Explain why it makes sense that a system of two lines with equal slopes but different y-intercepts has no solutions.

Answers

Answer 1

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to seek why the system has no solutions

An example is necessary

Let us have two lines with equal slopes and different y-intercepts

y = 2x + 5

y = 2x - 3

To solve this system, we equate the y-values

2x + 5 = 2x - 3

The reason why this has no solution is that there is no x value that would validate the equality

It is impossible to find an x value which when inserted would make both equations equal

In the absence of this, we can make that conclusion that the system of equations has no solution


Related Questions

Brody and Carrie like to hike in the mountains. From the trailhead, they climb 103 feet until they reach a waterfall. On the next part of the trail, they descend 84 feet. To reach their destination, Brody and Carrie must then climb another 194 feet. Their destination is 734 feet above sea level. At what elevation is the trailhead?

Answers

Answer:

521 feet.

Step-by-step explanation:

In the given question, the number of feet covered with respect to climbing would have a positive value. While the number of feet descended would have negative value.

The total feet covered by Brody and Carrie, with the elevation of the trail-head should be equal to the elevation of their destination above sea level.

To determine the elevation of the trail-head, let its elevation be represented by h.

So that,

h + 103 - 84 + 194 = 734

h + 297 - 84 = 734

h + 213 = 734

h = 734 - 213

h = 521

h = 521 feet

The elevation of the tail-head is 521 feet.

SIMPLIFY THE
EXPRESSION
3(x - 2) – 5x - 10

Answers

3(x−2)−5x−10

Distribute:

=(3)(x)+(3)(−2)+−5x+−10

=3x+−6+−5x+−10

Combine Like Terms:

=3x+−6+−5x+−10

=(3x+−5x)+(−6+−10)

=−2x+−16

Answer:

=−2x−16

Answer:

-2x - 16

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) - 5x - 10

Step 2: Simplify

Distribute 3:                              3x - 6 - 5x - 10Combine like terms (x):            -2x - 6 - 10Combine like terms (Z):            -2x - 16

I need helpppppppppppppppppp

Answers

Answer:

yes, they are both the same

Step-by-step explanation:

Answer: I think the answer is "NO" there not

Step-by-step explanation:

HOPE THIS HELPS SORRY IF I AM INCORRECT

is 3.254 rational or irrational

Answers

It is rational

Hope this helps

Have a great day/night

what is a scale score of 1074 and a grade equivalent 6.8?

Answers

Answer:A grade equivalent (GE) score is described as both a growth score and a status score both. ... For example, if a seventh grade student earned a GE of 8.4 her raw score is like the raw score the typical student would likely earn on the same test at the end of the fourth month of the eighth grade.

Step-by-step explanation: This is basically the answer

find the positive integer n for which 98! x 9900 = n!

Answers

Answer:

3

Step-by-step explanation:

Write an equation in point-slope
form for the line that passes
through (1,4) with a slope of 3.

Help me please!

Answers

Answer:

Answer. We know that point slope form of a linear equation is y - y₁ = m(x - x₁). Given: m = 4, x₁ = -1, y₁ = -3.

Step-by-step explanation:

5¹ x 34 ÷ 5 x (3/4)²​

Answers

Answer:

60.444

Step-by-step explanation:

Simplify the following 3^2 x 3^2

Answers

Answer: 81

Step-by-step explanation:

Answer:

3^4

Step-by-step explanation:

You can use the rule:

[tex] {n}^{a} \times {n}^{b} = {n}^{a + b} [/tex]

2+2 = 4 so that's your answer

and 3^ 4 is 81 when you put it in a calculator

Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16.
a. 112
b. 32
c. 12
d. 52

Use the picture below of the isosceles triangle to solve for x & y.

a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43

Answers

Answer:

1) because A and B are supplementary

=> 2x + 4 + 3x + 16 = 180

<=> 5x = 160

<=> x = 32

with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112

2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86

we also have:

2y = 86

x = y + 47

=> y = 43

x = 43 + 47 = 90

456, 930, 1860, 3720, ?

Answers

Do you want a from greatest to least? Context?

Help plz i suck at math

Answers

Answer:

18.75

Step-by-step explanation:

4p - 5 = 70 (add 5 to 70)

4p - 75 (divide 4 and 75)

18.75

Look at this diagram.

If TV and WY are parallel lines and m<YXZ = 130°, what is m<VUX?

____°​

Answers

Answer:

130°

Step-by-step explanation:

Angle VUX and Angle YXZ are vertical lines ! Which means that they are both exact

Bam! -w-

Lol Hope This Helps !

A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some are retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?

Answers

Answer:

The indifference point is 8 weeks.

Step-by-step explanation:

First, we establish the total cost formula for each:

x= number of weeks

Club:

Total cost= 20 + 15*x

Retail:

Total cost= 17.5*x

Now, we equal both formulas and isolate x:

20 + 15x = 17.5x

20 = 2.5x

8=x

The indifference point is 8 weeks.

Prove:

Total cost= 20 + 15*8= $140

Total cost= 17.5*8= $140

determine the rate of change (slope) in the graph

Answers

Answer: 2/3

Step-by-step explanation: the slopes line is 2 over 3

Answer:

Step-by-step explanation:

:(

need help asap plzzz

Answers

Answer:

Side a is that side opposite to the hyp and b is the short side and c is the hyp

So a/b is 24/x

we need b

We find b=10

so 24/10 and we simply to 12/5

An invariant point is a point that remains fixed under a transformation. For the transformations described below, determine whether there will sometimes, always, or never exist at least one invariant point. If so, describe the invariant point(s). If not, explain why invariant points are not possible.

Answers

yes because the answers eggs so that means 0-2 equals one and I don’t know

Please help me with this homework

Answers

Answer:

2 /3

Step-by-step explanation:

rise = 2

run = 3

slope = rise/run

Answer:

2/3

Step-by-step explanation:

rise over run

Wyatt buys a one-quart bottle of juice for $4.80. What is the unit rate of the cost of
the juice per fluid ounce?

Answers

Answer:

Unit rate per fluid ounce = $0.15

Step-by-step explanation:

Given that:

Cost of one quart bottle of juice = $4.80

We know that:

One quart = 32 ounces

Unit rate is the rate in which two quantities are compared and one of them is one.

Unit rate = [tex]\frac{4.80}{32}[/tex]

Unit rate = $0.15 per fluid ounce

Hence,

Unit rate per fluid ounce = $0.15

What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the segment into a ratio of 2 to 1?

Answers

Given:

The directed line segment from (-2, -5) to (7, 10).

A point partitions the segment into a ratio of 2 to 1.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

The point divides the line segment from (-2, -5) to (7, 10) in 2:1.

Using section formula, we get

[tex]Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)[/tex]

[tex]Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)[/tex]

[tex]Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)[/tex]

[tex]Point=\left(4,5\right)[/tex]

Therefore, the coordinates of the partition point are (4,5).

Answer:

4.5

Step-by-step explanation:

Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,
obtuse or right.
5, 7, 10

Answers

Answer:

steps below

Step-by-step explanation:

1. It can be formed a triangle: sum of any two sides is greater than the 3rd side

2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²

   the triangle is an obtuse-angled triangle if  the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)

What is 11/4 multiplied by 1/9 in fractions

Answers

Answer:

11/36

Step-by-step explanation:

Hope this helps :)

Function
Not a function
y
5
4
3
2+
-5 -4 -3 -2 -1
+ X
1 2 3 4 5
-2 +
-3
-4
-5

Answers

Answer:

Function

Step-by-step explanation:

We can tell if the graph is function or not by doing line test.

First, we draw a vertical line.

Second, if the graph intercepts the line more than two points then it won't be a function.

If the graph only intercepts the line only once (one point) then It is a function.

From the graph, It is a function.

During the fall a pumpkin patch advertises 4 pumpkins for $11.00. Which equation below represents this situation, where x is the number of pumpkins and y is the total amount due.
A:y=4/11x
B:y=2.75x
C:y=0.36x
D:11y=4x

Answers

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBbbbBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

10 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=9

Step-by-step explanation:

9 to the power of 6 is 531441

9 to the power of 3 is 729

531441 divided by 729 is 729

a third root of 729 is 9 because 9 times 9 times 9 is 729

so x is 9

please mark me as brainliest!!<3

Answer:

Step-by-step explanation:

I think it's X9?

help pls i’m bout fail math:/

Answers

Answer:

B would be the right answer

If a factory can produce 410 sandwiches in 1 hour, how many sandwiches will it produce in 5 hours?

Answers

The answer is 2050 I believe

Every hour the factory makes 410 sandwiches so if we multiply this by 5 we should get our answer

410 x 1= 410

410 x 2= 820

410 x 3= 1230

410 x 4= 1640

410 x 5= 2050

how to draw angle of 135 degree​

Answers

Answer:

So draw a straight line. This measures as 180 degrees on your protractor. Align your protractor to the straight line, with the circle point in the middle of the line and notice the labels on the side. One of them, between 90 and 180 on the outer scale will measure as 135. Mark this on top of the paper, and remove the protractor. When you remove it, extend your mark to the middle of your line, and this gives you an obtuse angle of 135 degrees. Be sure to recheck!

Step-by-step explanation:

Answer:

see the pic

Step-by-step explanation:

Hope it will help :)

To the nearest penny, what is the value of x?

Answers

Answer: $43.20

Step-by-step explanation:

43.20 is the answer hope Thai helps

f(x) = 2x² + x at (-1, 1)

Answers

Answer:

[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]

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