The system shown is _____.

A.) consistent
B.) inconsistent
C.) equivalent

The System Shown Is _____.A.) ConsistentB.) InconsistentC.) Equivalent

Answers

Answer 1

Answer:

The system shown is consistent A

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and  [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution  

From the given graph

∵ The two lines intersected at one point

∴ This point lies on the two lines

→ That means this point satisfies the equations of the lines

The system of equations represented by the two lines has 1 solution

→ By using rule 3 above

The system shown is consistent


Related Questions

Solve the equation for all values of x by completing the square.
x^2 + 4x = 32

Answers

Answer:

x^2+4x-32=0

(mid-term breaking---4 x 8=32)

x^2+8x-4x-32=0

x(x+8)-4(x+8)

x+8=0 or x-4=0

So x=+4 or x=-8

Step-by-step explanation:

Help me please

Find the slope

Answers

Answer:

2/4 = 1/2

Step-by-step explanation:

slope = rise / run

rise = 2

run = 4

thus slope = 2/4 = 1/2

An airplane can cruise at 570 mph. How far can it fly in 4/3 hours?

Answers

Answer:

The plane can fly 760 miles in 4/3 hours.

Step-by-step explanation:

Given that:

An airplane can cruise at 570 miles per hour.

We have to find the distance travelled by train in 4/3 hours.

Distance = Speed * Time

Distance = [tex]570*\frac{4}{3}[/tex]

Distance = [tex]\frac{2280}{3}[/tex]

Distance = 760 miles

Hence,

The plane can fly 760 miles in 4/3 hours.

Figure ABDC is a parallelogram find the information below
Please help thank you

Answers

9514 1404 393

Answer:

DC = 16∠DCB = 120°EB = 10.2∠ADC = 60°∠ABE = 17°

Step-by-step explanation:

The figure is a parallelogram, so ...

  AB ≅ DC = 16

Opposite angles are congruent, so ...

  ∠DAB ≅ ∠DCB = 120°

The diagonals cross at their midpoints, so ...

  ED ≅ EB = 10.2

Adjacent angles in a parallelogram are supplementary, so ...

  180° -∠DAC = 180° -120° = ∠ADC = 60°

The sum of angles in ∆ABD is 180°, so ...

  180° -120° -43° = ∠ABE = 17°

If Bill works on Saturdays, he earns $9 per hour (h), plus a $10 bonus for working on the weekend. He wrote a Function, f(h) = 9h + 10, to help calculate how much he would earn working different numbers of hours next Saturday. How much will Bill earn for 5 hours and 12 hours?

Answers

Answer:

[See Below]

Step-by-step explanation:

For 5 hours: f(5)

f(5) = 9(5) + 10

f(5) = 45 + 10

f(5) = 55

Bill would work earn $55 if he worked for 5 hours.

For 12 hours: f(12)

f(12) = 9(12) + 10

f(12) = 108 + 10

f(12) = 118

Bill would work earn $118 if he worked for 12 hours.

Hope this helps.

Help due asap
Show workings!

Answers

Answer:

BQ = 16

QE = 8

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1

Here, let BQ = 2x and QE = x

BQ + QE = BE

2x + x = 24

3x = 24

x = 24/3

x = 8

2x = 2*8 = 16

BQ = 16

QE = 8

⚠️⚠️ Ok I need some help here lol ⚠️⚠️

This is the only one and it’s honestly confusing

Answers

(4,6) :)
As it goes over the X axis, you pretty much just mirror it, over that axis.

Answer:

the answer is (4,6)

Step-by-step explanation:

Can you please Solve for x

Answers

Step-by-step explanation:

7x-4+3x+14=180°

10x+10=180

10x=180-10

10x=170

x=170

10

x=17

hope it helps.

Answer: x = 17

Step-by-step explanation:

Alternate interior angles add up to 180°

3x + 14 + 7x - 4 = 180°

Combine like terms

10x + 10 = 180

Subtract 10 from both sides

10x = 170

Divide both sides by 10

x = 17

solve each system of equations algebraically y= x-6 y= 2x

Answers

Answer: x = -6

Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.

y = x - 6

y = 2x

2x = x - 6 (substitute the y value into the equation)

1x = -6 (subtract x on each side)

x = -6 (1x is basically saying x so you do not need to divide)

[Help Quick]. Fill in the table using this function rule

Answers

Answer:

9

15

24

33

Step-by-step explanation:

I hope this right

9, 15, 24, 33 with 9 being the top question and 33 being at the bottom(:

plzzzz help I am stuck on number 4

Answers

Answer:

lol nah <3

Step-by-step explanation:

i would try and help, but not with that trump pfp my dude

What is the equation

Answers

what equation? there isn’t any shown.

HELP ASAP I NEED THE HWLP KAHALANSLABSHSNSKSBAJAM

Answers

Answer:

3,2 im pretty because it's only asking g for the line the the whole triangle i believe

How do you pay taxes?

Answers

Answer:

;-;

Step-by-step explanation:

Answer:

um ‍♀️‍♀️‍♀️‍♀️

A baker sold 35% of the cakes she baked, if she baked 80 cakes, how many cakes did she sell?

Answers

Answer:

28

Step-by-step explanation:

find 35% off 80 cakes

35% * 80

Converting percent to decimal:

35%/100 = 0.35

0.35 * 80

28

Therefore the baker sold 28 cakes out of the 80 cakes she baked. Hope this helps!

I think 35% of 80 is 28.

Step-by-step explanation:

....

If you can type 50 words per minute, how many minutes would it take you to type a 500 word essay​

Answers

Step-by-step explanation:

50words-1 minute

500words- x minute

500÷50=10

it would take you 10 minutes.


Hey can someone please help me with this? I’d appreciate if you put steps down and the answer! Tysm.

Answers

What’s the actual problem?

Answer:

x = 21.9317122

Step-by-step explanation:

20² + 9² = x²

400 + 81 = x²

481 = x²

square root both answers and that's your answer

SOPHOMORE GEOMETRY NEED HELP ASAP WILL MARK BRAINLY !!!

Answers

Answer:

(6x-5)+(4x-2)=43

10x-7=43

5

Step-by-step explanation:

Help within 10min PLZZ❤️❤️

Answers

C is the answer You’re welcome

13. The sum of the measures of angle Mand angle Ris 90°.
• The measure of angle Mis (5 x + 10).
• The measure of angle Ris 55°.
What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

If the sum of the measures of angle M and R is 90 degrees, and you know that angle R is 55 degrees, subtract angle R from the total angle. Then, solve for M

90 - 55 = 35

5x + 10 = 35

5x = 25

x = 5

Solve the equation 2x+3/3 - 3x/2=-4
Fast please

Answers

Answer:

x = 6

Step-by-step explanation:

Assuming the equation is

[tex]\frac{2x+3}{3}[/tex] - [tex]\frac{3x}{2}[/tex] = - 4

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 3) - 9x = - 24

4x + 6 - 9x = - 24

- 5x + 6 = - 24 ( subtract 6 from both sides )

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Write an equation with the following : m = -4 b 10

Answers

Answer:

Step-by-step explanation: Let's solve for b.

m=(−4b)(10)

Step 1: Flip the equation.

−40b=m

Step 2: Divide both sides by -40.

−40b

−40

=

m

−40

b=

−1

40

m

Answer:

b=

−1

40

m

It takes 6 cups of mix to make 2 gallons of lemonade if x represents the number of cups of mix and y represents the gallons of lemonade. What is the slope of the line that represents this relationship?
A:6
B:1/3
C:3
D:1/6

Answers

The answers is B
B:1/3
C:3
Because to figure it out u have to simplify or divide it in half until you find the answer you’re looking for.
So 6cups divided by 2 gallons = 3

I need help I will give brainiest​

Answers

Answer:

question 5: 38 students total get a ride to school

question 6: 51 total girls were surveyed

Step-by-step explanation:

Answer:

walk

girls:22

boys:13

total:38

ride

girls:29

boys:9

total:38

total

girls:16

boys:25

I need help I need help pleaseee

Answers

Answer:

f(-10) = -1/2

f(0) = -3

Step-by-step explanation:

Here, given the equation for f(x) we want to get the value of f(x) for each value of x supplied

We proceed as follows

f(-10) = 6/-10-2 = 6/-12 = -1/2

f(0) = 6/(0-2) = 6/-2 = -3

PLEASE HELP!


An escalator in the mall rises to a platform and makes a 30 degrees angle with the ground. If the platform is 76 feet above the ground, how long is the escalator?

Answers

9514 1404 393

Answer:

  152 feet

Step-by-step explanation:

A triangle modeling the situation has the unknown length as its hypotenuse, and the given platform height as the side opposite the angle. The relevant trig function is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (76 feet)/(escalator length)

  escalator length = (76 feet)/sin(30°) = (76/0.5) feet

  escalator length = 152 feet

a particular tree is 18 m tall : a model of it was built with a. scale of 4 cm : 3m how tall is the model.

Answers

Answer:

24 cm

Step-by-step explanation:

We can set up a ratio of 18 m / x cm = 3 m / 4 cm because we know that it's a scale.

Cross multiplying, we get 3x = 72. Divide both sides by 3 and we have x = 24 cm.

We can also consider it by just dividing 18 m by 3 m to find the scale factor, which is 6. We then multiply the 4 cm by 6 to get 24 cm as well.

Help pls , I don’t get it

Answers

Answer:

7.2

Step-by-step explanation:

Just divide the area by the width/height next time..

The garden club earned $15, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?

Answers

Answer:

The answer should be $30.

Answer:

30 * t

Step-by-step explanation:

The garden club earned $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

Double their earnings means we multiply by 2

So earning 15 per hour becomes 2*15 = 30 per hour

Given the number of hours is t

Earnings = $30 times number of hours

Earnings = 30 * t

Which pair of angles in the figure below are vertical angles

Answers

Answer:

There isn't an attachment to see what your talking about.

Step-by-step explanation:

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