correctly describe the slope of the graph of 2x + 5y = 6?

Given:

The expressions are:

[tex](5x-3y)[/tex] and [tex](8x+8y)[/tex]

To find:

The difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex].

Solution:

Difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is written as:

[tex]Difference=(5x-3y)-(8x+8y)[/tex]

On simplification, we get

[tex]Difference=5x-3y-8x-8y[/tex]

[tex]Difference=(5x-8x)+(-3y-8y)[/tex]

[tex]Difference=-3x-11y[/tex]

Therefore, the difference of [tex](5x-3y)[/tex] and [tex](8x+8y)[/tex] is [tex]-3x-11y[/tex].

Answer:

3a-b

3×4-6 solve by using the rules of BODMAS

12-6

6(ans)

Hope it helps

Answer:

The correct answer is C

Step-by-step explanation:

In a function, no two ordered pair has the same first element. if you check all the Rest, they have one or more two ordered pairs having the same first element. But C has unique first ordered elements, -1, 4, 1 and -3

As a block of ice melts, its weight changes from 1 3/4 lb to 1/4 lb. This change takes 1/4 h. The ice melts at a constant rate. At what rate does the weight of the ice change?

You should have these values backwards like:-

=>  1/34 lb is less than 1/4 lb.

Next:-

We're gonna find a specific common denominator,

Then we get: (17/68 - 2/68)/(1/4) = 60/68 = 15/17 lb/hour

___________________________

[tex]\huge{ \mathfrak{ \underline{ Answer}}} \: \: ✓ [/tex]

____________________________

Change in weight :

_____________________________

Time taken to melt :

_____________________________

Rate of change in weight of ice :

The rate of change in weight of Ice is 6 lbs per hour ( 6 lb / h )

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

Center: (-1,-3)

Radius: 4.12 units

Step-by-step explanation:

Hi there!

1) Find the center of the circle

When given two diameter endpoints, we can find the center of the circle by calculating for the midpoint since the center lies in the middle of the points:

Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the diameter endpoints (3,-2) and (-5,-4)

[tex](\frac{3+(-5)}{2} ,\frac{-2+(-4)}{2})\\(\frac{3-5}{2} ,\frac{-2-4}{2})\\(\frac{-2}{2} ,\frac{-6}{2})\\(-1,-3)[/tex]

Therefore, the circle is centered at (-1,-3).

2) Find the radius of the circle

The radius of a circle is the distance between the outside edge and the center. We can find the radius by calculating for the distance between the center of the circle and one of the diameter endpoints.

Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the center (-1,-3) and a diameter endpoint (3,-2)

[tex]d=\sqrt{(3-(-1))^2+(-2-(-3))^2}\\d=\sqrt{(3+1)^2+(-2+3)^2}\\d=\sqrt{(4)^2+(1)^2}\\d=\sqrt{16+1}\\d=\sqrt{17} \\d=4.12[/tex]

Therefore, the radius of the circle is approximately 4.12 units when rounded to the nearest hundredth.

I hope this helps!

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Since lines [tex]\overrightarrow{f}[/tex] and [tex]\overrightarrow{g}[/tex] are parallel, the angles labelled in the diagram must be supplementary (add up to [tex]180^{\circ}[/tex]). Therefore, we have the following equation:

[tex]4x+(7x+26)=180,\\11x+26=180,\\11x=154,\\x=\boxed{14}[/tex]

Answer:

[tex]\frac{(x-4)^2}{49}+\frac{(y-4)^2}{24}=1[/tex]

Step-by-step explanation:

Because the vertices are on the same horizontal line and so are our foci, this is our major axis for a horizontal ellipse.

Horizontal Ellipse:

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

a>b

Major axis length: 2a

Minor axis length: 2b

Center: (h,k)

Foci: (h±c,k) where a²-b²=c²

We can easily find the center of the ellipse by finding the midpoint of our vertices (-3,4) and (11,4) which works out to be (4,4)

Because our foci must be (-1,4) and (9,4) this means (4±c,4) represents our foci. We can easily see that c=5 since (4-5,4) -> (-1,4) and (4+5,4) -> (9,4).

Knowing that c=5, we need to determine our values for a and b to satisfy the equation a²-b²=5². Our vertices are located on the major axis, which will help us in finding the value of a. The distance between the two vertices will be the length of the major axis, which will be |11-(-3)| = 14. Additionally, because the length of the major axis is equal to 2a, this means 2a=14 where a=7. Now we can solve for b with our equation 7²-b²=5² where b=√24.

In conclusion, our ellipse would be:

[tex]\frac{(x-4)^2}{7^2}+\frac{(y-4)^2}{\sqrt{24}^2}=1[/tex]  which works out to be [tex]\frac{(x-4)^2}{49}+\frac{(y-4)^2}{24}=1[/tex]

The equation of ellipse with  vertices (-3, 4), (11, 4) and foci (-1, 4), (9.4) is

(x-4)^2/49 + (y-4)^2/24 = 1

The standard equation of an ellipse centered at (h, k) with a major axis parallel to the x-axis is given by:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where the coordinates of the vertex are (h±a, 0), coordinates of co-vertex are (h, k ± b) and the coordinates of foci are (h±c, k), where a² = c² + b².

here, we have,

Because the vertices are on the same horizontal line and so are our foci, this is our major axis for a horizontal ellipse.

Horizontal Ellipse:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where,

a>b

Major axis length: 2a

Minor axis length: 2b

Center: (h,k)

Foci: (h±c,k) where a²-b²=c²

We can easily find the center of the ellipse by finding the midpoint of our vertices (-3,4) and (11,4) which works out to be (4,4)

Because our foci must be (-1,4) and (9,4) this means (4±c,4) represents our foci. We can easily see that c=5 since (4-5,4) -> (-1,4) and (4+5,4) -> (9,4).

Knowing that c=5, we need to determine our values for a and b to satisfy the equation a²-b²=5².

Our vertices are located on the major axis, which will help us in finding the value of a.

The distance between the two vertices will be the length of the major axis, which will be |11-(-3)| = 14.

Additionally, because the length of the major axis is equal to 2a, this means 2a=14 where a=7.

Now we can solve for b with our equation 7²-b²=5² where b=√24.

In conclusion, our ellipse would be:

 (x-4)^2/49 + (y-4)^2/24 = 1

To know more about equation of ellipse visit

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Answer:

Obtuse

Step-by-step explanation:

a^2 + b^2 = c^2

10^2 + 11^2 = 16^2

100 + 121 = 256

221 = 256

221 < 256

A triangle has side lengths 10, 16, and 11. is the triangle is obtuse.

Triangles can be classified into three types with respect to their interior angles which are:

1. Acute-angled

2. Obtuse-angled

3. Right-angled

Acute Triangle

An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.

Obtuse Triangle

Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.

Right Triangle

A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse.

Three given sides are 10, 11, 16

Let a = 10, b = 11, c = 16

then, [tex]a^{2} +b^{2} = 10^{2} +11^{2}[/tex]

= 100 + 121

= 221

and [tex]c^{2} = 16^{2} =256[/tex]

Since, [tex]a^{2} +b^{2} < c^{2}[/tex]

Thus, given triangle is obtuse.

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Answer:

2(x-2) ≤ -30

Step-by-step explanation:

2(twice) (x-2)( the difference of a number and 2) ≤ (is at most )-30

Answer: 20

Step-by-step explanation:  Substitute -4 in for a and 4 in for x.  Then, simplify.  

4(4) - (-4)

16 + 4

20

Hope this helped.  Please mark brainliest if correct!

Answer:

4(4)-(-4)

16+4

20

Step-by-step explanation:

When you put x is 4 in the first term u will get 16 and when you add two negatives u will get a positive, hence positive 4, that is 16+4

20

Answer:

shrub = $11

hosta = $2

Step-by-step explanation:

Two equations can be derived from the equation

9h + 12s = 150 equation 1

4h + 3s = 41 equation 2

s = shrubs

h = hostas

this question can be solved using simultaneous equation

Multiply equation 2 by 4

16h + 12s = 164 equation 3

Subtract equation 1 from 3

7h = 14

h = 2

substitute for h in equation 1

9(2) + 12s = 150

12s = 150 - 18

12s = 132

s = 11

Answer:After choosing the color she still has the choices of brands and style so:

Tahari has 4*3=12 options left.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

right on edge

Answer:

D) y-7=-6/11(x+7)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-7)/(4-(-7))

m=-6/(4+7)

m=-6/11

y-y1=m(x-x1)

y-7=-6/11(x-(-7))

y-7=-6/11(x+7)

y=-6/11x-42/11+7

y=-6/11x-42/11+77/11

y=-6/11x+35/11

Hope this help!!!!!!! :)

Quantity of flour needed to make 20 pancakes =

Then , number of pancakes that can be made from 1 cup of floor :-

.

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Step-by-step explanation:

Answer:

She needs at least a 105 to get a 90 :/

Step-by-step explanation:

If you add all those up and divide it by 5 (the mean) you get an 86.5, then if you add 105 and divide up all those numbers by 6 you get a 90.166667

Answer:

30,000

Step-by-step explanation:

31623

1 is less than 5 so you dont round up

30,000

-- Gage Millar, Algebra 2 Tutor

This question is incomplete, the complete question is;

A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

Answer:

a)

The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b)

The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Step-by-step explanation:

Given the data in the question;

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

Number of persons affected by disease with positive factor of X = 40

Number of persons with negative factor of X  without the disease = 140

Total number of persons affected by the disease = 40 + 10 = 50

Total number of persons not affected by the disease = 60 + 140 = 200

a) Sensitivity of the Test;

Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100

we substitute

Sensitivity = [ 40 / 50 ] × 100

Sensitivity = 0.8 × 100

Sensitivity = 80%

Therefore, The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b) The specificity of the test;

Specificity = [ ( Number of persons with negative factor of X  without the disease) / ( Total number of persons not affected by the disease ) ] × 100

we substitute

Specificity = [ 140 / 200 ] × 100

Specificity = 0.7 × 100

Specificity = 70%

Therefore, The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Answer:

Negative

Step-by-step explanation:

Positive discriminant: graph cuts x axis twice

Zero discriminant: graph touches x axis once

Negative discriminant: graph does not cut or touch x axis

Answer:

the no of puppets that could be made with his string is 21

Step-by-step explanation:

Given that

There is 7 yards

And, it needs one -third of string for each of his puppets

= 7 × 3

= 21 puppets

We simply multiply the 7 yards with the 3 so that the no of puppets could come

hence, the no of puppets that could be made with his string is 21

Answer:

7/x+2

Step-by-step explanation:

2x +7/x

hope this helps

IT IS OVER ALL NOT ONLY 7!!!!!!!

Answer:

A and E.

Step-by-step explanation:

Its square root of [(13-8 and 7 - - 2  ( = 7 + 2)both squared)]

OH I see there are 2 answers.

The other one is  A.

Answer:

A = 1.26

B = 1.22

Store B is better

Step-by-step explanation:

5.04 divided by 4

2.44 divided by 2

Answer: 2,4???

Step-by-step explanation:

Answer:

x< 10

Step-by-step explanation:

To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:

x * 1.5 < 15,

Then divide by 1.5 on both sides...

Boom! x < 10.

Answer:

Aswan, Sudan

Step-by-step explanation:

Answer:

egypt and africa

Step-by-step explanation:

Answer:

I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi (6^{2})[/tex]

[tex]A=\pi (36)[/tex]

From here, there can be a few different answers:

The exact answer is A=36π inches^2.

If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2

If you're using 3.14 for pi, the answer is A=113.04 inches^2.