Find a given that the line through M(-2, a) and N(0, -2) has gradient -4

The slopes of two parallel lines are the same, while the slopes of two perpendicular lines are the opposite reciprocals of each other. Each line has infinitely many lines that are parallel to it and infinitely many lines that are perpendicular to it.

P.S hopes this helps

Given:

There are given that the spinner with 5 equal parts numbered 1 to 5.

Explanation:

In the given spinner, there are given the number: 1, 2, 3, 4, 5.

Now,

From all the given numbers, there are 3 odd numbers: 1, 3, and 5.

So,

From the probability:

Then,

Now,

For the percentage:

Final answer:

Hence, the correct option is C.

1) Considering that there are 150 students

A) Adding 24+39 we got 63 students

150------------100%

63 ----------- x

x=6300/150

x= 42% of the students passed Math.

B) Adding the number of those students who live off-campus 39 +21

150 ----------------100%

60------------------ y

y=6000/150

y=40%

C) 60 students live off-campus 39 succeded. So we can write

60 --------- 100%

39 --------- z

z= 3900/60

z=65% passed math (off-campus)

D) Comparing that 65% of students who live off-campus passed math and that among those who live on campus and that 58% of all students failed

Then we can state:

A)

Answer:

it would be the same since reflection doesn't change the andle

Answer:

A: It would have the same measure as the original angle.

Step-by-step explanation:

Well, reflecting is where you take the original image, which you see now, and flipping it like a mirror image. So, I think the answer would be: A It would have the same measure as the original angle. Because, it is literally the same thing, just in a mirror image. Like, if you look in the mirror, you see yourself, still the same.

First let's calculate the absolute error by subtracting both values:

So the absolute error is 8.7 millions.

Now, in order to find the percent error, we just need to divide the absolute error by the number of games sold:

So the percent error is 71.31%.

Given the word problem, we can deduce the following information:

The zeroes are: 4, 3, 8

To determine the polynomial function P(x) with the given zeroes, we follow the process as shown below:

We first expand (x-4)(x-3):

Next, we expand (x^2-7x+12)(x-8):

Hence,

Therefore, the polynomial function is:

Answer:

Histogram Tells you how many pumpkins had mass below 6 kg

The box plot can be used to determine that the median was 8

Explanation:

A histogram is a chart the plots frequency of a certain quantity.

In our case, the histogram given tell us how many pumpkins fall within a certain mass range. Therefore, to find out how many pumpkins are below 6 kg, we use a histogram.

On the other hand, the box plot summarizes the numerical data. In our case, it can be used to find the median weight of the pumpkins by just reading off the position of the median line.

The Distributive Property holds as both sides of the given equality are equal.

The distributive property means that the outer time of the expression multiplies each of the inner terms of the expression. Then, these terms may be combined, if they contain like-terms.

The left-hand side of the expression is given as follows:

2/5(4/3 - 1/3).

Applying the distributive property, it is found that:

Subtracting them, it is found that:

2/5(4/3 - 1/3) = 8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

The right-hand side of the expression is:

2/5 x 4/3 - 2/5 x 1/3

Multiplication takes precedence over subtraction, hence:

2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15

Same denominator, hence the numerators can be subtracted as follows:

8/15 - 2/15 = 6/15 = 2/5. (as both 6 and 15 are divided by 3).

Both sides of the expression have the same value, hence the distributive property holds for this problem.

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The circumference of circle with diameter 6 feet will be 6π feet.

According to the question,

We have the following information:

Diameter of the circle = 6 feet

Now, we will find the radius of the circle. We know that the radius of the circle is half that of its diameter.

Radius of the circle = Diameter/2

Radius of the circle = 6/2 feet

Radius of the circle = 3 feet

We know that the following formula is used to find the circumference of the circle:

Circumference of the circle = 2πr

Circumference of the circle = 2π*3

Circumference of the circle = 6π feet

Hence, the circumference of the circle is 6π feet.

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Answer: Should Clare's or the doctor's measurement be considered the actual height? In this scenario I believe its the doctors measurements. This is because she could have used a measuring tape and had someone measure her height. The measuring tape may not be accurate due to how it would be used to measure her height. So the doctor's should because they don't measure you, they use a measuring tape/ stick that is attached to the wall. That is why I think the doctor's is the actual height.

(I used RACE format)

Answer:

20% means divide by 5 so 100 * 5 = 500

Step-by-step explanation:

because 20% of 500 is 100

Hello!

Original Question: 20% of blank = 100

 ⇒ 20% = [tex]\dfrac{20}{100} =0.2[/tex]

    ⇒ 0.2 of blank ⇒ 0.2 * blank = 100

Let's solve:

   [tex]0.2 *\text{blank}=100\\\\blank = \dfrac{100}{0.2} = 500[/tex]

Thus blank is 500!

Answer: 500

Hope that helps!

the coefficients are the numbers that accompany a variable on this case we have 2 variables y and n so the numbers that accompany each one are 1 for y and 6 for n

so there area 2 coefficients 1 and 6

the constant are the numbers without a variable on this case only the 2

The North zone at the football stadium has 95 rows.

There are 48 seats in a row.

How many people will the North end zone seat​?

Since there are 95 rows and each row has 48 seats, multiply them to get the total number of seats.

Therefore, there are 4560 people sitting in the North zone.

From the blurry picture shown, we can concur that:

x and 123.25 degree angle are interior corresponding angles.

They add up to 180 degrees, thus we can write the equation:

We can now easily solve for x:

The solution:

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

So, we can use the latter parts to solve this

B = ?

b = 4.0

C = 58°

c = 3.5

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

Given -

The odds against winning a prize in the raffle = 9:1

To Find -

Probability of winning prize =?

Step-by-Step Explanation -

Total possible outcome = 9 + 1 = 10

Favourable outcome = 9

So,

Probability = Total outcome / Favourable outcome

Probability = 9/10 = 0.9

Final Answer -

Probability of winning prize = 0.9

Given Data:

The sale price of the jeans is: s=$30

The discount is: d=20%

The expression to calculate the original price is,

Here P represents the original price.

Thus, the original price of the jeans is $150.

ANSWER

The cofunction of tan 36 degrees is cot 54 degrees

STEP-BY-STEP EXPLANATION

Given information

Co function of tan can be written below as

Therefore,

tan 36 = 0.7265

cot 54 = 0.7265

Hence, the cofunction of tan 36 is cot 54

Given:

Distance of her beagle = 25/4 meters to the right

Distance of her labrador = 51/20 meters directly to her left.

Let's determine the expression which represents how far apart the two dogs are.

We have the following:

Since the beagle is to the right, the distance is = 25/4 meters

Since the labrador is to the left, the distance is = -51/20 meters.

Now, to find how far apart the two dogs are, let's use the absolute value expression:

Therefore, the expression which represents how far the two dogs are is:

ANSWER:

316.21 is the savings plan balance after 6 months with an APR of 8% and monthly payments of $300.

percentage, a relative value indicating hundredth parts of any quantity.

We need to find the savings plan balance after 8 months with an APR of 8% and monthly payments of $300.00.

Let 8% is changed to decimal value by dividing with hundred.

8/100=0.08.

Now we are required to find the growth factor.

growth factor = (1 + (0.08  / 12))   per month   = 1.00667

After 9 months, the balance is

($300.00)*(1.00667)8

316.21 is the balance after 6 months.

Hence 316.21 is the savings plan balance after 6 months with an APR of 8% and monthly payments of $300.

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Solution

- The cost of the crops are $(a) for tomatoes, $(b) for eggplants, and $(c) for potatoes.

- We simply need to follow the statements about the farmer's pricing in order to determine the correct set of equations.

Statement 1:

- "1 tomato, 1 eggplant, 2 potatoes for $10"

- If there is 1 tomato, it implies that, this tomato is priced at $(a). Similarly, 1 eggplant would be priced at $(b), but 2 potatoes would be $(c) + $(c) = $2(c).

- We are told that the total cost for this package is $10.

- Thus, the first equation must be:

- We can interprete the other packages in a similar manner.

Statement 2:

"2 tomatoes, 1 eggplant, 3 potatoes for $14"

- This implies that the farmer would price the packages as follows:

2 tomatoes: 2(a)

1 eggplant: 1(b)

3 potatoes: 3(c)

- Since the total cost is $14, we can write the second equation as follows:

Statement 3:

"4 tomatoes, 3 eggplants, 5 potatoes for $20"

- This implies that the farmer would price the packages as follows:

4 tomatoes: 4(a)

3 eggplants: 3(b)

5 potatoes: 5(c)

- Since the total cost is $20, we can write the third equation as follows:

Final Answer

The 3 equations are:

OPTION C

The given points are (5, 1) and (-3, 17).

First, we have to find the slope using the following formula.

Where,

Let's use the coordinates above to find the slope.

The slope is -2.

Now, we use the point-slope formula to find the equation.

Let's use the same coordinates x_1 and y_1, and the slope m = -2.

Now, we solve for y to express the equation in slope-intercept form.

SOLUTION:

Step 1:

In question 12, we are meant to find the line of reflection for Triangle ABC and its image based on the diagram:

Step 2:

The line of reflection for Triangle ABC and its image is:

Answer:

DJ = 24

Explanation:

We are told from the question that J is the centroid of CDE, this means that J is the midpoint of DH, CJ and FE

If J is the centroid of DH, then 2DJ = JH

Also DJ + JH = DH

The equation becomes:

DJ + 2DJ = DH

3DJ= DH

Given

DH = 72

Hence 3DJ = 72

DJ = 72/3

DJ = 24

Hence the measure of DJ is 24

A trinomial has three terms. The first term contains the squared variable, the second term contains the variable with an exponent of 1, and the third term does not have any variable. That term is called the independent term.

In the polynomial:

The term -20 is the independent term because it does not depend on the value of the variable x.

Given:

The radius , r=20 ft.

The height , h=23 ft.

The volume of the cylinder can be calculated as,

Therefore, the volume of the cylinder is 28902.65 sq.ft.

The volume of the cone can be calculated as,

Therefore, the volume of the cone is 9634.22 sq.ft.

The angle formed outside the circle by the intersection of a tangent and a secant is equal to half of the difference of the intercepted arcs. The bigger arc is 180º, because the starting point of the secant and the starting point of the tangent are precisely on the opposite position of each other(we can see that by counting the same amount of seats between them on both sides). The smaller arc is equal to 90º, therefore

we can write equations from the statements

a washer and dryer cost 1001 combined

where w is the price of the washer and d the price of the dryer

the washer costs 51 more the than the dryer

then we can replace the value of w from the second equation to the first equation

and solve for d

the cost of the dryer was $475

A linear equation is written in the form

it is the Slope-intercept form

Solution

Step 1

Write the two functions:

Step 2

(f- g)(x) = f(g) - g(x)

Final answer

D. x² +3