solve for m<2. help meee

The slope of the line that passes through (2, 2) and (10, 6) is; 1/2.

The slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other. The slope of a line or straight object is the ratio of how much amount of rising occurs in correspondence to the increment in the run.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

We have been given that the line that passes through (2, 2) and (10, 6).

Let ( p,q) and (x,y) are (2, 2) and (10, 6) respectively.

Slope = \(m = \dfrac{y-q}{x-p}\)

m = (2-6)/(2-10)

m = 4/8

m = 1/2

Then the slope is 1/2.

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Answer:

0.3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

1. find the lowest common denominator which is 10.

2. for 4/5 you have to multiply 5 by 2 in order to get 10, so you multiply the numerator by 2 as well which gives you 8/10.

3. for 1/2 you have to multiply 2 by 5 in order to get 10, so you multiply the numerator by 5 also which gives you 5/10

4. you work out the difference between both numerators which is 3 and keep the denominator the same

Answer:

50,000.00

Step-by-step explanation: x/130,000.00=5/8+5

13x650,000.00

x=50,000.00

Answer: 100.4

Step-by-step explanation: 800 - 699.6 = 100.4

Answer:

-3

Step-by-step explanation:

As included in the image you put, slope is rise over run or y2-y1/x2-x1.

y2-y1/x2-x1

we'll replace x and y with the coordinate points given

-3 - 3/2-0

-6/2             simplify

-3/1

slope is -3/1 or -3.

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

On average, Jaya drinks 0.46 ounces glasses of water does she drink in one hour.

Average:

Average refers the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

On average, Jaya drinks of a 6-ounce glass of water in 13 hours.

Here we need to find the number of glasses of water does she drink in one hour.

Let x be the number of glasses of water does she drink in one hour.

We know that, Jaya drinks of a 6-ounce glass of water in 13 hours.

So, in order to find the average we have to divide the number of glasses by the time taken.

So, it can be written as,

=> 6/13

=> 0.46

Therefore, for one hour Jaya drinks 0.46 ounces of water.

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

I believe the answer is 11.25 forgive me if I'm wrong.

Step-by-step explanation:

Answer:

Hypotenuse Formula = a^2 + b^2 = c^2

Step-by-step explanation:

6.75^2 + 9^2 = x^2

45.5 + 81 = 126.5

√126.5 = 11.25

I'm not from the US or UK. So, My method of answering this maybe different

Answer:

Step-by-step explanation:

27 is converted to 27/100 to change it to a fraction.

Answer:

27%=27/100

Step-by-step explanation:

27% in fraction 27/100

The inequality is X > 0 and a word sentence represent the graph is  X  the graph of a number line with an open circle on zero and an arrow pointing to the right.

The inequality X > 0 represents the graph of a number line with an open circle on zero to left and an arrow pointing to the right. This means that any value of X that is greater than zero is a valid solution for the inequality.

In other words, X can be any positive number, such as 1, 2, 3, and so on. However, X cannot be zero or any negative number, as those values do not satisfy the inequality. Therefore, the word sentence that represents this inequality is "X is greater than zero."

This means that X must be a positive number, and it can be any value that is greater than zero.

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Answer:

14 us cups

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Start with Rs.5000.

40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000

Rs.5000 - Rs.2000 = Rs.3000

He took Rs.3000 in 20 Rupees notes.

Rs.3000/Rs.20 = 150

Answer: He took 150 20-Rupee notes

Answer:

150

Step-by-step explanation:

We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Step-by-step explanation:

2√8 • 4√8 • 6√3

Let's break the surd form:

√8 is a surd but can be broken down into 2√2(how did i get 2√2 let's take a look)

√8=[√4×√2)

Note:To break down a surd you must first check is the number can have a number which has a square root example:-simplify √32 to its lowest term.

√32 has factors of 1,2,4,8,16 and 32

if you carefully observe these numbers there is 3 numbers that are a perfect squares{4,8,16}

in surd we can only use two numbers lets try 4 and 8

√32=√4×√8 (8 has factors of 1,2,4,8)

√32=2× √2×√4

√32=2×√2×2

√32=2×2×√2

√32=4√2

now back to the question

2√8×4√8×6√3

2(√2×√4)×4(√2×√4)×6√3

2(√2×2)×4(√2×2)×6√3

2(2√2)×4(2√2)×6√3

4√2×8√2×6√3

when multiply in surd form make sure that the surd have at least a similar surd number example 2√2×4√2=2×2×(√2)²

=4×2

=8

let's rewind at the question

4×8(√2)²×6√3

32×2× 6√3

64×6√3

384√3

i hoped i helped and if you like the answer pls mark it as brainliest

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Formulating a linear optimization problem involves minimizing or maximizing an objective function.

The linear optimization problem is:

Max \(z= 300x + 500y\)

Subject to:

\(\frac{x}{800} + \frac{y}{700} \le 1\)

\(\frac{x}{1500} + \frac{y}{1200} \le 1\)

\(x,y \ge 0\)

Let:

\(x \to\) Type 1

\(y \to\) Type 2

Painting shop

We have:

\(x= 800\)

\(y = 700\)

The total number of type 1 and type 2 trucks that can be painted is not given. This means that; we represent this constraint using proportions.

So, we have:

\(\frac{x}{800} + \frac{y}{700} \le 1\)

Assembly shop

We have:

\(x =1500\)

\(y = 1200\)

Using proportions, we have:

\(\frac{x}{1500} + \frac{y}{1200} \le 1\)

Profit contributed

We have:

\(x = 300\)

\(y = 500\)

So, the objective function is:

\(z= 300x + 500y\)

Hence, the linear optimization problem is:

Max \(z= 300x + 500y\)

Subject to:

\(\frac{x}{800} + \frac{y}{700} \le 1\)

\(\frac{x}{1500} + \frac{y}{1200} \le 1\)

\(x,y \ge 0\)

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

y=log_2 (x)

Step-by-step explanation:

We see that the graph passes though the point (2,1). So we can write:

log_a (2) = 1  => a = 2

So it's a log in base 2.

We are asked to determine the length of sides a, b, and c. First, we will determine the value of "a" using the exterior right triangle shown in the following diagram:

We will use the function tangent since this is defined as:

Substituting we get:

Solving the operations:

Now, we will determine the value of "b" using the larger triangle, as shown next:

We will use tangent:

Adding like terms:

Now, we solve for "b". To do that, we will invert both sides:

Now, we subtract "4a" from both sides:

Now, we substitute the value of "a":

Solving the operations:

Therefore, the value of "b" is 2.66.

Now, we determine the value of "c". To do that we use the following triangle:

Now, we use tangent:

We multiply both sides by "b":

Substituting the values:

Solving the operations:

Therefore, the value of "c" is 0.71

Answer:

A) 50 km : 45 km : 65 km

B) 18:45:3

Step-by-step explanation:

A) 160 km in the ratio 10:9:13

10:9:3 ⇔ 50 km : 45 km : 65 km

B) 66 in the ratio 6:15:1

6:15:1  ⇔ 18:45:3

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Hello!

Here we could use something called the work equation.

If \(x\) is considered proofing a chapter of the book, we can set up an equation such as, \(\frac{1}{9}+\frac{1}{5}=\frac{1}{x}\).

Then, all we do is solve for it.

\(\frac{1}{9}+\frac{1}{5}=\frac{1}{x}\)

\(5x+9x=45\)

\(14x=45\)

\(x=\frac{45}{14}\)

So working together, it would take them \(\frac{45}{14}\) hours to proof a chapter of the book.

Hope this helps!

Answer: X<7

Step-by-step explanation:

3x+9<30

-9       -9

3x<21

/3    /3

X<7

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔABC and ΔDEF

To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.

Thus,

ΔDEF is filled in the box.

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Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

The better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.

We come across phrases like cost price, tagged price, discount, and selling price when making a purchase. Shop owners give discounts to customers to encourage product sales. Discount is the term used to describe a rebate or an offer made to clients on the listed price of goods.

Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the rebate is typically provided to boost sales or get rid of excess inventory.

Given that, a can of Tab costs R7, 20 at Timber City.

Then 6 packs will cost = 6(720) = R4320

At promotion the cost is R3960 the discount offered is:

D = R4320 - R3960

D = R360

At campus Canteen a can of tab is for R7, 50.

6 packs = 6(750) = R4500

Discount = 4500 - 3900 = R600

Hence, the better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.

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