Determine the equation of the line perpendicular to y = 1 - 1/4x and passing through the point (-3,5)

please I need help!!!!​

Answer:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Step-by-step explanation:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }\)

\(=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}\)

\(\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }\)

\(=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }\)

\(=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }\)

\(=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Remark:

You can simplify moreover if you want to.

Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer:

1/3 or 2/6

Step-by-step explanation:

6/6 is a whole. If you subtract 1/6 from 6/6, you get 5/6. Then, subtract 3/6 from 5/6. You get 2/6 remaining for the result. 2/6 simplified is 1/3.

Answer:

2/6

Step-by-step explanation:

We Know

She will use 1/6 of the poster for the title and 3/6 of the poster for a diagram of her experiment.

1/6 + 3/6 = 4/6

So, 4/6 of her poster has been used.

The rest of the poster will be used for the results of her experiment

How much of the poster will Katy use for the results?

We Take

6/6 - 4/6 = 2/6

So, 2/6 of her poster will be use for the result.

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

Answer:

the answer is c square root 52

Step-by-step explanation:

just got a 100

The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

The distance formula is used to measure the distance between the two points on a coordinate plane.

Let the two coordinate  point on a coordinate plane is (\(x_1,y_1\)) and (\(x_2,y_2\)). Thus, the distance between these two can be given as,

\(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).

Here, each grid line on the coordinate plane represents 1 mile.

Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,

\(d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}\)

Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

Given that,

A circle has a circumference of 12 units and it has an arc of length 8/5 units.

We have to find what is the central angle of the arc in degree.

We know that,

Circumference =12 units

Arc length =8/5= 1.6 units

If the central angle is "θ" then the length of the arc is given by

Arc length= θ/360°×circumference

Substituting values,

1.6=θ/360°×12

θ=48°

Therefore, The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

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\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Answer:

(-3, 3)

Step-by-step explanation:

Answer:

8 weeks

Step-by-step explanation:

Betsy:

x=471-13y

Carlos:

x=15+44y

471-13y=15+44y

456=57y

y=8

Answer:

The number is 21

Explanation:

The quotient is the answer of a division

Answer:

28.7

Step-by-step explanation:

12.7% = 0.127

226 * 0.127 = 28.702

Rounded

28.7

Answer:

hope this answer helps you dear...take care!

Answer:

The new value of the house after the 16% decrease would be $199,920.

Step-by-step explanation:

Given that a house was valued at $ 238,000, and over several years, the value decreased by 16%, giving the house a new value, to determine the new value the following calculation must be performed:

238,000 - (238,000 x 0.16) = X

238,000 - 38,080 = X

199.920 = X

Thus, the new value of the house after the 16% decrease would be $ 199,920.

Answer:

49680

Step-by-step explanation:

Multiply 54,000 by 92%. 100%(this years population)-8%=92%

54000*0.92 = 49680, people one year ago.

The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\(\frac{6x}{6}<\frac{18}{6}\)

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\(\frac{6x}{6} >\frac{24}{6}\)

answer

x>4

Answer:

The original cost of the digital camera is Rs. 18,500.

Step-by-step explanation:

Let c be the original cost of the digital camera

Since VAT of 13% was added then we can say that the amount that was paid was 13% more than the original price. So the payment made was 113% of the original amount or 1.13 in decimal

Payment = original cost + 13% VAT

20, 905 = c + 0.13c

20, 905 = 1.13c

Divide both sides of the equation by 1.13

20905/1.13 = 1.13c/1.13

18,500 = c

c = Rs. 18,500

Answer:

$31,142

Step-by-step explanation:

To convert a percentage into a decimal, you move the decimal two places to the left. 1354% converted into a decimal is 13.54.

$23,000 * 13.54 = $31,142

Answer:

Area = 100 ft^2

Step-by-step explanation:

To calculate the area of this composite shape, you need to find the area of all shapes and add them together.

1. Break the composite shape into different shapes.

Shapes: one rectangle, one square,  and one triangle.

2. Find the area of each of them.

Rectangle

L= 8ft    

W= 10ft

A= L x W

A= 8ft x 10ft

A= 80ft^2

Square

L= 4ft

W=10ft - 6ft = 4ft

A= L x W

A= 4ft x 4ft

A= 16ft^2

Triangle

A= 1/2 x base x height

b= 14ft -8ft-4ft = 2ft

h= 10ft - 6ft =4ft

A= 1/2 (2ft x 4ft)

A= 1/2 (8 ft^2)

A= 4ft^2

3. Add all the areas.

Area = Rectangle Area+ Square Area+ Triangle Area

A = 80ft^2 + 16ft^2 + 4ft^2

A= 100ft^2

Hope this helps!

Answer:

b

O They will be the same line.

Step-by-step explanation:

Answer:

I'm doing the same exact test as you were and I need help.

Answer:

-10x+9

Step-by-step explanation:

Answer:

te awnser is

Step-by-step explanation:

Answer: 1 & 5 are both corresponding angles

Step-by-step explanation: because they are both on the top and on the same side that's what makes them corresponding angles