Solve the system using matrices (row operations) S42 – 4y = - 4, = 12. 2 + 3y How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, entert in the answer blank for y and enter a formula for a in terms of t in the answer blank for 1. If there are no solutions, leave the answer blanks for 1 and y empty.

Answer:

35.8351≈35.8 feet

Step-by-step explanation:

Answer:

sfafsfa

Step-by-step explanation:asgaerdgfvbdzfvzdx aw efaeszdgds

The value of x is 1.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 8 is an equation.

We have,

2x + y = 8 _____(1)

5x - y = -5 _____(2)

3x = 3 ______(3)

From (3) we get,

x = 1

Thus,

x is 1.

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Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

Answer: -21

Step-by-step explanation:

Answer:

3 cm

Step-by-step explanation:

The formula for the area of a circle is:

\(A = \pi r^2\)

Where "r" represents the radius of the circle. We can substitute the given value for Area into the equation to solve for the radius.

\(A=\pi r^2\\9\pi = \pi r^2\)

Divide both sides by π

\(9=r^2\)

Take the square root of both sides

\(\sqrt9=\sqrt {r^2}\\r=3\)

The radius of the circle is 3 cm.

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

3/8 as a percent equals 37.5%

Step-by-step explanation:

Answer:

.375

Step-by-step explanation:

So the measure of angle HLK is 45 degrees.

In geometry, an arc is a part of a curve that is typically a segment of a circle. It is defined by any two points on the curve, which are called its endpoints, and by all the points that lie along the curve between those two endpoints. An arc can be measured by its degree measure, which is the measure of the central angle that intercepts the arc, or by its length, which is the distance between its endpoints along the curve. In the context of a circle, an arc is also called a circular arc.

Here,

Since the measure of minor arc HK is 90°, we know that angle HJK is also 90°, since it is an inscribed angle that intercepts the same arc.

By the inscribed angle theorem, the measure of angle HLK is half the measure of arc HK. Therefore,

measure of angle HLK = 1/2 * measure of arc HK

= 1/2 * 90°

= 45°

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Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

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In the △IGH, the measurement of the angles are m∠G = 114°, m∠H = 49°, and m∠I = 17°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that,

m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°.

The sum of interior angles of a triangle is 180°.

Therefore,

m∠G + m∠H + m∠I = 180°

Putting m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

(7x - 5)° + (3x - 2)° + x° = 180°

Combine like terms:

(7x + 3x + x) - (5 + 2) =180

11x - 7 = 180

Add 7 on both sides:

11x = 187

Divide both sides by 11:

x = 187/11

x = 17

Now putting x = 17 in m∠G = (7x - 5)°, m∠H = (3x - 2)°, and m∠I = x°:

m∠G = (7×17 - 5)° = 114°

, m∠H = (3×17  - 2)° = 49°

m∠I =  17°

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Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

Answer: 4

Step-by-step explanation:

Since 3(4+n) is equivalent to 3(n+p)​, 4 would be the correct answer

Answer:  4

a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin

Definition of probability

(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.

We calculate  the number of possible combinations:

C₁⁶⁵= 65!/1!(65-1)!

     = 65

Number of favorable combinations is 1.

Therefore, the probability is

P=1/65.

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Answer:

(a + 1) (b + 2 ) = 2a + b + ab + 2

Step-by-step explanation:

\((a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2\)

\((a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2\)

Answer ↦ \(\boxed{\tt{ab + 2a + b + 2}}\)

↦ Distributive Property.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

1: 48 cubos

2.150 cubos

3.63

4.14

Explicación:

Prácticamente es multiplicar los 3 numeros.

Answer:

Exact Form:

x=401/625

Decimal Form:

x=0.6416

Answer: x = 401/625

Step by step:

How to solve your problem

25^{2}x-1=400

Solve

1

Evaluate the exponent

2

Add

1

to both sides

3

Simplify

4

Divide both sides by the same factor

5

Simplify

Show less

Solution

The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.

In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.

One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.

The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.

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Complete Question:

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?

Answer:

b

Step-by-step explanation:

Sure, I'd be happy to help you out with that question! Firstly, let's take a closer look at the function f(x) = -(x-4)²-1. This is a quadratic function, which means it is a type of function where the highest power of x is 2.

The negative sign in front of the function means that it is reflected over the x-axis, and the squared term means that it has a parabolic shape. The constant -1 at the end of the function shifts the entire graph down by one unit. Now, let's examine the statements that have been given to us about this function. Without knowing what the statements are, we cannot make any judgments about their accuracy. However, we can use our knowledge of quadratic functions to determine whether or not the statements are possible or impossible.
For example, one statement might be that f(x) has a minimum value of 4. This is a possible statement since we know that the vertex of a parabolic function represents its minimum or maximum value. In this case, the vertex of f(x) is (4, -1), which means that the minimum value of the function is indeed -1.
Another statement might be that f(x) has a horizontal asymptote at y = -1. This statement is impossible since a quadratic function can never have a horizontal asymptote. As x approaches positive or negative infinity, the value of f(x) will either increase or decrease without bounds.

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Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

Answer:

±√5 are the solutions to x^2=5

Step-by-step explanation:

Write out x^2=5.  Now enclose each of the two sides in parentheses.  Apply the exponent (1/2) to both sides:

(x^2)^(1/2) = (5)^(1/2)

The left side simplifies to x and the right side to ±√5.

So ±√5 are the solutions to x^2=5.

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

\(P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133\)

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

The speed of the rock just before it strikes the ground is given by v = √(2 * 9.8 m/s² * h), where h is the height from which the rock falls.

To calculate the kinetic energy gained by the rock while falling, we need to determine the change in potential energy. The potential energy lost by the rock is converted into kinetic energy.

The potential energy lost by the rock is given by the formula: ΔPE = m * g * h, where m is the mass of the rock (2.2 kg), g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height from which the rock falls.

Since the rock starts from rest, its initial kinetic energy is zero. Therefore, the change in kinetic energy is equal to the change in potential energy.

Using the conservation of energy principle, the change in potential energy is equal to the gained kinetic energy: ΔKE = ΔPE.

Now, we can calculate the gained kinetic energy: ΔKE = 2.2 kg * 9.8 m/s² * h.

To find the speed of the rock just before it strikes the ground, we can equate the gained kinetic energy to the final kinetic energy using the formula: KE = (1/2) * m * v², where KE is the kinetic energy, m is the mass of the rock, and v is the velocity or speed of the rock.

Setting ΔKE equal to KE and solving for v, we have: 2.2 kg * 9.8 m/s² * h = (1/2) * 2.2 kg * v².

Simplifying the equation, we get: v² = 2 * 9.8 m/s² * h.

Taking the square root of both sides, we find: v = √(2 * 9.8 m/s² * h).

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Answer:

Pretty sure DC is also 7.

Step-by-step explanation:

The triangle seems equal on both sides so if AC = 7, then DC = 7.

Answer:

DC= 7

Step-by-step explanation:

ΔABC≅ΔDBC

AB=DB

BC=BC and

CA=CD

given AB= 10

AC= 7

DC= AC =7

so DC will be 7

hope it helps

have a great day!!

All of the following statements are true:

a. Effective listening is vital to success in selling.

b. visual aids play a part in the listening process.

c. people can talk approximately twice as fast as they can listen.

d. you should listen closely to everything you hear.

e. listening refers to the process of trying to detect sounds.

Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.

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Answer:

x + 4y = 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (3, 1 )

m = \(\frac{1-2}{3-(-1)}\) = \(\frac{-1}{3+1}\) = - \(\frac{1}{4}\) , then

y = - \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = \(\frac{1}{4}\) + c ⇒ c = 2 - \(\frac{1}{4}\) = 1 \(\frac{3}{4}\) = \(\frac{7}{4}\)

y = - \(\frac{1}{4}\)x + \(\frac{7}{4}\) ← in slope- intercept form

multiply through by 4 to clear the fractions

4y = - x + 7 ( add x to both sides )

x + 4y = 7 ← equation in standard form

equation of line in two point form is needed here.

The surface area of the tent is  86 ft²

Therefore,

The base and top are triangular.

Therefore,

area of base = 1 / 2 bh = 1 / 2 × 4 × 3.5 = 7 ft²

area of the tope = 7 ft²

Therefore, the other three rectangular sides are calculated as follows:

area = 6 × 4 = 24 ft²

area = 6 × 4 = 24 ft²

area = 6 × 4 = 24 ft²

Therefore,

Surface area = 7 + 7 + 24 + 24 + 24 = 86 ft²

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