what should be added to 780629 so that the sum is exactly divisible by 493?​

2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.

That means the 2 sides of the right triangle are 2 and -3

Area of triangle= 1/2×base×height

                         = 1/2×-3×2

                         =-3

∴ Area of the triangle=-3

The area of the asked triangle is 3 sq units.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.

When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3

Hence, the height and base of the triangle will be 2 and 3 respectively.

Area of a triangle = 1/2 (base) (height)

Area = 1/2 (2)(3)

Area = 3

Hence, the area of the asked triangle is 3 sq units.

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Answer:

[tex]{ \tt{y = 2x}}[/tex]

Answer:

2y=x

Step-by-step explanation:

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf y= \frac{5}{4}x+1}}[/tex]

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

[tex]y=mx+b[/tex]

Where:

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

[tex]5x-4y= -4[/tex]

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

[tex]5x-5x-4y=-4-5x[/tex]

[tex]-4y=-4-5x[/tex]

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

[tex]\frac {-4y}{-4}=\frac{-4-5x}{-4}[/tex]

[tex]y= \frac{-4}{-4}+\frac{-5x}{-4}[/tex]

[tex]y=1+\frac{5}{4}x[/tex]

Rearrange the equation.

[tex]y= \frac{5}{4}x+1[/tex]

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is [tex]\bold {y= \frac{5}{4}x+1}}[/tex].

The slope is 5/4 and the y-intercept is 1.

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( -4-2)/(5-9)

    = -6/-4

    =3/2

Answer:

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]r = 2[/tex], then the equation of the circle is:

[tex]x^{2} + y^{2} = 4[/tex] (1b)

Then, we clear [tex]y[/tex] within (1b):

[tex]y^{2} = 4 - x^{2}[/tex]

[tex]y = \pm \sqrt{4-x^{2}}[/tex] (2)

If we know that [tex]x = 1[/tex], then the y-coordinate of point A is:

[tex]y = \sqrt{4-1^{2}}[/tex]

[tex]y = \sqrt{3}[/tex]

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Answer:

Subtractive Property of equality

Step-by-step explanation:

Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.

Answer:

Subtraction property of equality

Answer:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Step-by-step explanation:

1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.

2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.

3)Certain problems arise with self reporting of distances, such as recording error or poor recall.

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

Hope this helps you.

Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

como se siente el actor al presentar la obra hola

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

y = x^2 -4

Exchange x and y

x = y^2 -4

Add 4 to each side

x+4 = y^2

Take the square root of each side

sqrt(x+4) = y

f^-1(x) = sqrt(x+4)

Answer:

f^-1(x) = sqrt(x+4)

Step-by-step explanation:

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

Let x be the amount (in liters) of 20% solution that Gabe uses, and y the amount (also in L) of the 60% solution.

He needs 80 L of 30% solution, so that

x + y = 80

0.20x + 0.60y = 0.30 (80) = 24

Solve for y in terms of x :

y = 80 - x

Substitute this into the second equation and solve for x :

0.20x + 0.60 (80 - x) = 24

0.20x + 48 - 0.60x = 24

24 = 0.40x

x = 60

Solve for y :

y = 80 - 60

y = 20

Answer:

f(x)= √ 1 2 x + 4 For x ≤ 0

Step-by-step explanation:

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

[tex]\sigma = 300[/tex]

[tex]M.E=25[/tex]

At 82% CI,

[tex]\alpha = 0.18[/tex]

Critical value,

[tex]Z_c=1.341[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]

By substituting the values, we get

      [tex]=(1.341\times \frac{300}{25} )^2[/tex]

      [tex]=(1.341\times 12)^2[/tex]

      [tex]=259[/tex]

Answer: 25.6 servings (partial serving) / 25 servings (whole serving)

Step-by-step explanation:

Concepts:

As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.

1 quart = 4 cups

Solve:

Step one: Convert quarts into cups

Step two: Divide the cups to find the number of servings

**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.

Hope this helps!! :)

Please let me know if you have any questions

66 because you have to solve the problem next time

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

Answer:

deflation ,,,,

Step-by-step explanation:

Deflation must have existed during the second 9-year period.

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.

The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.

Given data ,

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.

In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.

Hence , the process is deflation in the second year

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