Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print

Answer:

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]

Step-by-step explanation:

Calculate the slope m of BC using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )

[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute A (3, 8 ) into the partial equation

8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]

y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line

The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.

The equation of the straight line is represented by

y = mx+c

where m is the slope , and c is the intercept on y axis.

The equation of the line BC for points B(7,5), and C(2,3) is

y- y' = m(x-x')

m = 2/5

and c =

y-5 = (2/5)x - (14/5)

y = (2/5)x+(11/5)

The slope of the line perpendicular rot this line is given by

as the product of two perpendicular lines should be -1

m = -5/2

y = (-5/2)x +c

8 = (-15/2) + c

8 +(15/2) = 0

31/2 = c

Therefore the equation for a line passing through point A and perpendicular to BC is

2y = -5x +31

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Answer:

B) 40 feet

Step-by-step explanation:

Essentially, there are two similar right triangles in the given problem.

base_L = Base [larger triangle] = 60 ft

base_S = Base [smaller triangle] = 6 ft

x = leg (larger triangle)

y = leg (smaller triangle) = 4 ft

Using the given proportion to solve for the value of x:

[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]

[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]

6x = 240

Divide both sides by 6:

6x/6 = 240/6

x = 40

Answer:

4/8

Step-by-step explanation:

because

Answer:

its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners

Step-by-step explanation:

Answer:

=−12x−156

Step-by-step explanation:

=(12)(x+−8+−2x+−5)

=(12)(x)+(12)(−8)+(12)(−2x)+(12)(−5)

=12x−96−24x−60

=−12x−156

Step-by-step explanation:

= 12(x - 8 -2x - 5)

= 12(-x - 13)

= -12x - 156

please give me a brainliest answer

Answer:

100 cm2

Step-by-step explanation:

The volume of the triangular prism will be 132 cubic centimeters. The correct option is A.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid. The volume of the rectangular prism is calculated by the product of the triangular base and the height of the prism.

Given that the dimensions of the base of the prism are height = 4cm and base = 6 cm and the length of the prism will be 11 cm.

The volume of the prism will be calculated as:-

V= ( 1/ 2 ) b x h x L

V = 0.5 x 4 x 6 x 11

V = 132 cubic centimeter

Therefore, the volume of the triangular prism will be 132 cubic centimeters. The correct option is A.

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Answer:

X = 53°

y = 143°

Step-by-step explanation:

Hope it helps!!!!!!

Answer:

i

Step-by-step explanation:

you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks

Answer:

h−1(x)=−5x/3+5/6

Step-by-step explanation:

your answer is the second one

Answer:

The answer is the third one

Step-by-step explanation:

I did the test

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

Answer:

1. 8. 2. 8. 3.  7/5. 4. 2/3.

Step-by-step explanation:

As you can see you just need to cross multiplication and use distirbitive property

Please give brainiest

Answer:

14(120)t

Step-by-step explanation:

hopes this helps

Answer: 192

Step-by-step explanation:

To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.

Answer:

192 in³

Step-by-step explanation:

The volume of a cube is represented by raising one side length to the 3rd power.

4 x 4 x 4 = 64

64 is the volume of the first box.

The second box is 3 times the value of the third box, so the equation for the third box is:

64 x 3 = 192

It would be $0.47 monthly interest and $5.63 yearly interest

Answer:

75.4

Step-by-step explanation:

Answer: 75.4 yd

Step-by-step explanation:

Using the formulas

C = 2 π r

d = 2 r

Solving for C

C = π d = π x 24 = 75.39822 yd

75.39822 rounded up is 75.4 so the answer is 75.4 yd.

The length of the shadow, h, to the nearest tenth of a foot is 86.6feet

To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA

The required setup will give a right-angled triangle.

If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet

The angle of elevation is 60 degrees

The length of the shadow will be the hypotenuse of the triangle as shown:

According to the trigonometry identity:

[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]

Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet

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Answer:

I'm pretty sure 70 liters

Step-by-step explanation:

because 60÷10=6

so 70÷10=7

Answer:

Using vector concepts, it is found that:

1. The horizontal component of the vector is 5.

2. The magnitude is of 14.87.

3. The vertical component of the vector is 2.

-------------

A vector (x,y) has x as horizontal component and y as vertical component.

The magnitude is  

Given two points, a vector is formed by the subtraction of the endpoint by the start point.

-------------

Item 1:

The horizontal component of the start is -3.

The horizontal component of the end is 2.

Thus, the horizontal component of the vector is  

-------------

Item 2:

Starts at (1,9), ends at (6,-5), thus, the coordinates are:

The magnitude is:

The magnitude is of 14.87.

-------------

Item 3:

The vertical component of the start is -10.

The vertical component of the end is -8.

Thus, the vertical component of the vector is

Step-by-step explanation:

Answer:

sup everybody how's it been for yall?

Step-by-step explanation:

this is the last few hours of my free brainly premium so I just wanted to say if you love brainly you'll love brainly premium

Answer: Its b  

Step-by-step explanalson

becaues x always equals 7 in a factor

:)

Answer:

it is the second answer.

The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.

The given ratio is 120:36.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Equivalent ratios are the ratios that are the same when we compare them.

120:36

= 20:6

= 10:3

The ratio equivalent to the ratio is 10:3. Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following ratios is equivalent to the ratio of 120 to 36?

20 To 6, 12 To 3, 18 To 60, 84 To 1

Answer:

yrdfcghftfc 6

Step-by-step explanation:

jhfbvnhjyffvb

Answer:

I am doiiiiiiinnnnggg just wait

9514 1404 393

Answer:

  A. CCW 180° about the origin

Step-by-step explanation:

Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...

Answer:

A & C

Step-by-step explanation:

The values of the variable "x" which satisfy the equation (x – 7)² = 36 are x = 13 and x = 1.

To find the values of x in the expression (x - 7)² = 36, we need to solve for x using the given equation.

We Expand the square of the binomial: (x - 7)² as x² - 14x + 49,

Now, We Set up the equation as : x² - 14x + 49 = 36,

Next, We Subtract 36 from both sides: x² - 14x + 13 = 0,

Factoring the quadratic equation: (x - 13)(x - 1) = 0,

At last, Applying the zero-product property: x - 13 = 0 or x - 1 = 0,

Solving for x, We get : x = 13 or x = 1.

Therefore, The required values of "x" are x = 13 and x = 1.

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The given question is incomplete, the complete question is

Given the equation (x – 7)² = 36, Find the values of x.

9514 1404 393

Answer:

  x = 1/4(y -4)² +7

Step-by-step explanation:

A parabola can have the equation ...

  x = 1/(4p)(y -k)² +h

where the vertex is (h, k), and the vertex-to-focus distance is p.

The vertex is halfway between the focus and directrix, so has coordinates ...

  ((8, 4) +(6, 4))/2 = (7, 4)

The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...

  x = 1/4(y -4)² +7

Answer:

It has length, but not width and depth

Answer:

267 (please double check this!!!)

Step-by-step explanation:

Separate the block into sections that you can find the volume for easily and figure out the measurements for each

the two smaller blocks on top will be symmetrical

the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing

so 13*3*5 = 195

The two smaller blocks is just adding a *2 once you figure out the one

it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3

3*4*3 = 36

you have another one of those blocks so it'd be 36*2

then you add them both 72+195 = 267