What is the equation of a line that passes through the point (−2, 5) and has a slope of zero

Answer:

B

Step-by-step explanation:

Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.

A) 2(12+10)=2(22)=44

B) 2(50+10)=2(60)=120

This works! Therefore, the correct answer is choice B. Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

The value of ∠WXY = 20.

What is Exterior angle theorem?

The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.

Given: Measure of angle YWX = (3x + 17) °

Measure of angle WXY = (3x + 2) °

Measure of angle XYZ = (10x − 5) °

Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)

⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °

Solve for x,

⇒ 10x - 5 = 3x + 17 + 3x + 2

⇒ 10x - 6x = 17 + 7

⇒ 4x = 24

⇒ x = 6

∴ ∠WXY = (3x + 2) = 18 + 2 = 20

Hence, value of ∠WXY = 20.

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Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

Answer:

(−2,5)

Step-by-step explanation:

If you want to find x and y in this system of equations:

2x − 3y = −19

4x + 5y = 17

You can use elimination to get rid of one variable. Here's how:

First, double the first equation so that x has the same coefficient in both equations.

4x − 6y = −38

4x + 5y = 17

Then, subtract the first equation from the second equation to cancel out x and get a new equation with only y .

(4x + 5y) − (4x − 6y) = 17 − (−38)

11y = 55

Next, divide both sides by 11 to find the value of y .

y = 5

Now, plug in y = 5 into any of the original equations and solve for x .

2x − 3(5) = −19

2x = −4

x = −2

Finally, check that (−2,5) is the correct solution by substituting x = −2 and y = 5 into both original equations.

2(−2) − 3(5) = −19

−19 = −19

4(−2) + 5(5) = 17

17 = 17

So, the answer is (−2,5).

To find the solution for this system of equations, we can use either substitution or elimination method.

1. Multiply the first equation by 5 and the second equation by 3 to eliminate y:

  10x - 15y = -95

  12x + 15y = 51

2. Add the two equations to eliminate y:

  22x = -44

3. Divide both sides by 22 to solve for x:

  x = -2

4. Substitute x = -2 into one of the equations to solve for y. Let's use the first equation:

  2(-2) - 3y = -19

  -4 - 3y = -19

  -3y = -15

  y = 5

Therefore, the ordered pair (-2, 5) is the solution for the system of equations 2x − 3y = −19 and 4x + 5y = 17.

The missing side is 90 when all the other side are 30, 45 and 45.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. A closed, two-dimensional figure with four sides, four angles, and four vertices is called a quadrilateral. Square, rectangle, and trapezium are a few examples of quadrilaterals. A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

Given

Sides 30, 45 and 45

As we know sum of quadrilateral is 180

Let other side be x.

30 + 45 + 45 + x = 180

90 + x = 180

x = 180 - 90

x = 90

The missing side is 90 when all the other side are 30, 45 and 45.

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Answer:

15

Step-by-step explanation:

I hope you have a great day and welcome to brainly!

Answer:

26

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

so:

30 + 2w - 8 = w + 48

22 + 2w = w + 48 export like terms to the same side of the equation

2w - w = 48 - 22 subtract

w = 26

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

Here we want to get the limit:

\(\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1}\)

First, we can try to evaluate directly in x = 2 and see if it does not generate any problem, we will get:

\(\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1} = \frac{2^2 + 3*2 + 1}{2^3 + 2 + 1} = 1\)

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

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From the given integer numbers, the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

The temperature in Delaware is of 5 ºC, hence for our range, we have that:

Alaska(< -5), Tennessee(>15) and WV(<-5) do not have temperatures in this range, hence the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

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Answer:

X will be your answer be 126 and 110

Step-by-step explanation:

6x3x7=126

y=11x2x5=110

so X>Y

hope it helps!

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

The inequality that represents the possible values for the numbers of hamburguers and tacos purchased is given by:

5.5h + 4t ≤ 35.

We have a maximum amount for the total cost, of 35, hence the inequality is formatted as follows:

T ≤ 35.

The total cost is a function of the number of hamburguers purchased, given by, and the number of tacos purchased, given by t.

To build the function, we have to find the costs of each, given in the text as follows:

Hence the total cost is given by:

T = 5.5h + 4t.

Returning to the inequality given at the beginning of the explanation, it is given by:

5.5h + 4t ≤ 35.

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Answer:

The correct option to tell whether a relationship is proportional or not is;

\(\dfrac{y}{x}\)

Step-by-step explanation:

A proportional relationship is a relationship between two variables, 'x', and 'y' such that they have equivalent ratio, such that all values of variable 'y' are given by the product of the values of the variable 'x' and a constant, 'k'

Therefore, y = k · x, from which we have;

\(\dfrac{y}{x} = k = Contant\)

Therefore we can use \(\dfrac{y}{x}\) to tell whether a relationship is proportional or not proportional.

Teniendo en cuenta la regla de tres simple, el cartero reparte 64.200 cartas en un semestre.

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.

Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos y x la variable a calcular:

a ⇒ b

c ⇒ x

Entonces: \(x=\frac{cxb}{a}\)

En este caso, se puede aplicar la regla de tres de la siguiente manera: Entonces, si el cartero en un mes reparte 10.700 cartas, ¿en 6 meses (un semestre) reparte cuántas cartas?

1 mes ⇒ 10.700 cartas

6 meses ⇒ ×

Entonces: \(cantidad de cartas=\frac{6 mesesx10.700 cartas}{1 mes}\)

Resolviendo:

cantidad de cartas= 64.200 cartas

En resumen, el cartero reparte 64.200 cartas en un semestre.

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Answer:

2.95+0.14t=x

i think but ehhh, i am pretty sure about the constant but not to sure about the varibles

The minimum value is 0.5 and the maximum value is 3.5.

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The vectors v = 6i - 3j and w = i + 2j are orthogonal.

To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.

Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,

1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)

2. Multiply the corresponding components of the vectors:

\((6 \times 1) + (-3 \times 2) = 6 - 6 \)

3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.

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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The expand

\(f(x) = 5x^2 - 4, -1 < x < 1\),

in a Fourier series, we first need to find the Fourier coefficients a_n and b_n. These coefficients are given by:

\(a_n = (2/L) ∫ f(x) cos(nπx/L) dx\)
\(b_n = (2/L) ∫ f(x) sin(nπx/L) dx\)

where L is the period of the function, which in this case is 2. Evaluating these integrals, we get:

\(a_0 = -4\)
\(a_n = 0\)
\(b_n = (10/π^2) (-1)^n sin(nπ/2)\)

Using these coefficients, we can write the Fourier series as:

\(f(x) = a_0/2 + ∑ [a_n cos(nπx/L) + b_n sin(nπx/L)]\)

Substituting the values of a_0, a_n, and b_n, we get:

\(f(x) = -2 + (10/π^2) [sin(πx/2) - (1/9) sin(3πx/2) + (1/25) sin(5πx/2) - ...]\)

Note that the series is an odd function, which means that only the sine terms appear in the expansion. The series converges uniformly to\( f(x) for -1 < x < 1\), and is periodic with period 2.

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Answer:

30* or A

Step-by-step explanation:

If the triangles are congruent, corresponding angles and sides are equal.

So angle c is 60* because it is opposite of side x.

angle b is 180-90-60 because all angles add up to 180 in a triangle.

Answer:

p.

Step-by-step explanation:

p is the independent variable.

The dependent one is h.

The value of h depends on the value of p.

It can be written in standard form as \(5x^2-2+3\) and the degree of polynomial is 2 with leading coefficient as 2.5.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.

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Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

\(\frac{4.8}{1} =\frac{x}{25} \\\)

Then cross multiply (multiply 4.8 by 25 and x by 1)

\(4.8(25) = x(1)\\120 = x\)

Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = \(\frac{1}{\sqrt{3} }\) = \(\frac{\sqrt{3} }{3}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{15}\) = \(\frac{\sqrt{3} }{3}\) ( cross- multiply )

3x = 15\(\sqrt{3}\) ( divide both sides by 3 )

x = 5\(\sqrt{3}\) → D

Answer:

A

Step-by-step explanation:

slope remains same.

m = y/x

This is the answer hope you understand it