Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?

Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?

Please answer as quick as possible and please answer as
Example:
True, because . . . .

Thanks again!!

Well the two equations are in y=mx+b form, also known as slope-intercept form.

The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...

When X = 0...

First equation: Y=7

Second Equation: Y=-6

On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.

So the second point is (6,-1).

FIRST EQUATION ONLY: Plot (0,7), (6,-1)

For the second I wont be elaborate as much but its (0,-6), (3,-10)

Brainiest/Heart if helpful!

Answer:

(-6, 2)

Step-by-step explanation:

When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.

When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.

The answer is the point they intersect, or cross. That would be (-6, 2).

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

x=16

Step-by-step explanation:

The angles indicated are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

5x+28 = 7x-4

Subtract 5x from each side

5x+28 -5x = 7x-4-5x

28 = 2x-4

Add 4 to each side

28+4 = 2x-4+4

32 = 2x

Divide by 2

32/2 = 2x/2

16 =x

Step-by-step explanation:

(5x+28)=(7x-4)

2x=32

x=16

Answer:

2107

Step-by-step explanation:

In this type of question we have to follow these steps

1) Find the biggest number in interval which is divisible by seven

For this question it is 196

2)Find the smallest number in interval which is divisible by seven

For this question it is 105

3) Then subtract 105 from 196

196-105=91

4) Divide 91 by seven

91:7=13

5)Lastly we have to add 1 to the 13

13+1=14

So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them

To find them sum we have a formula:

  (biggest number + smaller number) x number of terms / 2

      (196+105) x 14 /2  = 2107

Step-by-step explanation:

bzbzbsbbsbsbsbsbsbsbsbbsbs indian

Answer:

Step-by-step explanation:

(6x - 14)° + (4x - 8)° + (x + 15)° = 180°

11x - 7 = 180

11x = 187

x = 17

m ∠ F = ( 6 × 17 - 14 )° = 88°

Answer:

A

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth

   = (2x - 5)(x + 4) ← expand using FOIL

   = 2x² + 8x - 5x - 20

  = 2x² + 3x - 20 → A

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

Answer:

Organize into a table for good gatherings.

Answer:

(12x+1)+(5x-3)=117

combine like terms 12x+5x=17x

1+-3= -2

17x-2=117

add 2 to both sides to isolate the variable

17x=119

divide both sides by 17 to further isolate the variable

x=119/17

x=7

answer is x=7

Step-by-step explanation:

add both angles to be the sum of the angle DEF and determine what x must be by the steps above

Answer:

x=7°

Step-by-step explanation:

Form an equation:

12x+1+5x-3=117°

Collect like terms:

Like terms are terms with the same variables and powers.

12x+5x=17x

1-3=-2

put I back into an equation:

17x-2=117°

As we want x, you would have to do inverse operations to 'undo the equation'.

117+2=119°

17x=119°

119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)

So, x=7

Hope this helps :)

Answer:

-p^4 + 4p^3 - 5p^2 + 8p - 6

Step-by-step explanation:

Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.

When we expand:

-p^4 - 2p^2

+ 4p^3 + 8p

-3p^2 - 6

Group, ordering from highest to lowest "degree" (exponent).

-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6

Combine like terms.

-p^4 + 4p^3 - 5p^2 + 8p - 6

Answer:

I believe its negative nonlinear association

Step-by-step explanation:

The line is going down so its definitely negative

And the line is not straight so its not linear

Therefore, its negative nonlinear association

Answer:

¼ chance

Step-by-step explanation:

If there is 4 items and 1 blue die and its a ¼ chance if there was more blue then there would be a higher chance for having blue socks

Denote the number by 10a + b, where both a and b are integers picked from {1, 2, 3, …, 9}.

"the difference of whose digits is 3"   ==>   |a - b| = 3

"4 times the number is equal to 7 times the number obtained by reversing the digits"   ==>   4 (10a + b) = 7 (10b + a)

Simplifying the second equation, you get

40a + 4b = 70b + 7a

33a - 66b = 0

a - 2b = 0

Assume a > b, in which case we would have |a - b| = a - b, so

a - b = 3

Eliminate a to solve for b, then for a :

(a - b) - (a - 2b) = 3 - 0

b = 3   ==>   a = 6

Then the original number is 63.

If instead we had assumed a < b, we would have had |a - b| = b - a = 3. Then

2 (b - a) + (a - 2b) = 2×3 + 0

-a = 6

But neither a nor b can be negative, so this case is moot.

Answer:

(4, -1)

Step-by-step explanation:

xB = -2+(-2-(-8)) = -2 +6 = 4

yB = 1+(1-3)=1+(-2) = -1

so, the coordinates of point B => (4, -1)

Answer: c. always

Step-by-step explanation:edmentum

Answer:

C

Step-by-step explanation:

3(17x-6.5) =108

=17x-6.5=36

=17x =36 +6.5

= 17x=42.4

=x =2.5

Answer:

x= 2.5

Step-by-step explanation:

3(17x-6.5)=108

Divide each side by 3

3/3(17x-6.5)=108/3

17x - 6.5 = 36

Add 6.5 to each side

17x-6.5+6.5=36+6.5

17x = 42.5

Divide by 17

17x/17 = 42.5/17

x= 2.5

Answer:

if this is division it's 1.2.

Step-by-step explanation:

just divide it of its division if not sorry

Answer:

1.2

Step-by-step explanation:

(0,0)

How?

Putting values

[tex]\\ \sf\longmapsto y=x[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

And

[tex]\\ \sf\longmapsto y=-x[/tex]

[tex]\\ \sf\longmapsto 0=-0[/tex]

Hence verified

answer:

tell us why the other gardens are needed

I assume your question should be rephrased as "Josh has a bucket 30 inches deep..."

Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water.

Given:

To find: If Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water

It is given that, to fill the bucket with 3 inches of water, it takes Josh 5 minutes.

Using Unitary method, we can say that, to fill the bucket with 1 inch of water, it takes Josh [tex]\frac{5}{3}[/tex] minutes.

Then, to fill the bucket with 30 inches of water, it takes Josh [tex]\frac{5}{3} \times 30[/tex] minutes.

Solving, we can say that it takes Josh 50 minutes to fill the bucket with 30 inches of water.

Since the bucket is 30 inches deep, we can say that it takes Josh, 50 minutes to fill the entire bucket, which is just under an hour.

So, Josh is correct in assuming that it will take him under an hour to fill the entire bucket with water.

Learn more about Unitary method here:

https://brainly.com/question/12470900

please mark this answer as brainlist

Answer:

B = 17.4°

C = 54.6°

c=43.7

Answer:

C

Step-by-step explanation:

First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by

f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us

f(c(x))

= f(1/2(x))

Let's say f(a) =  f(1/2(x))

Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in

f (-(a))

= f(-(1/2)(x))

= g(x)

9514 1404 393

Answer:

  (√2)² = 2

Step-by-step explanation:

You can do this for any rational root of a rational number. Simple examples are squares and cubes:

  (√5)^2 = 5 . . . . . . √5 is irrational

  (∛6)^3 = 6 . . . . . . . ∛6 is irrational

__

You can also do it with other rational roots:

  x = 83^(2/3) is irrational

  x^(3/2) = 83 is rational

If Forces are acting on opposite direction

[tex]\\ \rm\hookrightarrow F_{net}=F_2-F_1[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10-6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=4N[/tex]

If both acting on same direction

[tex]\\ \rm\hookrightarrow F_{net}=F_1+F_2[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10+6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=16N[/tex]

Hence

[tex]\boxed{\sf 4N\leqslant F_{net}\leqslant 16N}[/tex]

Choice C is the only equation with slope 2/3, while choice D has slope -2/3. This subtle difference is enough that the two lines are not parallel. The positive slope line goes uphill when moving to the right. The negative slope line goes in the opposite direction: it goes downhill when moving to the left.

The graph is below comparing the original equation with choices C and D. I used GeoGebra to make the graph, but you could use any other tool you want (eg: Desmos).

Answer:

y = 2/3x - 12 is correct

Step-by-step explanation:

D is incorrect because the slope is -2/3

To have a parallel line, you have to have the some slope, but a different y- intercept

Ill graph y = -2/3x + 1 and y = 2/3x + 5/6 and show you:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

Answer:

f(- 2) = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2 [tex](4)^{-2}[/tex] = 2 × [tex]\frac{1}{4^2}[/tex] = 2 × [tex]\frac{1}{16}[/tex] = [tex]\frac{2}{16}[/tex] = [tex]\frac{1}{8}[/tex]

Answer:

[tex]\sqrt{100}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{97}=9.848857.....\\\\\sqrt{98}=\sqrt{2*7*2}=2\sqrt{7}\\\\\sqrt{99}=\sqrt{3*3*11}=3\sqrt{11}[/tex]

 Square root of all prime numbers are irrational numbers

Answer:

√121=11

√81=9

√4=2

√100=10

√144=12

√36=6

√16=4

√1=1

√49=7

√25=5

√9=3

√64=8

I hope this helps

Answer:

2 4 6 8 10 12 14 16.....................................................

Answer:

even numbers are

Step-by-step explanation:

2,4,6,8,10,12,14,16,18,20,24,26 and so on