Solve −2x2 +3x − 9 = 0.

Answer:

Its B I just took the test

he 2 kites are identical

CD is the same as WX

 so it would be x +0

 answer is A

6 * (4+2)^2 -3^2 =

6 * 6^2 -3^2 =

6* 36-9 =

216-9=

207

Answer is C. 207

The solution of the given quadratic equation will be ( -5, 0 ).

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Given equation is:-

x²  =   -5x

x²  +   5x  =  0

x  (  x + 5 ) = 0

x  =  0   and   x  =  -5

Therefore the solution of the given quadratic equation will be ( -5, 0 ).

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The solutions to the quadratic equation [tex]\(x^2 = -5x - 3\)[/tex] can be calculated after modifying the quadratic equation and rewriting it to [tex]x^{2} + 5x + 3 = 0[/tex], and then this can be calculated using the quadratic formula. The solutions are x =[tex]\frac{{-5 + \sqrt{13}}}{2}[/tex]and x =[tex]\frac{{-5 - \sqrt{13}}}{2}[/tex] .

To find the solutions to the quadratic equation [tex]\(x^2 = -5x - 3\)[/tex], let's first rewrite it in the standard form:

[tex]\[x^2 + 5x + 3 = 0\][/tex]

Now, we can use the quadratic formula to find the solutions:

[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]

Where a = 1,,b = 5, and c=3.

[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4 \cdot 1 \cdot 3}}}}{{2 \cdot 1}}\][/tex]

[tex]\[x = \frac{{-5 \pm \sqrt{{25 - 12}}}}{2}\][/tex]

[tex]\[x = \frac{{-5 \pm \sqrt{13}}}{2}\][/tex]

So, the solutions are:

x =[tex]\frac{{-5 + \sqrt{13}}}{2}[/tex] and [x = [tex]\frac{{-5 - \sqrt{13}}}{2}[/tex]

Answer:

The system of equations is

[tex]x+y=15[/tex]

[tex]19x+8y=164[/tex]

Step-by-step explanation:

Let

x------> the number of videos of new releases

y-----> the number of classics videos

we know that

[tex]x+y=15[/tex] ------> equation A

[tex]19x+8y=164[/tex] ------> equation B

Using a graphing tool

Solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is [tex](4,11)[/tex]

see the attached figure

therefore

the number of videos of new releases is [tex]4[/tex]

the number of classics videos is [tex]11[/tex]

Answer:

Jerome bought 15 videos from a department store. Some videos were new releases, x,  which cost $19, and some videos were classics, y, which cost $8. He spent a total of $164 on the videos. Which system of equations is set up correctly to model this information?

x + y = 15. 19 x + 8 y = 164.

x + y = 15. 8 x + 19 y = 164.

x + y = 164. 19 x + 8 y = 15.

x + y = 15. 19 x minus 8 y = 164.

ANSWER IS A

Final answer:

To find the area of the Mona Lisa in square centimeters, multiply the width and height in inches, then convert to square centimeters using the conversion factor. The area is approximately 4098.97 square centimeters.

Explanation:

To calculate the area of Leonardo da Vinci's Mona Lisa in square centimeters, we start with the given measurements in inches: the painting is 21 inches wide and 30.25 inches tall. Since the area is width multiplied by height, we perform the following calculation:

Area in square inches = width in inches × height in inches

Area in square inches = 21 × 30.25

Area in square inches = 635.25

To convert square inches to square centimeters, we use the conversion factor where 1 square inch = 6.4516 square centimeters.

Area in square centimeters = Area in square inches × 6.4516

Area in square centimeters = 635.25 × 6.4516

Area in square centimeters = 4098.97

Therefore, the area of the Mona Lisa is approximately 4098.97 square centimeters.

Final answer:

The odds of dealing yourself a blackjack in a single deck game of blackjack, by drawing an ace and a face card or 10 in either order, is 128 out of 2652, which simplifies to approximately 1 in 20.7.

Explanation:

In the game of blackjack, to determine the odds of dealing yourself a blackjack (ace plus a face card or 10), we need to calculate the probability of drawing an ace and then a ten-value card, or vice versa, from a single deck. A standard deck of cards has 52 cards, with 4 aces and 16 ten-valued cards (10, J, Q, K across four suits). The probability of drawing an ace first is 4 out of 52, and then a ten-value card is 16 out of 51. Alternatively, the probability of drawing a ten-value card first is 16 out of 52, and then an ace is 4 out of 51.

The total probability is the sum of both probabilities:

We then add these two probabilities together to find the total probability of dealing a blackjack from a single deck.

The total probability is (4/52) * (16/51) + (16/52) * (4/51) which simplifies to (64/2652) + (64/2652), or 2 * (64/2652), which simplifies further to (128/2652). Therefore, the odds of dealing a blackjack are 128 out of 2652, or approximately 1 in 20.7 when simplified.

Answer:

1: The GCF of 96x2 and 88x is:    Answer: 8x

2: Each term written as a product, where one factor is the GCF, is:     Answer: 8x(12x)+8x(11)

3: The factored form of the expression is:      Answer: 8x(12x+11)

Step-by-step explanation:

You're explanation is the answers hope I helped !!!! Good luck!!!!!

Answer:  The measure of the fourth angle of the given quadrilateral is 50°.

Step-by-step explanation:  Given that a quadrilateral has three angles that measure 90° , 100° and 120°.

We are to find the measure of the fourth angle of the quadrilateral.

Let x° be the measure of the fourth angle of the quadrilateral.

We know that

The sum of the measures of the four angles of a quadrilateral is 360°.

So, for the given quadrilateral, we have

[tex]90^\circ+100^\circ+120^\circ+x^\circ=360^\circ\\\\\Rightarrow 310^\circ+x^\circ=360^\circ\\\\\Rightarrow x^\circ=360^\circ-310^\circ\\\\\Rightarrow x^\circ=50^\circ.[/tex]

Thus, the measure of the fourth angle of the given quadrilateral is 50°.

Final answer:

The expressions provided are different forms of similar linear expressions, which could potentially describe the measure of angle RST if related algebraically or geometrically. The expression for m∠ RST is 6x - 9

Explanation:

Calculating the measure of angle RST involves understanding that the angles around a point add up to 360°, and the angles on a straight line add up to 180°. Based on the provided expressions, we are likely looking for the expression that adheres to these geometric rules.

The expressions given are: 3x – 9, 6x – 18, 1.5x – 4.5, and 6x – 9. To determine which one correctly represents the measure of angle RST, we would need some context from the problem or a diagram. However, assuming a relationship between the expressions and angle RST using linear or angular sums, we can observe that the expressions 3x – 9 and 6x – 18 are equivalent (by factoring out a 2 from the second expression), and similarly, 1.5x – 4.5 is equivalent to 3x – 9 upon multiplying by 2. The expression 6x – 9 could also be related if RST formed a linear pair with another given angle.

The simpliest way is to use the AAS Postulate.

AAS Postulate: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

From the diagram you have:

1. one pair of angles with measure 40°;

2. one pair of angles with measure 60°;

3. the non-included side of one triangle is congruent to the non-included side of another triangle (their lengths are 10).

Answer: correct choice is D (AAS)

Answer:

AAS postulate :)

Step-by-step explanation:

To estimate the gravitational constant (G), we apply Newton's law of universal gravitation, using the provided values of the force of gravity between Earth and Mars, the masses of both planets and their distance apart. The calculation yields an estimated G value of approximately 6.67 × 10⁻¹¹ N·m²/kg², which aligns with the known gravitational constant.

To estimate the gravitational constant (G), we can use Newton's law of universal gravitation, which states that the force of gravity (F) between two masses (m₁ and m₂) is directly proportional to the product of their masses and inversely proportional to the square of the distance (r) between their centers:

F = G * (m₁*m₂) / r²

Given that:

We can rearrange the formula to solve for G:

G = F * r² / (m₁ * m₂)

Plugging in the values:

G = (64.32 × 10¹⁴ N) * (2 × 1011 m)² / (6 × 10²⁴ kg * 6.4 × 10²³ kg)

G ≈ 6.67 × 10⁻¹¹ N·m²/kg²

This value is approximately equal to the known gravitational constant, solidifying our understanding of gravitational forces and confirming the validity of our calculations.

-36 is the correct answer

Answer:

he XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the X'Y'. So the length of X'Y' is 1.3 times of origin but the slope is the same. The slope is m

Step-by-step explanation: