What is the diameter of X?



12 cm
4 cm
8 cm
2 cm

A line of two points (4, 2) and (-1, k) is perpendicular to the line y=2x+1, then k = 9/2.

Given a line with equation y = mx + c, the slope is denoted by m.

Given 2 points with slopes m₁ and m₂, those two lines are perpendicular if:

m₁ x m₂ = -1

The given line equation is:  y = 2x+1

Hence,

m₁ = 2

Compute the slope from 2 points: (4, 2) and (-1, k)

m₂ = (k - 2) / (-1 - 4)

m₂ = (-1/5) (k - 2)

Use the condition for perpendicular lines:

m₁ x m₂ = -1

2 x (-1/5) (k - 2) = -1

2k - 4 = 5

2k = 9

k = 9/2

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Answer:

$25.60

Step-by-step explanation:

To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.

16/0.25=64

64*0.4=25.6

$25.60

Answer:

thanks

Step-by-step explanation:

I will take 1000 dollars because it is advertised at 1000 dollars

m∠s + m∠y = 90

m∠s = 90 - m∠y            

m∠s= 2(m∠y) - 75

90 - m∠y = 2 m∠y -75

90 + 75 = 3 (m∠y)

165 = 3 (m∠y)

55= m∠y

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer: The missing dimension of the rhombus in the given figure is Height of rhombus h  h=A/b=90/15= 6cm. so missing dimension is h=6cm

What is Dimension ?

In general, dimension refers to the measurement or size of an object, space, or quantity along a particular axis or direction. In mathematics, dimension refers to the number of coordinates needed to specify a point in a space.

What is Rhombus ?

A rhombus is a type of quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is a special case of a parallelogram in which the opposite sides are parallel to each other, and its opposite angles are equal.

In the given question,

area of rhombus is A=b*h  so it can be rewritten as  h=A/b by substituting values given in question we get h= 6cm

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Answer:

D not here

Step-by-step explanation:

A-2 is not reasonable as it is not possible

C- bot possible

B- maybe

D- most reasonable

Answer:

X is 70 degrees

Step-by-step explanation:

Answer:

X is 70 degrees

Step-by-step explanation:

all triangles and straight lines are up to 180 degrees so

180-120=60

we now have 2 angles, so now we need to subtract from 180 to get the missing number

180-60-50=70

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

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Answer:

The probability of finding the entry in the period between 30 and 32 minutes is 5%.

Step-by-step explanation:

Given that the time required to find an entry is uniformly distributed between 0 and 60 minutes, it implies that 100% of the chances are in that period of time distributed equally. Therefore, since 100/60 is equal to 1.66, each minute has a 1.66% chance that the entry will be there.

Thus, since between minutes 30 and 32 there are 3 minutes in total (30, 31 and 32), to determine the probabilities of finding the entry in that period it is necessary to perform the following calculation:

1.66 x 3 = X

5 = X

Therefore, the probability of finding the entry in the period between 30 and 32 minutes is 5%.

3x-4y=12 best describes the graph of the line.

Hence, 3x-4y=12 best describes the graph of the line.

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Answer:

so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours

+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes

Step-by-step explanation:

answer from gauth math

Answer:

22 hours and 30 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

1/8

Step-by-step explanation:

You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The total cost of the mortgage based on Susan's predictions is D.  $528,310.80.

A mortgage payment is a reduction of the mortgage loan through periodic payments.

The total cost of a mortgage is the periodic mortgage payment multiplied by the number of payments.

The total mortgage cost can be determined using an online finance calculator as follows:

Home Price = $200,000

Down Payment = 0%

Loan Term = 30 years or 360 months (30 years x 12)

Interest Rate = 8%

Monthly Pay:   $1,467.53

Total of 360 Mortgage Payments = $528,310.80 ($1,467.53 x 360)

Total Interest $328,310.49

Thus, the total cost of the mortgage based on Susan's predictions is D.  $528,310.80.

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Answer:

4c

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5c - c

Step 2: Simplify

Answer:

1. 5000

2. 500

3. 50

4. 50

5. 50

6. 0.5

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

The answer in terms of x and the norm of the vector is: x / norm(x)

The unit vector pointing in the same direction as vector x can be calculated as:

x / ||x||

where ||x|| represents the norm (length) of the vector x.

x / norm(x)

In mathematics, a vector is an object that has both magnitude and direction. It can be represented by an arrow, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can be represented in different coordinate systems such as Cartesian, polar, or spherical coordinates.

In linear algebra, vectors are often represented as n-tuples of real numbers, where n is the dimension of the vector space. For example, a 2-dimensional vector can be represented as (x, y), and a 3-dimensional vector can be represented as (x, y, z). Vectors can be added and subtracted, scaled by a scalar, and used in operations such as dot product and cross product.

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The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.

Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure

A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.

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Answer:

(-9) + (-2) = -11

Step-by-step explanation:

The first arrow on the number line starts from 0, moves downwards 9 units from 0.

We would write this as -9.

Also, the next arrow starts moves from -9, 2 units downwards.

We would write this as -2

The addition equation would be:

(-9) + (-2) = -11

Answer:

$80 is the 100% original price

The sale price is $56 with 30% off and $24 in savings.

Step-by-step explanation:

We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of  comparing percent and  comparing the 24 to the original price. We then set them equal.

We then cross multiply across the equal sign from numerator to the opposite numerator.

30(x)=24(100)

30x=2400

We divide to find x.

x=80.

Since we saved $24 as a discount, the sale price would be 80-24=56.

We have that triangle RST and triangle NPQ are congruent, therefore m

We need to find first the value of x so we have the next equation

Then we substitute the value

ANSWER

m

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Answer:

Renewable resources are abundant.

Step-by-step explanation

I have answered this question before

Answer:

A. Renewable resources are abundant.

Step-by-step explanation:

hope this helps

The value of fraction 0.5 7  is equal to 1/2.

We are given that;

Number = 0.57

Now,

There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.

For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.

Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.

These fractions are equivalent because they have the same value when simplified or reduced.

To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).

Therefore, by algebra the answer will be 1/2.

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Answer:

49.2 - 12.3 = 36.9

Step-by-step explanation:

Difference in Math terms means Subtract