W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z

Answer:

86-30=56

86-4=82

86-34=52

Step-by-step explanation:

The Equivalent expressions of the given expression is a 27x -3.

According to the statement

We have to find that the equivalent expression.

So, For this purpose, we know that the

Equivalent expressions are expressions that work the same even though they look different.

In other words, Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

From the given information:

The given expression is a

3(5x + 7)-6(4- 2x)

To find the equivalent expression we have to solve it

Then

3(5x + 7)-6(4- 2x)

15x + 21 -24 +12x

Now combine the similar terms by applying mathematical operations

Then the equation become

27x -3.

So, The Equivalent expressions of the given expression is a 27x -3.

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Answer:

10742527

Step-by-step explanation:

the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

We know that, if the lines are parallel, then their slopes are equal.

We have the line:

- x + 2 y = 7

Slope = - 1

Now, we have the point ( 4, 3)

So, the equation of the line will be:

y - y₁ = m ( x - x₁ )

Substituting the values, we get that:

y - 3 = - 1 ( x - 4 )

y - 3 = - x + 4

x + y - 3 - 4 = 0

x + y - 7 = 0

- x - y + 7 = 0

Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

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Finding the equation of the parabola, it is found that the height of the diving board is of 24 feet.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

From the maximum height, it is found that the vertex is at (1,25), hence:

h = 1, k = 25.

Hence:

y = a(x - 1)² + 25.

You hit the water 6 feet from the diving board, hence y(6) = 0, meaning that we use it to find a as follows:

0 = a(6 - 1)² + 25

25a = -25.

a = -1.

Hence:

y = -(x - 1)² + 25.

The height of the diving board is y(0), hence:

y = -(0 - 1)² + 25 = -1 + 25 = 24 feet.

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Answer: 59

Step-by-step explanation:

Answer:

square root of 29

Step-by-step explanation:

1. Find the hypotenuse for the right triangles

2. There’s your answer

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Answer:

648, 108 , 18, 3

divide all with 3

216,36,6,1

which means 6³,6²,6¹,6⁰....can be written as

[tex] {6}^{4 - 1} \: \: {6}^{4 - 2} ...so \: on \\ [/tex]

[tex]so \: \: pattern = \\ n = {6}^{4 - n} \times 3[/tex]

Answer:

im assuming D equals miles so id have to say 35

Step-by-step explanation:

Answer:

I cant see the picture that clearly but it looks like it'll be about $6.50

it's kinda blurry

Step-by-step explanation:

Answer:

-9.5, -7, 5

Step-by-step explanation:

We need to make this a readable function. We will change it to slope-intercept form, y = mx + b. to do this, we must isolate the variable y.

-5x + 2y = -19
-5x + 2y + 19 = -19 + 19
-5x + 2y + 19 = 0
-5x + 2y - 2y + 19 = -2y
-5x + 19 = -2y
We are solving for positive y, so we will flip all signs in the equation.
5x + - 19 = 2y
5x/2 - 19/2 = 2y/2
2.5x - 9.5 = y
y = 2.5x - 9.5

There's our y = mx + b. We now need to solve for each ordered pair.

y = 2.5(0) - 9.5
y = -9.5
(0, -9.5)

y = 2.5(1) - 9.5
y = 2.5 - 9.5
y = -7
(1, -7)

2.5x - 9.5 = 3
2.5x - 9.5 + 9.5 = 3 + 9.5
2.5x = 12.5
2.5x/2.5 = 12.5/2.5
x = 5
(5, 3)

Answer:

(a) 9a + 2

(b)  a = 5

Step-by-step explanation:

Perimeter of a triangle = sum of sides

=

2a + 1     +
3a + 2    +
4a  - 1
----------

9a + 2   Answer (a)

If perimeter = 47 , then 9a + 2  =47

Subtract 2 from both sides

==> 9a = 47 -2

9a = 45

a = 45/9

a = 5

The expression in terms of i  is  mathematically given as

x=√6*i

A complex number is a component of a number system that extends the real numbers by adding a specific element denoted I also known as the imaginary unit, and satisfying the equation i2 = 1;

Every complex number can be expressed in the format a + bi, where a and b are real numbers. In other words, a complex number is a number that contains both real and imaginary components.

Generally, the equation for the expression is  mathematically given as

x=√-6

Where

i=√-1

Therefore

x= √6 *√-1

x=√6*i

In conclusion, The expression in terms of i is

x=√6*i

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Answer:

$1.62

Step-by-step explanation:

If you divide $2.43 by 3 it's 0.81 and that's the cost of one loaf of bread so multiply that by 2 and you get the cost of two loaves of bread which is $1.62

Answer:

I think it's -62.3 feet

Step-by-step explanation:

So if a scuba diver is 75 feel below sea level that will be -75 feet and if they go up by 12.7 feet that will be -62.3 feet.

Im not quite sure but I hope this helps

Answer:

Well on average if you leave the water running that's about 4 gallons the first time you brush your teeth. So brushing your teeth twice a day would be on averge 8 gallons a day.

Step-by-step explanation:

Hope this helps......if not sorry for wasting your time and may God bless you<3

Answer:

875

Step-by-step explanation:

Answer:

the answer is 875

your welcom =D

The y-intercept of the given line is -1/2

Y-Intercept means the line making an intercept on the y-axis where the value of x will be 0.

In simple terms, the Y-intercept of any line can be found by making x = 0

The equation of the line given is

20x + 20y = -10

So to find the y-intercept, let us keep x = 0

Thus, the equation becomes

20(0) + 20y = -10

0 + 20y = - 10

20y = -10

y = -10/20

y = -1/2

y = -0.5

The answer need to be in proper fraction as said in the question,

Thus y = -1/2

So, The y-intercept of the given line is -1/2

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Answer:

7 ounces

Step-by-step explanation:

You divide 28 by 4 which would equal to 7 ounces per batch.

Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

Given that Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.

We need to determine the rate of change for this situation.

To find the number of ounces of vinegar Elizabeth used to make 1 batch of salad dressing, we need to divide the total amount of vinegar (28 ounces) by the number of batches (4).

The rate of change for this situation is the amount of vinegar used per batch.

Let's calculate it:

Vinegar used per batch = Total vinegar used / Number of batches

Vinegar used per batch = 28 ounces / 4 batches

Vinegar used per batch = 7 ounces

So, Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

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Answer:

10 days

Step-by-step explanation:

20-0.4x=16

-20          -20

-0.4x=-4x

/0.4  /0.4

x=10

so after 10 days she'll need to purchase another bag of rice  

1.2 gallons of water should be added to 1 gallon of antifreeze to make it a solution which have 45% of antifreeze.

Percentage is the value per hundredth.

According to the given question we have to determine how much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze.

To obtain a 45% antifreeze solution we need (100-45)% = 65% water.

Let us assume that the total mix is of x gallons which contains 45% antifreeze.

∴ The total mix in gallons which contains 45% antifreeze and have 1 gallon of antifreeze is

(45/100)x =1.

0.45x = 1

x = 1/0.45

x= 2.22 gallons of total mix.

∴ Water in this mix which have 45% of antifreeze is (2.22 - 1) gallons which is = 1.22 gallons of water.

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Answer:

[tex]\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]

Step-by-step explanation:

Given the equation of:

[tex]\displaystyle{V=\dfrac{1}{3}\pi r^2 h}[/tex]

The equation is also reference to volume of a cone. To solve an equation for h-term, we’ll multiply both sides by 3 first to clear all denominator:

[tex]\displaystyle{V \cdot 3 = \dfrac{1}{3}\pi r^2 h \cdot 3}\\\\\displaystyle{3V = \pi r^2 h}[/tex]

Then divide both sides by [tex]\displaystyle{\pi r^2}[/tex]:

[tex]\displaystyle{\dfrac{3V}{\pi r^2}=\dfrac{\pi r^2 h}{\pi r^2}}\\\\\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]

Answer:

x=-3y+12

Step-by-step explanation:

[tex]4-\frac{x}{3}=y[/tex]

You can subtract y from both sides and add (x/3) to both sides to isolate the variable that you're trying to solve.

[tex]-y+4=\frac{x}{3}[/tex]

Multiply both sides by 3

[tex]-3y+12=x[/tex]

Points of the triangle ABC after rotating counter-clockwise 90° and translation of [(x+2),(y-5)] will be a triangle XYZ which has points of XYZ, X(6,-7), Y(2,-4), and Z(-5,-8).

Translations are of 4 types they are rotation, dilation, translation and reflection.

We know when the rotation of 90° counter-clockwise takes place we switch the coordinates (x,y) to (y,x) and make x negative which is (y,-x).

Given a triangle ABC with points A(2, 4), B(-1, 0), and C(3, -7) rotated 90° to form another triangle XYZ.

∴ Points of triangle XYZ will be X(4,-2), Y(0,1), and C(-7,-3).

Now we translate these points by [(x+2),(y-5)].

∴ Points of triangle XYZ will be X(6,-7), Y(2,-4), and Z(-5,-8).

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Answer:

if there is lettuce, carrots, and broccoli... those are three ingredients.

Step-by-step explanation:

3, because of the amount of ingredients

Answer:

it's true because

Answer:

- 14x +3

Step-by-step explanation:

hope this helps u. : )