A little more help???

Answer:

[tex]y =\dfrac{12}{5}x + 22[/tex]

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

[tex]\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

          [tex]= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}[/tex]

[tex]\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}[/tex]

                                                   [tex]\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}[/tex]

Equation of the required line: y = mx + b

       [tex]y =\dfrac{12}{5}x+b[/tex]

The line passes through (-5 , 10). Substitute in the above equaiton,

         [tex]10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\[/tex]

 10 + 12 = b

        b   = 22

Equation of the line:

  [tex]y =\dfrac{12}{5}x + 22[/tex]

Answer:

(More than an hour) Three times as many

(Less than an hour) Two times as many

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3x14=42 it dosen't go over 42

Answer: 14

Step-by-step explanation:

3,6,9,12,15,18,21,24,27,30,33,36,39,42

3x14=42

Answer:

10/20 or 1/2

Step-by-step explanation:

Heres a picture to explain:

Answer:

79cm

Step-by-step explanation:

Area of a circle = πr^2

Plug in r: π(5)^2 = 79cm

Answer: 15 and 26

Step-by-step explanation:

Answer:

720 m²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its 5 surfaces.

Area of triangle= ½ ×base ×height

Area of front face

= ½(6)(8)

= 24 m²

Area of back face= 24 m²

Area of rectangle= length ×breadth

Area of base

= 8(28)

= 224 m²

Area of right surface

= 10(28)

= 280 m²

Area of left surface

= 6(28)

= 168 m²

Total surface area

= 24 +24 +224 +280 +168

= 720 m²

Step-by-step explanation:

Given expression,

[tex]\\ \longrightarrow \qquad \sf \frac{3ac-4c²}{ 5ab} \\ \\ [/tex]

Now, when a = 3, b = -1 and c = -2 we get,

[tex]\\ \longrightarrow \qquad \sf \frac{3.3.( - 2)-4. {( - 2)}^{2} }{ 5.3.( - 1)} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf \frac{3.( - 6)-4. 4 }{ 5.( - 3)} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 18-16 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 34 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ 34 }{ 15} \\ \\ [/tex]

Answer:

84 square inches

Step-by-step explanation:

Answer:

add 20 subtract 20 multiply by 3 divide by 3 add 1

Answer:

We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by

Step-by-step explanation:

Answer: YES

Step-by-step explanation: It is

Answer:

4/5 of game

Step-by-step explanation:

Rate  =  3/5 g / (3/4 hr) =   12/15 = 4/5  game per hour

[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]

Answer:

10.64

Step-by-step explanation:

Using linear function concepts, it is found that:

A linear function is modeled by:

y = mx + b

In which:

For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:

mF = 1/4 = 0.25 miles per minute.

The constant speed of Fast Freddy is of 0.25 miles per minute.

For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:

mS = 2/16 = 1/8 = 0.125 miles per minute.

The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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Answer:

1/4 1/8 and Freddy was faster

Step-by-step explanation:

Answer: 24.86miles/hr

Step-by-step explanation: Divide the speed by 1.609 to convert

Answer:

If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65

Answer:

x = 13, 5

Step-by-step explanation:

x² - 18x + 65 = 0

step 1: multiply (1) and (65) together

step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.

step 3: since there isn't a number in front of x² you could:

(x - 13) (x - 5)

x - 13 = 0           x - 5 = 0

   +13  +13            +5   +5

x = 13                      x = 5

or

(x² - 13x) (-5x + 65)

x(x - 13) -5 (x - 13)

(x - 13) (x - 5)

x - 13 = 0      x - 5 = 0

  +13   +13       +5   +5

x = 13, 5

I hope this helps!

Answer:

121/49 a^8 b^2

Step-by-step explanation:

the answer is the last option

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

Answer:

The nth term = 3n + 4.

Step-by-step explanation:

The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.

So this breaks down simply to,

a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4

Answer: A

Step-by-step explanation:

This seems to be the only applicable answer

Using proportions, it is found that if the theater owner asked 100 people,  47 would prefer Drama.

A proportion is a fraction of a total amount.

From the table, out of the 7 + 18 + 7 + 6 = 38 people surveyed, 18 prefered drama. Hence the proportion is given by:

p = 18/38 = 0.47.

Out of 100 people, the amount would be given by:

A = 0.47 x 100 = 47.

More can be learned about proportions at https://brainly.com/question/24372153

Hope this is the right answer .

Answer: 70

Step-by-step explanation:

you would do 8C4

If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

To find the Ways can 8 pieces of art in the front window be arranged in the display window.

Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.

here we have

n= 8

r= 4

substituting the values,

[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

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Answer:

B

Step-by-step explanation:

[tex]\dfrac{5}{2x} + \dfrac{4}{3y}=\dfrac{15y+8x}{6xy}[/tex]

Answer:

x = 14

Step-by-step explanation:

We have alternate interior angles that are congruent.

[tex]5x + 5 = 4x + 19[/tex]

[tex]x = 14[/tex]

Answer:

2nd one on the top row

last one on the bottom row

(left to right)

Step-by-step explanation:

the negative slopes are the lines that go down towards the right side

so that would be the second one on the top row and the last one on the bottow row