When rounding to the nearest tenth, which of the numbers below will round to 78.5? S

1) The equation that has infinitely many solution is y = -8/11·x + 4

2) The equation of the graph that has no solution is y = -8/11·x + 1

3) The equation of the line that has only one solution is y = -1/4·x + 2

Step-by-step explanation:

1) The points on the graph are;

(0, 4), and (5.5, 0)

The slope of the line defined by the given two points, we have;

(0 - 4)/(5.5 - 0) = -40/55 = -8/11

the equation of the straight line graph in point and slope form, we have;

y - 4 = -8/11 × (x - 0)

y - 4 = -8/11·x

For the equation for the system that has infinitely many solution, we have;

y = -8/11·x + 4

2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;

An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal

Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;

y - 1 = -8/11 × (x - 0)

y - 1 = -8/11·x

The equation of the graph that has no solution is therefore;

y = -8/11·x + 1

3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;

The slope of the graph is (1 - 2)/(4 - 0) = -1/4

The equation of the line that has only one solution with the system in point and slope form is given as follows;

y - 2 = -1/4×(x - 0)

y - 2 = -1/4·x

The equation of the line that has only one solution in standard form is therefore;

y = -1/4·x + 2

The second equation for the system so it has infinitely many solutions is [tex]y=-\dfrac{3}{4}x+1[/tex] and the second equation whose graph goes through (0,2) so the system has one solution at (4,1) is [tex]\rm y = -\dfrac{1}{4}x+2[/tex] and this can be determined by using the point-slope form of the line.

Given :

The graph of the line that passes through the points (4,1) and (0,4).

The equation of the line that passes through the points (4,1) and (0,4) is given by:

[tex]\dfrac{y-1}{x-4}=\dfrac{4-1}{0-4}[/tex]

Cross multiply in the above equation.

-4(y - 1) = 3(x - 4)

-4y + 4 = 3x - 12

3x + 4y = 16

[tex]\rm y = 4-\dfrac{3x}{4}[/tex]   --- (1)

a) The second equation for the system so it has infinitely many solutions is given by:

Multiply equation (1) by 2 in order to determine the second equation.

[tex]\rm 2\times \left(y = 4-\dfrac{3x}{4}\right)[/tex]

[tex]\rm 2y = 8 - \dfrac{3x}{2}[/tex]

b) The second equation that passes through (0,1) and has a slope of -3/4 is given by:

[tex](y-1)=-\dfrac{3}{4}(x)[/tex]

[tex]y=-\dfrac{3}{4}x+1[/tex]

c) The second equation whose graph goes through (0,2) so the system has one solution at (4,1) is given by:

[tex]\dfrac{y - 2}{x-0}=\dfrac{1-2}{4-0}[/tex]

Cross multiply in the above equation.

4(y - 2) = -1(x)

4y - 8 = -x

[tex]\rm y = -\dfrac{1}{4}x+2[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2263981

Answer:

oof thats hard

Step-by-step explanation:

Answer:

Its 28

Step-by-step explanation:

Q[tex]3[/tex] = [tex]\frac{3}{4}[/tex] (n+1)

Answer:80 meters

Step-by-step explanation: 24 meters = 36 secs

2 mins = 120 secs

Cross multiply

24×120/36

= 80 meters

Hope I helped you!!

Answer:

where the actually question at?

Step-by-step explanation:

Answer:

5/6 = 21/35

Step-by-step explanation:

I hope this helps. I'm not sure if its correct

Answer:

i would go with C my guy

Step-by-step explanation:

1. C. 49+17

2. B. 79+16

3. A. 24 X 32

4. C. 17 X 27

Answer:

5 pencils.

Step-by-step explanation:

I divided 10 by 2.

Answer:

I think 157 pavers

Step-by-step explanation:

I may be able to help with number 10, if the trees are to be decorated with a ring of decorative pavers then we have to find the circumference, if the radius is 5 then using the circumference formula, 2×3.14(pi)×the radius, you'll get 31.4 and since there is 5 trees to be decorated then multiply 31.4 times 5 which will give you 157 feet of pavers to surround all five trees. I apologize if it is incorrect.

Answer:

9

Step-by-step explanation:

2x+3=3x-6

6+3 = 3x - 2x

x = 9

I hope im right!!

Answer:

I think it might be 1 cup because I added all of the water which was 3 cups and divided it by 3 which is 1

Answer:

The answer is 1 cups

Step-by-step explanation:

Answer:

132 degrees

Step-by-step explanation:

This is because if you have a 90 degree angle than the angles connected to it will be equal

Answer:

4.66 or 14/3

Step-by-step explanation:

Area of a triangle is (base × height)/2. They have given you the height and the area already, so:

14 = ( b × 6 ) / 2

28 = b × 6

4.66 = b

The base of the triangle is B = 4.667 feet or 14/3 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is A = 14 feet²

Let the height of the triangle be H = 6 feet

Let the base of the triangle be B

And , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

14 = ( 1/2 ) x 6 x B

On simplifying the equation , we get

14 = 3B

Divide by 3 on both sides of the equation , we get

B = 14/3 feet

Therefore , the base of the triangle is B = 4.667 feet

Hence , the base of triangle is 4.667 feet

To learn more about triangles click :

https://brainly.com/question/16739377

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Answer:

sorry

Step-by-step explanation:

Answer:

search it up there is a lesson

Step-by-step explanation:

Answer:

PMDAS

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Since this triangle is a 90 degree angle, all you'd have to do is subtract 55 from 90 and you've got you answer.

Answer:

23-27 students makes up the popuation of the 5-6%

Step-by-step explanation:

450*.05= 22.5

450*.06= 27

Answer:

-2(x+5) is equivalent to -2x-10

7x+78 - 142=6x+73

7x-6x=73-78+142

×=137

so sam wrote

6x+73

822+73

=895 lines

hannah wrote

7x+78

959+78

1037

verify

1037

-895

= 142

hope it helps

Answer: 895

Step-by-step explanation: yeet and skurt

Answer:

11

Step-by-step explanation:

First we need to find the length of each side: 176/4 = 44

Then multiply that by the scale factor = 11.