Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2

Answer:

Reflected across the y axis

Step-by-step explanation:

The sale price of the laptop is $414 after the use of the coupon.

Answer:

$385.00

Step-by-step explanation:

Original Price - Discount = Sale price

Since the discount is 30%, we would multiply 0.30(550) to get the amount of the discount.

0.30(550) = 165

550 - 165 = $385

1 and 7/12 kg of food

A ratio is a comparison of two or more numbers expressed as a fraction, such as 3/4 or 4:5. It is used to compare the size or amount of two or more objects or quantities. Ratios can also be expressed as a percent or as a decimal.

A ratio is a comparison of two or more numbers expressed as a fraction. The ratio is written as two numbers separated by a colon (:), or as a fraction. The numbers in the ratio are compared to each other to indicate the size or amount of the objects or quantities being compared. For example, 3:4 means that for every 3 objects, there are 4 of the other object. This can also be written as a fraction, 3/4, to indicate that for every 3 objects, there are 4 of the other object. Ratios can also be expressed as a percent or as a decimal. For example, 3:4 can be expressed as 75% or 0.75.

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Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

Answer:

y-4=-2/5(x+5)

Step-by-step explanation:

Points slip form is y-y₁=m(x-x₁)

Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule \((x,y) \to (x+9, y)\). We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation \((x,y) \to (x+a, y+b)\) is shortened to the translation vector notation \(< a, b >\). In this case, a = 9 and b = 0.

The statement "if p is less than alpha, reject the null hypothesis" is referring to hypothesis testing in statistics. In hypothesis testing, we compare the p-value (probability value) to a pre-determined significance level called alpha (α). The significance level is typically set to 0.05 or 0.01.

Here's a step-by-step explanation of what this statement means:
1. The null hypothesis (H₀) assumes that there is no significant difference or relationship between variables.
2. The alternative hypothesis (H₁) assumes that there is a significant difference or relationship between variables.
3. We conduct a statistical test and obtain a p-value, which represents the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true.

4. If the p-value is less than the significance level (alpha), we reject the null hypothesis. This means that the observed result is unlikely to have occurred by chance, and we have evidence to support the alternative hypothesis.
5. If the p-value is greater than or equal to alpha, we fail to reject the null hypothesis. This means that the observed result could reasonably have occurred by chance, and we do not have enough evidence to support the alternative hypothesis.

For example, if we set alpha to 0.05 and obtain a p-value of 0.02, which is less than 0.05, we would reject the null hypothesis. This suggests that the observed result is statistically significant and supports the alternative hypothesis. However, if the p-value is 0.06, which is greater than 0.05, we would fail to reject the null hypothesis.

In summary, when p is less than alpha, we reject the null hypothesis, indicating that there is evidence to support the alternative hypothesis.

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The solution for the angle x in the figure is 130 degrees

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

The transversal and the parallel line

By the theorem of vertical angles, we have the following equation

x = 5y

Also, we have the following equation

x = 2y - 78 --- by the theorem of corresponding angles

Substitute x = 2y - 78  in x = 5y

So, we have the following representation

5y = 2y - 78

Evaluate the like terms

3y = 78

Divide both sides by 3

y = 26

Substitute y = 26 in x = 5y

x = 5 * 26

Evaluate

x = 130

Hence, the value of x is 130

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For an F-value of 3.4, the correct p-value is 0.0163 which is evaluated using the statistical tables or software.

Finding the correct p-value for a given F-value of 3.4 requires the use of statistical tables or software. Assuming a two-sided test and a significance level of 0.05, you can use JMP to calculate the p-value as follows:

Open JMP and click Analyze > Match Y to X. 

In the dialog box, select a response variable (eg: sales) and a factor variable (eg: promotion).

Click Options and select ANOVA from the list.

Click Run to generate the ANOVA table. Find the F Ratio and Prob > F columns in the ANOVA table.

The p-values ​​in the Prob > F column correspond to the probability of the F value being observed in the extreme, or observed more extreme than the observed value, given the null hypothesis to be true.

In this case, with an F value of 3.4, degrees of freedom of the numerator 4, and degrees of freedom of the denominator 45 (based on 5 groups and 50 samples in total), the p-value is 0.0163. 

therefore, for an F-value of 3.4, the correct p-value is 0.0163. 

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Answer:

Master product = 36

I'll also add the solutions to the quadratic equation just in case you might need it later:

x = 1 and x = 9/4 (aka 2.25)

Step-by-step explanation:

Currently, 4x^2 - 13x + 9 = 0 is in standard form, whose general equation is

ax^2 + bx + c.  The master product is a set in solving by factoring, where we look for two numbers whose product equals a * c and add up to b.

The a * c is what we call the master product.

Thus, since 4 is a and 9 is c, the master product of our equation is 36 since 4 * 9 = 36

Do you have to solve for x or do you just need the master product.  I'll find x anyhow, but if you just need the master product, just write that.

Steps for solving:

Step 1:  Make sure trinomial is in standard form:

4x^2 - 13x + 9 = 0 is already in standard form, so this step is already given/complete.

Step 2:  Find two terms whose product equals a*c and adds up to b:

In our quadratic, 4 is a, -13 is b, and 9 is c.  We see that 4 * 9 = 36 and -4 * -9 = 36.  Also, -4 + (-9) = -13, so our two numbers are -4 and -9.

Step 3:  Replace bx term with two bx terms that use the numbers from:

Since our two numbers from step 2 are -4 and -9, we can replace -13x with -4x and -9x.  Thus, our new quadratic is 4x^2 - 4x - 9x + 9

Step 4:  Factor by grouping:

We can group 4x^2 -4x and -9x + 9

The greatest common factor of 4x^2 and -4x is 4x.  Factoring it out gives us 4x(x - 1).

The greatest common factor of -9x and 9 is -9.  Factoring it out gives us

-9(x - 1).

Step 5:  Factor out common term and remaining term.

x - 1 is the common term, which leaves us with 4x - 9.

Thus, our equation is now (x - 1)(4x - 9) = 0.

Step 6:  Set each term equal o 0 to solve for x:

Setting (x-1) equal to 0 and solving:

x - 1 = 0

x = 1

Setting 4x - 9 equal to 0 and solving:

4x - 9 = 0

4x = 9

x = 9/4

Thus, the solutions to the quadratic equation are x = 1 and x = 9/4.

Optional Step 7:  Check validity of solutions by plugging in 1 for x and 9/4 for x in original equation in standard form:

Plugging in 1 for x in 4x^2 - 13x + 9 = 0:

4(1)^2 - 13(1) + 9 = 0

4(1) - 13 + 9 = 0

4 - 13 + 9 = 0

-9 + 9 = 0

0 = 0

Plugging in 9/4 for x in 4x^2 - 13 + 9 = 0:

4(9/4)^x - 13(9/4) + 9 = 0

4(81/16) - 117/4 + 9 = 0

81/4 - 117/4 + 9 = 0

-9 + 9 = 0

0 = 0

Thus, our solutions are correct

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

The balance outstanding on the loan immediately after the seventh quarterly payment, using an interest rate of 16% p.a. compounded quarterly and equal quarterly payments, is R$310.39.

To calculate the balance outstanding after the seventh quarterly payment, we need to use the formula for the present value of an ordinary annuity:

P = PMT * (1 - (1 + r)^(-n)) / r

Where:

P = Principal amount of the loan (R$1,000)

PMT = Equal quarterly payment

r = Interest rate per period (16% p.a. compounded quarterly = 4% per quarter)

n = Number of periods (10 payments)

First, we calculate the equal quarterly payment (PMT) using the present value of an ordinary annuity formula rearranged to solve for PMT:

PMT = P * (r / (1 - (1 + r)^(-n)))

PMT = 1000 * (0.04 / (1 - (1 + 0.04)^(-10))) = R$129.09

Next, we calculate the balance outstanding after the seventh quarterly payment. We can consider it as the present value of the remaining three payments:

Balance = PMT * (1 - (1 + r)^(-n_remaining)) / r

Where: n_remaining = Number of remaining payments (10 - 7 = 3)

Balance = 129.09 * (1 - (1 + 0.04)^(-3)) / 0.04 = R$310.39

Therefore, the balance outstanding on the loan immediately after the seventh quarterly payment is R$310.39.

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Answer:

Step-by-step explanation:

Diameter (D)= 42cm

Circumference = (pie)D= (22/7)*D=(22/7)*42 = 132cm

1 circumference = 1 revolution

1 revolution = 132cm = 1.32m

for covering 5.28km no. of revolution = 5.28*1000/1.32 = 4000

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer: B

Step-by-step explanation:

Answer: This is where the answer is undefined

Step-by-step explanation:

Edge 2022 :)

Answer: 5th option

Step-by-step explanation:

edge 2023

The person that will finish the series first is;

Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Total pages manish has read as at today = 544 pages

He reads at the same pace and after 8 days he has read 928 pages. Thus, the equation that represents the number of pages that Manish has read is; 928 = 8m + 544

922 - 544 = 8m

m = 378/8

m = 47.25

Thus, his rate is 47.25 pages per day

The equation for Ravi is y = 51x + 594

This shows a rate of 51 pages per day

Thus, Ravi will finish first

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Answer:

57/30 =t

Step-by-step explanation:

d = rt

Let d = 57 and r = 30

57 = 30 t

Divide each side by 30

57/30 = 30t/30

57/30 =t

Answer:

t=1.9

Step-by-step explanation:

d=rt, so t=d/r

t=57/30

t=1.9

Answer:

x = 0

Step-by-step explanation:

\(\frac{1}{3} (6x-5)-x=\frac{1}{3} -2(x+1)\)

We will be using the Distributive Property shown below:

5(x+1) = 5x+5

Distribute 1/3 and -2:

\(\frac{6}{3} x-\frac{5}{3}-x=\frac{1}{3} -2x-2\):

Combine Like Terms:

\(x-\frac{5}{3} =-2x-\frac{5}{3}\)

Add 2x to both sides:

\(3x-\frac{5}{3} =-\frac{5}{3}\)

Add 5/3 to both sides:

\(3x=0\)

Divide both sides by 3:

\(x=0\)

Answer:

-20

Step-by-step explanation:

-15 - 5 is -20.

I hope that this helps! :)

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

The given inequality: y < 0.5x + 2

The coordinates of they satisfy the given inequality than they are the solutions of the inequality y < 0.5x + 2

Plot the given points on the given line, The points which are passes through the line is the solution of the given inequality:

The point (-1,2)

The points doenot pss through the line and lie in the shaded region

So, (-1,2) are not the solution of the given inequality:

Solution are :(-2, 1)

(1, -2)​

Answer :

(-2, 1)

(1, -2)​

Answer:

if i didnt get anything mixed up it would be A. dependent

Step-by-step explanation:

When the outcome affects the second outcome, which is what we called dependent events. Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event.

Answer:117 feet

Step-by-step explanation:

There are 12 inches in 1 foot

Multiply 12 x 9 which equals 108

Since you have a decimal, you take 75% of 12 which is 9, and add that to your inches

108 + 9 = 117

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Answer:

I think it’s a

Step-by-step explanation:

On edge

Check the picture below.