Please help me with trigonometry and law of sines I’m being timed and really need the help

Answer:

(0, 4) and (-1, 0)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}\)

Solve by substitution

Substitute the first equation into the second:

\(\implies 2x^2+6x+4=-4x^2+4\)

Add 4x² to both sides:

\(\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2\)

\(\implies 6x^2+6x+4=4\)

Subtract 4 from both sides:

\(\implies 6x^2+6x+4-4=4-4\)

\(\implies 6x^2+6x=0\)

Factor out 6x from the left side:

\(\implies 6x(x+1)=0\)

Therefore:

\(\implies 6x=0 \implies x=0\)

\(\implies x+1=0 \implies x=-1\)

To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:

\(x=0 \implies -4(0)^2+4=4 \implies (0,4)\)

\(x=-1\implies -4(-1)^2+4=0\implies (-1,0)\)

Therefore, the solutions to the system of equations are:

(0, 4) and (-1, 0)

Answer:

Solutions:

a) x = 0, y = 4 ⇒ (0, 4)

b) x = -1, y = 0 ⇒ (-1, 0)

Step-by-step explanation:

Given system of equations:

a) y = 2x² + 6x + 4

b) y = -4x² + 4

1. Substitute the value of y in the second equation into the first equation:

⇒ -4x² + 4 = 2x² + 6x + 4

2. Solve for x:

⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]

⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4

⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]

⇒ -4x² - 2x² = 2x² - 2x² + 6x

⇒ -6x² = 6x [subtract 6x from both sides]

⇒ -6x² - 6x = 6x - 6x

⇒ -6x² - 6x = 0 [factor out -6x from the equation]

⇒ -6x(x + 1) = 0

Two cases:

a)

⇒ -6x = 0 [divide both sides by -6]        

⇒ -6x ÷ -6 = 0 ÷ -6

⇒ x = 0

b)

⇒ x + 1 = 0 [subtract 1 from both sides]

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

3. Find the value of y by substituting the found x values into one of the given equations:

a) x = 0:

⇒ y = -4x² + 4

⇒ y = -4(0)² + 4

⇒ y = -4(0) + 4

⇒ y = = 0 + 4

⇒ y = 4

coordinate: (0, 4)

b) x = -1:

⇒ y = -4x² + 4

⇒ y = -4(-1)² + 4

⇒ y = -4(1) + 4

⇒ y = -4 + 4

⇒ y = 0

coordinate: (-1, 0)

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When a single card is randomly drawn from a standard deck of 52 playing cards, the odds in favor of the card being a 3, 4, 5, 6, or 7 can be calculated by considering the total number of these cards and the total number of cards in the deck.

In a standard deck, there are four suits (hearts, diamonds, clubs, and spades), each containing one card of each rank (from Ace to King). Therefore, there is one 3, 4, 5, 6, and 7 in each suit, which results in a total of 4 cards for each rank (3s, 4s, 5s, 6s, and 7s). As there are five ranks in question, there are 4 x 5 = 20 cards that are either a 3, 4, 5, 6, or 7.

To find the odds in favor of drawing one of these cards, we'll divide the number of favorable outcomes (20) by the total number of possible outcomes (52). So, the odds in favor are:

20 (favorable outcomes) / 52 (total outcomes) = 5/13

Therefore, the odds in favor of drawing a 3, 4, 5, 6, or 7 from a standard deck of cards are 5/13.

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Answer:

\(m = 360 - (59 + 77) \)

The value of the missing angle x in the triangle is; x = 29 degrees

In a triangle, we know that the exterior angle is always equal to the sum of the interior opposite angles. This property is referred to as exterior angle property. This means that any two triangles will be similar if their corresponding angles tend to be congruent and the length of their sides will be proportional.

From the exterior angle property , when we apply it to the given triangle, we will have;

x + x = 58

2x = 58

x = 58/2

x = 29°

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Step-by-step explanation:

the answer to your question with roster method is

(-5,-4,-3,-2 and -1)

The set of the negative integers greater than -5 will be {-5,-4,-3,-2,-1}.

A group of integers is referred to as an element and makes up a set. The set of numbers can either be an endless or a limited collection.

Using "{" and "}" with the elements separated by commas is one way to represent a set in roster notation; for example, the set "2,31" has the elements 2 and 31.

Given that the negative integers are greater than or equal to −5. The set of the numbers will be calculated as below:-

The set of the numbers is {-5,-4,-3,-2,-1}. The numbers -4 to -1 are greater than -5 and all are negative integers.

Therefore, the set of the negative integers greater than -5 will be {-5,-4,-3,-2,-1}.

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No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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The required equation is:\(x^2 - 4x = 18.\)

State the formula for a square's area?

The area of a square is:

Area = (side length) *( side length)

Alternatively, it can also be written as:

\(Area =( side\ length)^2\)

In both cases, the area of a square is calculated by multiplying the length of one side by itself, since all sides of a square are equal in length.

Let's start by finding the area and perimeter of the square.

By the formula,the area of a square is :

Area = (side length)*( side length) =\(x^2.\)

The perimeter of a square is:

Perimeter = 4(side length)

Perimeter= 4x

Now, we can write the equation that represents the given situation:

Area of the square - Perimeter of the square = 18

Substituting the formulas for area and perimeter:

\(x^2 - 4x = 18\)

So, the equation to represents the situation is:

\(x^2 - 4x = 18.\)

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Answer:

13,500,000,000

Answer:

13500000000

Step-by-step explanation:

Answer:

X≈8

Step-by-step explanation:

Hyp=9

Opp=X

Adj=4

HYP²=OPP²+ADJ²

9²=X²+4²

81=X²+16

81-16=X²

65=X²

X=√65

X=8.1

X≈8

Answer:

y = -3x - 2

Step-by-step explanation:

Equation of a line passing through \((x_1,y_1)\) and slope m is,

\(y-y_1=m(x-x_1)\)

Slope of a line passing through \((x_1,y_1)\) and \((x_2,y_2)\) is,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line passing through (0, -2) and (1, -5) will be,

Slope = \(\frac{-2+5}{0-1}\)

m = - 3

Therefore, equation of the line passing through (0, -2) and slope = -3 will be,

y + 2 = -3(x - 0)

y + 2 = -3x

y = -3x - 2

y = 2x - 4

y = 4x - 6

y = 3x - 4

that's what i got

Answer:

B+

3.3 GPA

Step-by-step explanation:

A brainly Would be greatly appreciate!!!

Answer:

87.25

Step-by-step explanation:

The specific gravity of the combined product of 50-ml portions of three syrups is approximately 1.2233.

The question is asking for the specific gravity of the combined product when 50-ml portions of three syrups with specific gravities of 1.10, 1.25, and 1.32 are combined.

To find the specific gravity of the combined product, we need to calculate the weighted average of the specific gravities of the three syrups.

Step 1: Multiply the volume of each syrup by its specific gravity.
- For the syrup with a specific gravity of 1.10, the product is 50 ml * 1.10 = 55.
- For the syrup with a specific gravity of 1.25, the product is 50 ml * 1.25 = 62.5.
- For the syrup with a specific gravity of 1.32, the product is 50 ml * 1.32 = 66.

Step 2: Add up the products from step 1.
55 + 62.5 + 66 = 183.5

Step 3: Divide the total from step 2 by the total volume of the combined syrups (150 ml).
183.5 / 150 = 1.2233

Therefore, the specific gravity of the combined product is approximately 1.2233.

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Answer:

a(5a-b)

Step-by-step explanation:

2a(a+b)+3a(a-b) = 2a²+2ab+3a²-3ab

                          = 5a²-ab

                          = a(5a-b)

Answer:

Step-by-step explanation:

Find what you know.

Perimeter = 64cm

Length = width*3 + 8cm

Width = unknown (use w)

Perimeter of a rectangle formula is:

P = 2*L + 2*W or P = 2(L + W)

We know P and we have a formula for L

64cm = 2[(w*3 + 8cm) + w]

64cm = 2(3w + 8cm) + 2w

64cm = 6w + 16cm + 2w

Combine like terms:

64cm = 8w + 16cm

Subtract 16cm from both sides:

64cm - 16cm = 8w

48cm = 8w

Divide both sides by 8 to isolate the variable.

48cm/8 = w

6cm = w or swap them and w = 6cm

Now take the formula for perimeter again and plug in the value for width

64cm(P) = 2(L + 6cm(W))

64cm = 2L + 12cm

Subtract 12cm from both sides:

64cm - 12cm = 2L

52cm = 2L

Divide both sides by 2 to isolate the variable:

52cm/2 = L

26cm = L or swap them and L = 26cm

Rectangle is 26cm in length and 6cm in width.  There is no height variable in a 2D rectangle, but sometimes (rarely) width is referred to as height. If this is a 3D box, than the height is equal to the width, in which case the information given might be slightly misleading.

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Donald S. answered • 01/06/15

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The perimeter = 2l + 2w

l = 3w+8

2l+2w = 64

2(3w+8)+2w = 64

6w+2w+16 = 64

8w + 16 = 64

8w = 48

w = 6 so l = 3(6)+8 = 26

Answer:(x)= 0.6

Step-by-step explanation:

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Using Newton's method, we have found that p2 is approximately 2.449.

Using Newton's method, p2 is approximately 2.449 (rounded to three decimal places).

First, we need to find the derivative of f(x), which is f'(x) = 2x. Then, we can use the formula for Newton's method:

p(n+1) = p(n) - f(p(n))/f'(p(n))

Starting with p0 = 1, we can compute:

p1 = p0 - f(p0)/f'(p0) = 1 - (-5)/2 = 3.5

p2 = p1 - f(p1)/f'(p1) = 3.5 - (-5.25)/7 = 2.449

Therefore, using Newton's method, we have found that p2 is approximately 2.449.

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Answer:

13.25

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

I did the ixl

The probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

We can use Bayes' theorem to find the probability that a senior student drives to school, given that they are a senior.

First, we need to calculate the probability of a student being a senior:

\(P(senior) = \frac{25+5+5}{(2+25+3+13+20+2+25+5+5)} = \frac{35}{100} = 0.35\)

Next, we need to calculate the probability of a senior student driving to school:

P(drive ∩ senior) = 25/100 = 0.25

Now we can apply Bayes' theorem:

P(drive | senior) = P(drive ∩ senior) / P(senior)

P(drive | senior) = 0.25 / 0.35 ≈ 0.71

Therefore, the probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

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Answer:

144

Step-by-step explanation:

Since they are a linear pair they add to 180

4x + x = 180

5x = 180

x = 36

4x =  144

Answer:

12.5 for every 1 hour

Step-by-step explanation:

The letter used to represent Pearson's product-moment correlation coefficient is "r".

This coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no linear correlation.

To calculate Pearson's correlation coefficient, we first standardize the variables by subtracting their means and dividing by their standard deviations. Then, we calculate the product of the standardized values for each pair of corresponding data points. The sum of these products is divided by the product of the standard deviations of the two variables. The resulting value is the correlation coefficient "r".

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Answer:

if I I just want free point so I am

the answer is C a=3 for this equation

Answer:

sloppee!!!  thats just a weird word   (   <>

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Step-by-step explanation:

Answer: 1

Step-by-step explanation: use foil and get 4-3.