Need help! Will be appreciated

Answer:

\(y=-\dfrac{1}{2}x-3\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Given equation:

\(y=-\dfrac{1}{2}x+1\)

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation is:

\(m=-\dfrac{1}{2}\)

Substitute the found slope and given point (-4, -1) into the point-slope formula:

\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)

\(\implies y+1=-\dfrac{1}{2}(x+4)\)

\(\implies y+1=-\dfrac{1}{2}x-2\)

\(\implies y=-\dfrac{1}{2}x-3\)

Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:

\(\boxed{y=-\dfrac{1}{2}x-3}\)

Answer:

Step-by-step explanation:3% of $10,000 is $300.

The first step in finding the incenter of the triangle, JKL using paper folding is to Fold the paper so that the legs of ∠K overlap.

The first step in using the paper folding method is to fold the paper so that the legs of the triangle overlap.

Then unfold the paper and draw a line at the crease you find. This will allow you to label the point of intersection after you do the same for all the sides of the triangle. This point is the incenter.

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Using trigonometric ratio, the distance of the bird is 21.8m

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

To solve this problem, we have to use trigonometric ratio of SOHCAHTOA

Let's define the variables given;

Using Tangent of an angle;

tanθ = opposite / adjacent

tan 36 = x / 30

Cross multiply both sides and solve for x

30 tan36 = x

21.8 = x

The distance above the ground from the bird is 21.8 meter.

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Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer:

  4

Step-by-step explanation:

Put 2 where x is and do the arithmetic.

  f(2) = 10 -3∙2 = 10 -6

  f(2) = 4

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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Answer: $24

Step-by-step explanation:

Since the popcorn combos are the same amount, we are essentially calculating the difference between 6 adult tickets and 6 student tickets.

6 adult tickets are $10*6 = $60, while 6 student tickets are $6*6 = $36.

60-36= $24

Answer: Statement 1 is false.

Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.

The number of hours charged by electrician is 6.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

Given that,

The one time charge of electrician is $29.95.

And, the charge per hour is $62.50.

The total money charged by electrician is $404.95.

Suppose the number of hour be x.

Then, for the given case following equation can be made,

62.50x + 29.95 = 404.95

=> 62.50x = 404.95 - 29.95

=> 62.5x = 375

=> x = 6

Hence, the electrician charged the customer for 6 hours.

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Answer:

16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

\(\textsf{Given}:\)

\(-\sqrt{256}\)

\(\textsf{As $16 \cdot 16 = 256$, rewrite $256$ as $16^2$}:\)

\(\implies -\sqrt{16^2}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies -16\)

Given:

\(\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)\).

To find:

The expression, which is equivalent to the given expression.

Solution:

We have,

\(\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)\)

\(=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}\)         \([\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}]\)

\(=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}\)         \([\because a^2-b^2=(a-b)(a+b)]\)

Cancel out the common factors.

\(=\dfrac{1}{1+\cos (x)}\)

Therefore, the correct option is C.

    Given question is incomplete; find the complete question in the attachment.

    Simplified form of the given trigonometric expression will be represented by Option C.

Given expression is,

\([\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}\) [Since. \(\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}\)]

                          \(=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}\)

                          \(=\frac{1}{1+\text{cosx}}\)

   Therefore, Option C will be the correct option.

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Answer:

The answer would be D

Step-by-step explanation:

The inequality x>1.5, or x is greater than 1.5, has to have a line going to the right because x has to be greater than 1.5, so answers B and C can't be it. Because the symbol is greater than instead of greater than or equal to, the circle will be open, and the circle for option A is closed, so the answer is D

Answer:

5/11

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

:5/11

I got it right on my test.

x  ≤  −  4

Step-by-step explanation:

Answer:

x ≤ -4

Step-by-step explanation:

16x − 7 ≤ − 71

Add 7 to both sides.

16x ≤ -64

Divide both sides by 16.

x ≤ -4

Answer:

9n + 2

Step-by-step explanation:

Answer:

\(9p+2\)

Hope This Helps! Please give Brainliest!

Answer:

4.48×4.77

= 20.0256 kilograms

Answer:

C

Step-by-step explanation:

Well, the easiest way is to just plug in the numbers until they work :)

But if not, first notice \(x^2\) as a common factor.

\(x^5-3x^2+3x^3-x^2=0\)

\(x^2(x^3-3+3x-1)\)

\(x^2(x^3+3x-4)\\\\x^2(x+1)(x^2-x+4)\\\)

Notice the leap in steps. I would be surprised if any teacher gave this question as a means to test your ability to factor though, it isn't easy for sure. Adding on, you cannot go further in this as 0, 1, and some imaginary numbers will be solutions.

Answer:

d. 6(8+5)

Step-by-step explanation:

First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30

so you would get 48+30

therefore, d is true

Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78

Step-by-step explanation: Hope this help:D

Answer:

X=29

Step-by-step explanation:

Sin62=x/33

X=29.137≈29

Answer:

slope-intercept

Step-by-step explanation:

it looks similar to y=mx+b

I hope it's correct

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

Answer:

Answer:

5x + 6

Step-by-step explanation:

(f-g)(x) is nothing but f(x) - g(x)

f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]

Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.

The tortoise travelled the maximum distance of 9 m estimated from the time graph journey of a tortoise.

Distance-time graphs demonstrate how a moving object's distance travelled varies over time.

For the stated time graph of the journey of tortoise.

On x axis - time taken.

On y axis - distance covered by the tortoise.

Thus, the maximum distance is covered by the tortoise is 9 m at the time of 3 minutes.

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Answer: 45,000.

Step-by-step explanation:

The equation of inverse variation is given by:-

\(k=xy\)

, where k is the constant of proportionality.

Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.

Here,

\(x_1=3,\ y_1=15000\\\\x_2=5,\ y_2=9000\)

Then, \(k=x_1y_1=3\times15000=45,000\)

or \(k=x_2y_2=5\times9000=45,000\)  [answer is same in both cases.]

Hence, the constant of proportionality in this inverse variation is 45,000.

The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5.

The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5.

A) f(3) = 5

C) lim f(x) = 5

x-->3

The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5. This means that the limit of f(x) as x approaches 3 is 5, so C) lim f(x) = 5 x-->3 must be true. Additionally, since the values of f(x) approach 5 as x approaches 3, it follows that f(3) must also equal 5, so A) f(3) = 5 must be true as well. D) lim f(x) = 3 x-->5 is not true since the limit of f(x) as x approaches 5 is not 3. Similarly, B) f(5) = 3 is not true since f(5) does not necessarily equal 3.

The statements A) f(3) = 5 and C) lim f(x) = 5 x-->3 must be true for the given function.

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The answer of the given question based on the Velocity is,  times are t = 1.00 seconds and t = 0.12 seconds, respectively.

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. In other words, it tells us how fast and in what direction an object is moving. Velocity is typically measured in units of distance per time, such as meters per second (m/s) or feet per second (ft/s).

To find the time(s) when the ball's height is 7 feet, we can substitute h = 7 into the equation for the ball's height and solve for t:

7 = 3 + 17t - 16t²

Rearranging and setting the equation equal to zero, we get:

16t^2 - 17t + 4 = 0

We can solve for t by using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a = 16, b = -17, and c = 4. Plugging in these values, we get:

t = (-(-17) ± √((-17)² - 4(16)(4))) / 2(16)

t = (17 ± √(225)) / 32

t = (17 + 15) / 32 or t = (17 - 15) / 32

t = 1 or t = 1/8

Therefore, the ball's height is 7 feet at times t = 1 second and t = 1/8 seconds. Rounded to the nearest hundredth, these times are t = 1.00 seconds and t = 0.12 seconds, respectively.

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Answer:

B

Step-by-step explanation:

if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero

   y = mx + b      m the slope equals 1

   y = x +2