where the two shaded regions intersect (where we also should add the restrictions x >0, y > 0).

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