Use point-slope form to write the equation of a line that passes through the point
(-8, 8) with slope 3.

Subtract full rotations of 2π until the angle is greater than or equal to 0 and less than 2π

sec(π4) – trigonometry value

The exact value of trigonometry - sec(π4) is 2√2.

Multiply 2√2 by √2.

2⋅√2⋅2

Combine and simplify the denominator.

2√2

Cancel the common factor of 2.

√2

There are various ways to display the outcome.

Exact Form:

√2

Decimal Form:

1.41421356…

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Answer:

The answer should be 12.5%

On solving the given  question, we got that -  the polynomial function of lowest degree with rational real coefficients is [tex]= > P(x) = 3x^{2} - 21x + 30[/tex]

Polynomial equations are those created using variables, exponents, and coefficients. The higher exponent, known as the equation's degree, can have a variety of exponents. By factoring polynomials based on the degree and variables in the equation, we can solve them.

We are aware that the lowest degree polynomial function, denoted by p(x), has the following properties:

[tex]= > P(x) = c(x - a)(x - b)\\[/tex]

The leading coefficient is 3, the roots are 5, and the roots are 2, respectively.

Therefore, the lowest degree polynomial with the aforementioned characteristics is:

[tex]= > P(x) = 3(x - 5)(x - 2))\\= > P(x) = 3(x^{2} - 7x + 10)\\= > P(x) = 3x^{2} - 21x + 30\\[/tex]

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Maya drove on the mountains for her trip. Due to traffic, her average rate of miles per hour was faster at the time of coming back to her home than going on her trip. Thus, The distance between where she lives and the mountains is

288 miles .

Let's consider that Maya live x miles from the mountains.

Let her rate to mountains be y miles/h.

we have given that

Driveing time taken by Maya going from home to trip location= 9 hours due to traffic

total return time taken by her = 4 hours

average rate = 40 miles/hour

Using rate formula,

Rate = distance/time

=> distance (d) = rate (r) × time (t)

so, x/y = 9

=> x=9y --(1)

Return trip 4 hours then rate = y+40

=> x/(y+40) =4 --(2)

using Substitution method, x= 3 substitute in (2)

=> 9y/(y+40)=4

=> 9y=4y+160

=> 9y-4y=160

=> 5y=160

=> y= 160/5

=> y=32

Now, x=9y

x=9×32= 288 miles

Hence, distance to the mountain is 288 miles.

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Complete question:

Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?

Do not do any rounding.

Answer:

The ratio of mangos to grapes is 2:7.

Step-by-step explanation:

The original ratio of mangos to grapes would be 4:14. When it says mangos to grapes, it means mangos first, then grapes. If it said grapes to mangos, the grapes would go first. But, in this case the mangos go first. Now, we don't worry about the strawberries because it says to find the ratio of mangos to grapes, which is 4:14. Now, it says to simplify it to the simplest form. So, we can do this by dividing both numbers by the same number down as far as they can go as a whole number (a number without a decimal):

4 ÷ 2 = 2

14 ÷ 2 = 7

So, this is as far as we can go. So, our final answer is 2:7.

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Answer:

2:7

Step-by-step explanation:

4 mangos for every 14 grapes

the ratio right now is 4:14 this can be simplified by dividing by 2

4 divided by 2 = 2        ( 2 x 2 = 4 )

14 divided by 4 = 7       ( 7 x 2= 14)

Now the ratio is 2:7, or 2 mangos for every 7 grapes we know this is right because in order to use the amount the recipe calls for you need to double the answer

(adding separately is easier)

2+2 = 4

7+7 = 14

= 4:14

Answer:

Step-by-step explanation:

a+4/5=11/2

 -4/5.   -4/5

_____.  _____

a= 11/2 *5/5. = 55/10

     -4/5 * 2/2.  -8/10

 ______________

a= 47/10

By using trigonometry, it can be calculated that

Value of x is 23.775

What is trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are

[tex]sin \theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]

[tex]sin\theta = \frac{perpendicular}{hypotenuse}[/tex]

[tex]cos\theta = \frac{base}{hypotenuse}[/tex]

[tex]tan\theta = \frac{perpendicular}{base}[/tex]

[tex]cot\theta = \frac{base}{perpendicular}[/tex]

[tex]sec\theta = \frac{hypotenuse}{base}[/tex]

[tex]cosec\theta = \frac{hypotenuse}{perpendicular}[/tex]

Trigonometry is a very important tool in mathematics.

Here, trigonometry is used

From the figure,

cos 18 = [tex]\frac{x}{25}[/tex]

0.951 = [tex]\frac{x}{25}[/tex]

x = 0.951 [tex]\times[/tex]25

x = 23.775 cm

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Complete Question

what is the value of x in this triangle? enter your answer in the box. x

x = cm

A right triangle. The hypotenuse is labeled as 25 centimeters. The base is labeled as x. The alternate base angles are labeled as right angle and 18 degrees, respectively.​

Answer: $342

Step-by-step explanation:

We take 162.00 divided by 9 = $18 / h

To find the salary of 19 hours we just need to take 18 times 19 = $342

Answer:

57671680x^9 y^2

Step-by-step explanation:

using combinatorics

The correct option A.  -3, is the value of constant 't', for which the equation has no real solutions.

For the stated question-

The quadratic equation is given as-

2x² - 4x = t

2x² - 4x - t = 0

The standard from of quadratic equation is-

ax² + bx + c = 0

For no solution;

Discriminant is less than zero.

D < 0

b² - 4ac < 0

Comparing both equations-

b = -4, a = 2 and c = -t

Put value in D.

(-4)² - 4(2)t < 0

Solve the inequality

16 - 8t < 0

t < -2

Thus, the value of constant 't', for which the equation has no real solutions.

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The correct question is-

2x² - 4x = t,In the equation above, t is a constant. If the equation has no real solutions, which of the following could be the value of t ?

A.  -3

B.  -1

C. 1

Answer: a=0

Step-by-step explanation:

-2a + 5a = -3a

3a = -3a

a= 0

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Answer:

Step-by-step explanation:

The percentage of his tip compared to the cost of the iced coffee drink is 17.57%.

Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".

To determine the percentage, we must first determine the proportion of the amount of the tip compared to the cost of the drink he purchased by dividing the two values. After that, multiply the answer by 100.

percentage = (amount of the tip/cost of the iced coffee drink) x 100

percentage = ($1/$5.69) x 100

percentage = 0.175747 x 100

percentage = 17.57%

Hence, he tip 17.57% of what he purchased.

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Answer: -8r^13

Step-by-step explanation: We just need to take those numbers multiplied by each other. -4 timed 2 = -8. r^5 timed r^8 = r^13, we just add both because they have the same base and multiple a square is the same as adding them together.

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Answer:

y

+

2

=

3

4

(

x

−

11

)

Explanation:

Point slope form is given by the following formula:

y

−

y

1

=

m

(

x

−

x

1

)

In order to use the point slope formula we need two things:

1. The slope or

m

which in this case is

4

3

2. A point on the graph which we are given

(

−

2

,

11

)

Along with the slope, if we let

(

−

2

,

11

)

→

(

x

1

,

y

1

)

we can substitute all this information into the point-slope formula:

y

−

−

2

=

3

4

(

x

−

11

)

Simplify:

y

+

2

=

3

4

(

x

−

11

)

hope I helped you:)

The solution of the system of equations:

y = x + 422

y + 4  =x

is the point (-88, -46)

Here we have the system of equations:

y = x + 42

2y + 4  =x

To solve the system, we can replace the first equation into the second one:

2*(x + 42) + 4 = x

2x + 84 + 4 = x

2x + 88 = x

2x - x = -88

x = -88

And the value of y is:

y = x + 42

y = -88 + 42 = -46

The solution is the point (-88, -46).

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Answer:

612½ pi units² or 1920 units²

Answer: 30

Step-by-step explanation:

1 red chip = $10, so 30 red chips = $ 300

1 blue chip = $5, so 20 blue chips = $100

Add the cost of both we get $400, matching our question requirements.

Answer: He spent 3 hours as a cashier and 6 hours as a lifeguard

Step-by-step explanation:

First, you figure out his time as a cashier; 12($ per hour) x 3(hours working) = $36. Then, since it states he spent twice as many hours being a lifeguard, you double his hours when figuring out his time as a lifeguard; 18($ per hour) x 6(hours working) = $108. Add up both of your totals, $108 + $36 = $144.

Answer:125

Step-by-step explanation:

Answer:

b=14

Step-by-step explanation:

b^2=196

Square root both sides

b=14

Hopes this helps please mark brainliest

Answer:

14

Step-by-step explanation:

You're just looking for the square root of 196, and [tex]\sqrt{196} = 14[/tex]

Answer:

Step-by-step explanation:

x^2 + y^2 = z^2 is the pythagorean theorem.

If you divide the large triangle into two separate ones, with sides 7, 4 and 0.5y, you can use the pythagorean theorem to figure out 0.5y. So:

7^2 = 4^2 +(0.5y)^2

49-16 = 33

so y=2sqrt(33)

The linear equation written in the slope-intercept form is:

y = -x - 5

A linear equation can be written in the slope-intercept form as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Particularly, if the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope of the line is written as:

m = (y₂ - y₁)/(x₂ - x₁)

Here we can use the first two points on the table (or any you want) to find the slope:

(-1, -4) and (3, -8)

m = (-8 + 4)/(3 + 1) = -1

The slope is -1, so the line is something like:

y = -x + b

To find the value of b we can use another of the points on the table, if we use (7, -12) then we must have:

-12 = -7 + b

-12 + 7 = b

-5 = b

The linear equation is:

y = -x - 5

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The solution that is "3 times a number is 28 less than the square of that number" in the negative is -4.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.

Here,

Let the number be n.

3n=n²-28

n²-3n-28=0

n²-7n+4n-28=0

n(n-7)+4(n-7)=0

(n+4)(n-7)=0

n=-4,7

The negative solution to the number that is "3 times a number is 28 less than the square of that number" is -4.

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Answer:

-4 is correct

Step-by-step explanation:

Got it correct on delta 2023

The line segments joining the given points are not parallel.

In order to find the slope of a line, calculate the angle it makes with x axis as a reference. Then its slope can be determined by taking tan ratio of that angle.

Given that,

The first segment is joined from (3, -3) to (3, 9).

And, the second segment is joined from (-5, 12) to (1, 0).

In order for the segments to be parallel, their slope must be equal.

The slopes of both the segments can be found as,

First segment,

Slope = (3 - 3)/(-3 - 9)

          = 0/-12

          = 0

Second segment,

Slope = (-5 - 1)/(12 - 0)

          = -6/12

          = -1/2

Since slopes of the segments are not equal, they are not parallel.

Hence, the given line segments are not parallel.

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Answer:

7.5

Step-by-step explanation:

W -- X -- Y ----- Z

We are given that :

Given this we want to find XZ

XZ consists of XY and YZ so we must find the length of the individual segments.

Finding YZ

Here, we know that YZ = WY as y is the midpoint of WZ. If WY = 5 then YZ also = 5

Finding XY

Given that WY = 5 and that X is a midpoint of WY we know that the segments WX and XY = WY and are congruent.
In other words we can say that 2XY = WY

==> WY = 5

2XY = 5

==> divide both sides by 2

XY = 2.5

Finding XZ

Again, XY + YZ = XZ

We have XY = 2.5 and YZ = 5

Hence, 2.5 + 5 = XZ

XZ = 7.5

Answer:

XZ = 7.5

Step-by-step explanation:

A drawing is sometimes very helpful.

Start by drawing a segment with endpoints W and Z.

   +--------------------------------------------+

   W                                                  Z

Y is the midpoint of WZ. Draw point Y in between W and Z and the same distance from both W and Z.

    +---------------------+--------------------+

   W                        Y                       Z

X is the midpoint of WY. Draw X between W and Y, and the same distance to W and Y.

   +----------+----------+--------------------+

   W          X           Y                       Z

Because of the midpoints, we know that:

WX = XY

WY = YZ

WY = 5

WX and XY are each half of WY, so WX = XY = 5/2 = 2.5

WY = YZ = 5

XZ = XY + YZ

XZ = 2.5 + 5

XZ = 7.5

1) The value of x is 30 degree.

2) The value of x is 32.5 degree.

A triangle's opposite angles are also congruent if its two sides are.

Given:

Using Base Angle Theorem

Two Angles are 35 and 35.

Using Angle Sum Property

3x+ 20 +35+ 35 = 180

3x+ 90 = 180

3x = 90

x= 30

Again Using Base Angle Theorem

let the Angles in left triangle are 50, y and y

Using Angle Sum Property

50+ 2y= 180

2y= 130

y= 65

Again Using Angle Sum Property  in Big Triangle

50+x + 65 + x = 180

2x = 65

x= 32.5  degree

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Answer:

I can't well see question but, their ratios aren't the same

Answer:

So...

Step-by-step explanation:

He earns $7.00 per hour, and he needs $210.00. H represents hours.

7.00 every hour

So 7.00 x  2 is 14

7.00 x 10.00 is 70

7.00 x 30 is 210. So after 30 hours he will be able to buy his phone. He should buy his phone on black friday. But now its too late.