Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

Answer 1

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

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Find the area of the shaded region. Round your answer to the nearest hundredth.

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it will be 36

Step-by-step explanation:

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Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
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The list of ordered pairs below represents a function.
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Find the range of the function. Write your answer' as a comma separated list.

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Answer:

{-8, 3, 4, 7}

Step-by-step explanation:

range is y values in the ordered pairs

{-8, 3, 4, 7}

Work out
47% of £900

Answers

Answer:

47 percent *900 =

(47:100)*900 =

(47*900):100 =

42300:100 = 423

Now we have: 47 percent of 900 = 423

Question: What is 47 percent of 900?

Percentage solution with steps:

Step 1: Our output value is 900.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$900=100\%$.

Step 4: Similarly, $x=47\%$.

Step 5: This results in a pair of simple equations:

$900=100\%(1)$.

$x=47\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{900}{x}=\frac{100\%}{47\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{900}=\frac{47}{100}$

$\Rightarrow x=423$

Therefore, $47\%$ of $900$ is $423$

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Answer:

huh

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively

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Answers

Answer:

Hope this is right and helps :)

Step-by-step explanation:

Carrie loves carrots so much that she ate 30 of them for lunch. Her sister doesn’t like carrots as much and only ate 5 of them for lunch. The number of carrots Carrie ate is how many times greater than the number that her sister ate?

Answers

If carrie ate 30 and her sister at 5. To find how many times greater than the number her sister ate we just need to divide the two numbers. 30/5=6.

Which means she at 6 times the amount of carrots than her sister.

Simplify 10^9 ÷ 10^7

Answers

Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

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Answer:

A: the area of the walls that are being painted

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F: the number of square feet that can be painted per gallon of paint

Step-by-step explanation:

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is 6y +2 - y + 3 and 3 - y + 2 + 6y the same

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Answer:

Step-by-step explanation:

Yes.

All you have done is changed the order. They are exactly the same.

You can sort of verify this by using

-4 + 6 - 8 + 2 = - 4

2 + 6 - 4 - 8 =  

8 - 12 = - 4

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (2, -1) and (6, -9).

Answers

Answer:

x-2=y+1

Step-by-step explanation:

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Which is the quotient for 0.9 divide by 0.75

Answers

Answer:

1.2!

Step-by-step explanation:

The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

0.90 and 0.75

Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have

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The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.

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Answer:

  x² +14x +49

Step-by-step explanation:

Use the distributive property and collect terms.

  (x +7)² = (x +7)(x +7)

  = x(x +7) +7(x +7)

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Describe in words a sequence of transformations that maps ABC to A' B' C
Write an ordered-pair rule for this sequence of transformations.

Answers

Answer:

A reflection over the y-axis followed by a translation 4 units down

Step-by-step explanation:

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Answer:

Step-by-step explanation:

3t² - t

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Answer:

a = (3,6)

b = (9,-3)

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Step-by-step explanation:

Multiply the values of the cordinates by the 3.

(1.2)

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3,3

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(-4,-2)

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Answer:

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Step-by-step explanation:

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Answer:

  ∠AMB = 103°

Step-by-step explanation:

The sum of angles in ∆AMB is ...

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Calculate the volume of the pyramid. Round your answer to the nearest hundredth 10in 7in

Answers

Answer:

Place the numbers in their places. b=base h=height.

Step-by-step explanation:

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).

4 sin(2θ) − 2 sin(θ) = 0

Answers

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

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Answer:

y = 1.6x −5

Step-by-step explanation:

We start with two points, let’s say (0,-5) and (4,1.4).

The equation is:

y=mx+b

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y = 1.6x −5.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 37°

Step-by-step explanation:

Given the triangle with two given exterior angles, m ∠107° and m ∠110°:

We can use the exterior angle theorem where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.

Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.

The supplement of ∠110° is:

∠110° + y  = 180°

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Subtract ∠110° from both sides:

∠110° - ∠110°  + y  = 180° - ∠110°

y =  70°

Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:

107° = x° + 70°

Subtract 70 from both sides:

107° - 70° = x° + 70°- 70°

x = 37°      

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?

Answers

9514 1404 393

Answer:

  AED 5200

Step-by-step explanation:

The interest in the first year will be ...

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The account will have AED 5200 in it after a year.

Solve for x in terms of y if 3x - 5 = y.

Answers

Answer:

5/3

Step-by-step explanation:

y= 3x - 5

Replace y with 0

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Rewrite the equation as

3x−5=0

Add 5 to both sides of the equation.

3x=5

Divide each term by 3 and simplify.

x = 5/3

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Answer:

Is a give number 4 5 is a reflexive property

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Answers

.7899 rounded is .79. But in you want to convert/round it all the way it’s 1. But .79 makes more sense. Or .8. Which ever one works!!


Hope this helped. :)
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