the system shown is consistent, inconsistent, equivalent

The System Shown Is Consistent, Inconsistent, Equivalent

Answers

Answer 1

Answer: Consistent (and independent)

Step-by-step explanation:

The meaning of the options are:

Consistent (and independent): There is only one point of intersection between the two lines.

Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.

Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.

In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.

Answer 2

Answer:

Consistent

Step-by-step explanation:


Related Questions

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places

Answers

Answer:

[tex]x=23/\sqrt{6}[/tex],

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Surface area is 529 square meters

Generally the dimensions of the cuboid

[tex]v=x^y[/tex]

[tex]D=4xy+2x^2 =529[/tex]

[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]

[tex]V' =529-6x^2/4[/tex]

[tex]v'=0[/tex]

Therefore

[tex]529=6x^2[/tex]

[tex]x=\sqrt{\frac{529}{6} }[/tex]

[tex]x=23/\sqrt{6}[/tex]

Mathematically

[tex]v''=\frac{12x}{4}[/tex]

[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]

[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Therefore

[tex]x=23/\sqrt{6}[/tex]

and

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Can someone please help me with this. I'll give 50 points!

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

2nd answer

Step-by-step explanation:

x less than -3

Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.75 mile she bikes. If Emily bikes 21 miles, how much will her mother donate?

Her mother will donate $

Answers

12.6 I think I hope it was right

There are 99 females and 121 males participating in a marathon. What percent of the participants are male

Answers

Answer:

0.55 = 55%

Step-by-step explanation:

total people:  220

121/220 = 11/20 = 55%

brainileist pweeeeeez

Answer:

55%

Step-by-step explanation:

121/99+121

0.55

55%

if 50% is 10 what is 75%​

Answers

THE ANSWER IS 15 BECAUSE I DID THE MATHnehe it wotn send omg

Answer:

15

Step-by-step explanation:

hhwkdveiwvsjzvejdif

I need help...



Please help to find ...​

Answers

Answer:

NEED TO FIND WHAT

Step-by-step explanation:

If 2 quarts of paint are needed for 75 ft of fence, how many quarts are needed for 900 ft of fence

Answers

Answer:

24 quarts

Step-by-step explanation:

1 qrt = 75/2 = 37.5

900 / 37.5 = 24

A worker bee has a mass of 0.00011 \text{ kg}0.00011 kg0, point, 00011, start text, space, k, g, end text.
Choose the best approximation of the mass of a worker bee.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text

(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:

(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text

(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript

(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript

(Choice C)
C
8\cdot10^88⋅10
8

Answers

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Step-by-step explanation:

Use the rules of significant figures to answer the following question:

54.313 × 12.09

A. 657

B. 660

C. 656.64

D. 656.6​

Answers

the answer is C. 656.64

Please help me solve this !:)
Explain your answer

I will give braisnlt .

Answers

Answer:

A a rotation 180 degrees about the origin seems right

Answer:

B

Step-by-step explanation: Too easy to explain

How many terms are in this expression?
3n+2m+1

Answers

Answer:

three

Step-by-step explanation:

3n+2m+1

There are three terms in the expression

3n,  2m,  and 1

Answer:

three terms are in this experssion 3n+2m+1

-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x

Answers

uh- this is the correct way to answer the problem....

−4x+12=−6x

Step 1: Add 6x to both sides.

−4x+12+6x=−6x+6x

2x+12=0

Step 2: Subtract 12 from both sides.

2x+12−12=0−12

2x=−12

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]

x=−6

Triangle IHJ is similar to triangle RST.
What is the length of side _
RT

Answers

6 mm

Set up a proportion of 12/9=8/x. Cross multiply and this gives us 12x=72. Now divide both sides by 12 and you get 6.

Find the unit tangent vector at the given value of t for the following parameterized curves.

r(t)= ⟨7–√e^t,3e^t,3e^t⟩

, for 0≤t≤1
; t=ln 2

Answers

Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground.

As the plane starts its descent
(at time x = 0), you record the following data: Time, x (min.) Altitude, y (km)
12 0 10 8 16 16 18 4 110 12

If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?

a. For every minute that passes, the airplane descends 1 kilometer.
b. For every minute that passes, the airplane ascends 1 kilometer.
c. For every 2 minutes that passes, the airplane descents 1 kilometer.
d. For every minute that passes, the airplane ascends 2 kilometers. C. ​

Answers

Answer:

a

Step-by-step explanation:

edg 2020

For every minute that passes, the airplane descends 1 kilometer. then option a is correct.

How to find the rate of change of a linear equation?

Suppose that the considered linear equation is of the form

y=mx+c

Then, when we change x by 1 unit, then:

The rate of change is the slope. The formula for slope is

m = y2 - y1 / x2 - x1

Using the first two points, (0, 12) and (2, 10), we have

m = (10-12)/(2-0)

m  = -2/2

m = -1

This means the plane descends 1 km per minute which means in 3 minutes' time, the plane descends 3 km.

Therefore, option a. For every minute that passes, the airplane descends 1 kilometer.

Learn more about the rate of change of a linear equation here:

https://brainly.com/question/12786410

#SPJ5

HELLPPP PLEASE WILL GIVE BRAINLIEST ​

Answers

Answer:

25

Step-by-step explanation:

90-65=25

jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?

Answers

The total cost would be $100

Answer:

$100

Step-by-step explanation:

since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100

Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12​

Answers

Answer:

A

Step-by-step explanation:

the equivalent pair of expression are 2(x+5)and 2x+10

10=2x-20 solve for x

Answers

Answer:

[tex]10 = 2x - 20 \\ 10 + 20 = 2x \\ \frac{30}{2} = \frac{2x}{2} \\ 15 = x[/tex]

Please help with this

Answers

Answer: pretty sure its 85

Step-by-step explanation:

Answer:

85°

Step-by-step explanation:

Line segment AB || line m

Therefore, BC is transversal.

[tex] \therefore m\angle ABC + (m\angle ACB +m\angle A D) = 180\degree[/tex]

[tex] \therefore m\angle ABC + (55\degree + 40\degree) = 180\degree[/tex]

[tex] \therefore m\angle ABC + 95\degree = 180\degree[/tex]

[tex] \therefore m\angle ABC = 180\degree -95\degree [/tex]

[tex] \therefore m\angle ABC = 85\degree [/tex]

-3a + 4 = -14
What the answer to this

Answers

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

Answer:

a = 6

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

-3a + 4 - 4 = -14 - 4

+4 and -4 cancel out.

Step 2: Subtract 4 from -14 to get -18.

-3a = -18

Step 3: Divide both sides by -3.

a = -18/-3

Step 4: Divide -18 by -3 to get 6.

a = 6

Let's check our work by substituting a for 6.

-3(6) + 4 = -14

Multiply -3 by 6 to get -18.

-18 + 4 = -14

Add -18 and 4 to get -14.

-14 = -14

This is true, so a = 6.

Evaluate functions from their graph f(-5)=

Answers

Answer:

7

Step-by-step explanation:

(-5,7) lies in the graph!

Please MY LAST 15 POINTS! What is the x-coordinate of point B? Write a decimal coordinate.




On a coordinate plane, point B is 1.5 units to the left and 3.5 units up.

Answers

Answer:

-1.5

Step-by-step explanation:

i hope this helps

find the slope thanks ​

Answers

Answer:

Hello! Just here so the other person can get brainliest. I will do the same for the other questions.

Step-by-step explanation:

will give brailest Solve the following equation to find the value of r?

r/8.5=16

Answers

Answer:

R=296

Step-by-step explanation:

Multiplication is the opposite of division so you want to multiply both your given numbers.

Hope this helped  

Here is the answer written out. Hopefully this helped

WILL GIVE BRAINLIEST

Find the equation of the line

perpendicular to y=-2x + 1 that

also intersects the point (8, 2).

y- Hx+ 1

Enter

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

In the rectangle, find the length of AD.

Answers

Answer:

required answer is 9 of your question

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge

For which line is the slope least?

Answers

I would definitely that the

is the product of 18 negative numbers and 20 positive numbers a positive number or negative

Answers

Answer:

positive

Step-by-step explanation:

even negatives = positive

whatever positives = positive

positive*positive = positive

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