help me with this please

Answer:

y= - 1/4x

Step-by-step explanation:

The equation of the line passing through that point with the required slope is y=2x+3.

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope (\(m^p)\) of a line perpendicular to a line with slope (\(m^p)\) is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

\(m^p\)=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

To learn more about slope, refer;

https://brainly.com/question/3605446

#SPJ2

The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other

A composite figure is a figure that is produced from the combination of two geometric shapes together.

The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.

For the left-side right-angled triangle, we have:

13² = h² + 5²

h² = 13² - 5²

h = √(169-25)

h = 12

Recall from the diagram that:

h² = pq

∴

12² = 5x

x = 144/5

x ≅ 28 millimeters

Learn more about composite figures here:

https://brainly.com/question/15981553

#SPJ1

Let's assume that the amount of ice cream in each float is "x" ounces. Since Devan makes two equal floats, the total amount of ice cream used is 2x ounces. Each float contains 10.5 ounces of ice cream.

According to the given information, the total weight of the two floats (including the root beer and ice cream) is 31 ounces. This can be expressed as:

10 ounces (root beer) + 2x ounces (ice cream) = 31 ounces

To find the amount of ice cream in each float, we can solve this equation for "x":

2x + 10 = 31

Subtracting 10 from both sides:

2x = 31 - 10

2x = 21

Dividing both sides by 2:

x = 21 / 2

x = 10.5

Therefore, each float contains 10.5 ounces of ice cream.

To learn more about float visit:

brainly.com/question/11383529

#SPJ11

The probability of choosing a blue or yellow highlighter when a yellow highlighter is picked is 17/25.

Here, according to the question:

Total number of yellow highlighters  = 12

Total number of blue  highlighters  = 6

Total number of green highlighters  = 4

Total number of orange  highlighters  = 3

∴ Total number of highlighters  =  12 + 6 + 4 + 3  = 25

Let E1: Event of selecting yellow highlighter.

P(E1) = \(\frac{Total number of yellow highlighters}{Total highlighters}\) = \(\frac{12}{25}\)

Let E2: Event of selecting blue or yellow highlighter one yellow highlighter is selected.

∴Total yellow highlighters left after selecting one = 12 -1  = 11

Also, the number of blue highlighters = 6

So, the TOTAL FAVORABLE to E2 = 6+ 11 = 17

P(E2)  = \(\frac{Total number of yellow + blue highlighters}{Total highlighters}\) = \(\frac{17}{25}\)

Hence, The probability of choosing a blue or yellow highlighter when a yellow highlighter is picked is 17/25.

Read more about probability :

https://brainly.com/question/13604758

#SPJ4

We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

Know more about the expression here:

https://brainly.com/question/723406

#SPJ11

Answer:

Step-by-step explanation:

The required inequality x + m ≤ 510, and the distance is 316 miles.

Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.

Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.

Let,

x miles = distance already traveled

m miles = distance miles can travel with remaining gas

510 = max. miles can travel on a full tank

As per the given question,

The inequality will be written as,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

Apply the subtraction operation, and we get

m ≤ 316

Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.

To learn more about inequality click here:

brainly.com/question/20853131

#SPJ2

When x = 4, y is equal to 2.25. The correct answer is: C) 2.25

If y varies inversely as x, it means that as x increases, y decreases, and vice versa, while their product remains constant.

We can set up an equation to represent the inverse variation:

y = k/x

Where k is the constant of variation.

To find the value of k, we can use the given information that when x = 3, y = 3:

3 = k/3

Multiplying both sides by 3, we get:

9 = k

Now we can use this value of k to find y when x = 4:

y = 9/4

Simplifying, we have:

y = 2.25

Therefore, when x = 4, y is equal to 2.25.

The correct answer is:

C) 2.25

It's important to note that in an inverse variation, as x increases, y decreases, and as x decreases, y increases. The relationship is not linear, but rather, the product of x and y remains constant. Option C.

For more such questions on equal visit:

https://brainly.com/question/25770607

#SPJ8

Each group will have painted 9 kilometers of the bridge. It will take 5 days for the two groups to reach this point.

Let's denote the number of days as "d". The distance painted by the first group can be represented as 4 + 2d kilometers, and the distance painted by the second group can be represented as 5 + d kilometers.

To find the point at which both groups have painted the same amount of the bridge, we set their distances equal to each other:

4 + 2d = 5 + d.

Simplifying the equation, we get:

d = 1.

This means that after 1 day, both groups will have painted the same amount of the bridge. To find the distance they will have painted, we substitute d = 1 into either expression. Let's use the first group's distance:

Distance painted by each group = 4 + 2d = 4 + 2(1) = 6 kilometers.

Therefore, each group will have painted 6 kilometers of the bridge when they meet, and it will take 1 day for them to reach that point.

To know more about distances, refer here:

https://brainly.com/question/31713805#

#SPJ4

Answer:

20=24

8. =? Cross multply

Answer:

B.

Step-by-step explanation:

-20 = -1/20

I HOPE YOU UNDERSTAND!!! ^u^

Answer:

C

Step-by-step explanation:

Third table  represents the second piece of the function f(x)

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given function is given by -3.5x+0.5, x<1 and 8-2x≥1

The second piece of the function f(x) is 8-2x ,x≥1

Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.

For x = 1

f(1)=8-2(1)=6

f(1)=6

For x = 2

f(2)=8-2(2)=4

f(2)=4

For x = 3

f(3)=8-2(3)=2

f(3)=2

Among the given tables, third tables contains these values.

Hence, Third table  represents the second piece of the function f(x)

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

The range of acceptable values for the golf ball diameter is from 42.668 mm to 42.672 mm.

To determine the range of acceptable values for the golf ball diameter, we need to consider the maximum allowable discrepancy from the standard diameter. Given that the standard diameter is 42.67 mm and the inspector decides to stop production if the discrepancy is more than 0.002 mm, we can calculate the range of acceptable values as follows: Upper limit: Standard diameter + Maximum allowable discrepancy. Upper limit = 42.67 mm + 0.002 mm = 42.672 mm. Lower limit: Standard diameter - Maximum allowable discrepancy. Lower limit = 42.67 mm - 0.002 mm = 42.668 mm. Therefore, the range of acceptable values for the golf ball diameter is from 42.668 mm to 42.672 mm.

Any diameter measurement within this range will be considered acceptable, while measurements outside this range would indicate a discrepancy and result in the inspector stopping production.

To learn more about  diameter click here: brainly.com/question/31445584

#SPJ11

The probability that a randomly selected adult has an IQ greater than 133.2 is 0.0436 or 4.36%.

To find the probability that a randomly selected adult has an IQ greater than 133.2, assuming adults have IQ scores that are normally distributed with a mean of 97.6 and a standard deviation of 20.9, follow these steps:

1. Calculate the z-score: z = (X - μ) / σ, where X is the IQ score, μ is the mean, and σ is the standard deviation.
  z = (133.2 - 97.6) / 20.9
  z ≈ 1.71

2. Use a z-table or a calculator to find the area to the left of the z-score, which represents the probability of having an IQ score lower than 133.2.
  P(Z < 1.71) ≈ 0.9564

3. Since we want the probability of having an IQ greater than 133.2, subtract the area to the left of the z-score from 1.
  P(Z > 1.71) = 1 - P(Z < 1.71) = 1 - 0.9564 = 0.0436

So, the probability that a randomly selected adult has an IQ greater than 133.2 is approximately 0.0436 or 4.36%.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer:

It should be around 10.536

Step-by-step explanation:

For this one, I'm pretty sure you divide the speed value by 5

Answer:

3(x - 10)

Step-by-step explanation:

3x - 30 = 3(x - 10)

Hii!

__________________________________________________________

Answer:

3(x-10)

Step-by-step explanation:

Note that both terms, 3x and -30, have a 3 in common. This is called the greatest common factor, or g.c.f.

The g.c.f. of 3x and -30 is 3. So we divide both 3x and -30 by 3, and obtain

x-10

Put parentheses around x-10

(x-10)

Next, put 3 outside the parentheses

3(x-10)

--

Hope that this helped! Best wishes.

--

Answer:

5k + 9

Step-by-step explanation:

3k + 4 + 2k + 5 =

= 5k + 9

The theme developed in the excerpt is average teamwork and support. Reid's willingness to help Crystal clean up the mess together is an example of how working together can help solve a problem.

The theme developed in the excerpt is teamwork and support. Reid's willingness to help Crystal clean up the mess together is an example of how working together can help solve a problem. It demonstrates the importance of having someone to lean on when in need. Reid does not scold or punish Crystal for the mess, but instead acts as a partner in helping her clean it up. He even goes as far as to get the supplies needed to tackle the issue. Through his actions, Reid is showing Crystal that she can rely on him in difficult situations. This demonstrates the power of teamwork and how it can help in times of need. It also emphasizes the value of support and how having someone to lean on can make any situation more manageable. Reid's actions are a great example of the importance of teamwork and support.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

Answer:

D

Step-by-step explanation:

(2*6)^4=20736

2^4*6^4 is the same as the expression which is equal to 20736

The required order of solution for the given system equation,
1 No solution
2 Many solutions
3 One solution
4 No solution

Given a system of equations,
(1)

y = 5x + 7
3y -15x = 18

Since the slope of the equations are equal so this equation has no solution

(2)

x - 2y = 6
3x - 6y = 18
Since the slope of the equations is equal and also has an equal intercept so this equation has many solutions.

(3)

y=3x+6
y = -1/3x - 4
The slope of the equation of this line is the negative reciprocal of the other implying these lines are perpendicular to each other and have one solution.

(4)
y = 2/3x -1
y = 2/3x -2
Since the slope of the equations is equal so this equation has no solution.

Learn more about the solution to the equation here:

https://brainly.com/question/14603452

#SPJ1

it’s on the bottom ~~~

Answer:

5x+3x+6>14

8x>14-6

8x>8

divide both sides by 8

x>1

Answer:

Z=pd+59/2-p

Step-by-step explanation:

2z-pd-pz-59=0

2z-pz=pd+59

z(2-p)=pd+59

z=pd+59/2-p

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

Answer:

write the questions properly and make it sure that the question is right

Answer:

yes

Step-by-step explanation:

i think

its represent the value of 1/2

The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

To learn more about critical point visit:

https://brainly.com/question/29144288

#SPJ11

Answer:

-13 - 5i

Step-by-step explanation:

\(( - 1 + 2i) - (12 + 7i) \\ - 1 + 2i - (12 + 7i) \\ - 1 + 2i - 12 - 7i \\ - 13 + 2i - 7i \\ = - 13 - 5i\)

Answer:

\(→( - 1 + 2i) - (12 + 7i) \\ = - 1 + 2i - 12 - 7i \\=-1-12+2i-7i \\ = \boxed{ - 13 - 5i}✓\)

Answer: Probably D not sure though

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation g(x) = f(x-6) = 10(x-6) states that the graph is shifted to the left 6 units ( hints the -6)