Evaluate the expression when x = -2/3
and y= 2/9

x-4y

Answer:

MARK HIM BRAINLIEST

Step-by-step explanation:

By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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Answer:

What number would you add to both sides of x2 + 7x = 4 to complete the square? Summary: The number 49/4 should be added on both sides of x2 + 7x = 4 to complete the square

Step-by-step explanation:

Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers

Step-by-step explanation: Use following Combination formula

nCr = n! / r!(n-r)!

n=46

r=6

=46!/6!(46-6)!

=46!/[6!(40)!]

=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)

Cancel out 40!

=46*45*44*43*42*41/(6*5*4*3*2*1)

=6744109680/720

=9366819

Answer:

m = 4

(0, 1)

y = 4x + 1

Step-by-step explanation:

Slope using first two points (-2, 7) & (-1, -3):

\(m=\frac{y2-y1}{x2-x1}\)

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

m = 4

Y-intercept, b: (0, 1)

Equation:

y = mx + b

y = 4x + 1

Answer:

I would say Inductive reasoning.

Step-by-step explanation:

Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.

Hope this helps you out a bit.

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8

Answer:

-15 ,-22,-29 ,-36 ,-43

Step-by-step explanation:

Answer:

C(1)=13

c(n)=c(n-1)+-7

Step-by-step explanation:

To find what C(1) equals look at the first number in the sequence in this case the sequence starts at 13 that's what C(1) equals

13,6,-1,-8  

To find what c(n) equals you check what the common difference is in this case they are adding -7 or subtracting 7 each time.

13-7=6  

6-7= -1

-1-7=-8            

Then you plug the common difference into the last part it, C(n)=c(n-1)+-7        

Answer:

175

Step-by-step explanation:

+ × - = -

thus 199+(-24)

199-24

175

Answer: 199 + -24 = 175

Step-by-step explanation: 199 is a positive number and -24 is a negative number. If the positive number is bigger than the negative number you subtract. So forget that the - sign is there and subtract it.  

The volume of the prism is 48.75cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

A prism is a solid shape that is bound on all its sides by plane faces.

The volume of the prism is expressed as;

V = base area × height

base area = 1/2 bh

area = 1/2 × 6 × 5/2

= 30/4

= 7.5 cm²

Height of the prism = 13/2 = 6.5 cm

Therefore the volume

= 7.5 × 6.5

= 48.75 cm³

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The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer:

i really don't know because i'm only in 7th grade but if this helps then yea

Step-by-step explanation:

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Answer:

Step-by-step explanation:

Answer:

the greatest common factor of 20 and 50 is 5.

have a nice day <3

Answer:

the answer provided by the other user is correct

=5

Hello, there!!!!

Given that,

80°,3x° and 2x°are three angles on a st.line.

we have,

2x°+3x°+80°= 180° {The total sum of angles on a st. line is 180°}.

or, 5x°= 180°-80°

or, 5x°=100°

or, x= 100°/5

Therefore the value of x is 20°.

Hope it helps...

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

10 busses

Step-by-step explanation:

285÷30=9.5

9.5 would round up to 10

Answer:

68

Step-by-step explanation:

I literally just used a calculator LOL

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

\(Pr = \frac{38}{84}\)

Simplify

\(Pr = \frac{19}{42}\)

Express as percentage

\(Pr = 45.24\%\)

Hence, the probability that a teacher is a woman or teaches math is 45.24%

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Answer:

(1) 56 miles/hour

Step-by-step explanation:

We need to find the average rate of change from t = 2 to t = 9.

At t = 2 hours, d = 106 miles.

At t = 9 hours, d = 498 miles.

The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

(498 - 106)/(9 - 2) = 392/7 = 56

Answer: (1) 56 miles/hour

Yes, this collection is a set because it has a well-defined and finite number of elements, namely {2, 3, 5, 7}.

(ii) The method of describing this collection is the roster method or tabular method, where the elements of the set are listed within curly braces and separated by commas.

(iii) {2, 3, 5, 7}

In mathematics, a set is a collection of conspicuous objects or elements, taken as an object in its own right. These elements can either be numbers, letters, symbols, or even other sets. A set is defined by listing its elements or by specifying a property that its elements satisfy.

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Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

The quotient of 258 divided by 4 is calculated to be 64.5

Division is considered to be one of the four basic operations of arithmetic. The other three are multiplication, addition, and subtraction, and they can be defined as how numbers are combined to make new numbers.

Out of the four basic operations, division is the process of splitting an amount or a number into equal parts.

In division, the numerator is the top number of a fraction, and on the other hand, the denominator is the bottom number of a fraction and the result of division is called the quotient

In this case, 258 is the numerator and 4 is the denominator;

258 / 4 = 64.5

Therefore the quotient of this division is calculated to be 64.5

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The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:

a = 5

Step-by-step explanation:

Topic: Pythagorean Theorem

In this problem, we need to solve for a missing side in a right triangle using the Pythagorean theorem.

Formula: \(a^2 + b^2 = c^2\)

Parts:

Step 1: Plug in information

We want to use the info we have and plug in the values for the variables

"a" is unknown, so we can leave it like that

"b" is the second-longest and it is a leg. In this case, it is 12

"c" is the hypotenuse and the longest side. This has a value of 13

We can use this to rewrite the equation

a² + 12² = 13²

Step 2: Solve for a

We want all terms with "a" on one side, and we want "a" alone, no exponents, nothing.

a² + 12² = 13²

a² = 13² - 12²

a = √(13² - 12²)

Step 3: Solve for a

The rest is the same, just solving the equations. Remember, square rooting and squaring are not distributive to adding and subtracting. This means that √(13² - 12²) is not 13 - 12.

a = √(13² - 12²)

a = √(169 - 144)

a = √(25)

a = 5

-Chetan K

Answer:

The length of a is 5.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 12 and 13.

Finding the third side of triangle by pythagorean theorem formula :

\({\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}\)

Substituting all the given values in the formula to find the third side of triangle :

\(\begin{gathered}\quad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(13)}^{2} = {(a)}^{2} + {(12)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(13 \times 13)} = {(a)}^{2} + {(12 \times 12)}}}}\\\\\quad{\longrightarrow{\sf{(169)= {(a)}^{2} + (144)}}}\\\\\quad{\longrightarrow{\sf{169 = {(a)}^{2} + 144}}}\\\\\quad{\longrightarrow{\sf{{(a)}^{2} = 169 - 144}}}\\\\\quad{\longrightarrow{\sf{{(a)}^{2} = 25 }}}\\\\\quad{\longrightarrow{\sf{a= \sqrt{25}}}}\\\\\quad{\longrightarrow{\sf{a= \sqrt{5 \times 5}}}}\\\\\quad{\longrightarrow{\sf{a= 5}}}\\\\ \qquad\star{\underline{\boxed{\frak{\red{a= 5}}}}}\end{gathered}\)

Hence, the length of a is 5.

\(\rule{300}{2.5}\)

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps