Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0,6). C. The system has a unique solution at (0,-4). D. The system has infinitely many solutions.

Which Statement About This System Of Equations Is True? A. The System Has No Solution. B. The System

Answers

Answer 1

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]

slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

Answer 2

Answer:

[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

For the system of equations to have solutions, the two equations have to intersect on the graph.

The two lines on the graph never intersect, therefore there are no solutions for the system of equations.


Related Questions

There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?

Answers

Answer:

dihdvsjhvbsuhdsvubhjvdhbdsvhbdsvhbkvdshbds

Step-by-step explanation:

DJ CUCRACH AAE SLAHTI8AOS

Which equation can be used to find the length of AC?
A
10 in.
b
40°
C
B
CU
O (10)sin(40°) = AC
O (10)cos(40°) = AC
1
= AC
sin(40)
10
cos(40
= AC

Answers

Answer:

AC = 10sin40°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] , then

sin40° = [tex]\frac{AC}{10}[/tex] ( multiply both sides by 10 )

10sin40° = AC

The length of the side AC of the triangle is AC = 10 ( sin ( 40 )° )

What is a Triangle?

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 triangle be represented as ΔABC

Now , the measure of ∠ABC = 40°

The height of the triangle AC = b

The base of the triangle BC = a

The hypotenuse of the triangle AB = 10 inches

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , the trigonometric relation is

sin 40° = opposite side / hypotenuse

sin ( 40 )° = AC / 10

Multiply by 10 on both sides , we get

AC = 10 ( sin ( 40 )° )

Hence , the measure of the hypotenuse of triangle is AC = 10 ( sin ( 40 )° )

To learn more about triangle click :

https://brainly.com/question/16739377

#SPJ5

i need help asap someone pleae help me

Answers

Problem 1

We have two possible answers here.

Either AC = DF is needed, or AB = DE is needed

We can't use BC = EF, as that would be ASA. The sides cannot be between the marked angles. With AAS, the sides are not between the angles.

Note: AC pairs up with DF because both segments have an endpoint at an angle with one arc marking. AB pairs up with DE because one endpoint has a double arc marking.

==========================================

Problem 2

We have a pair of congruent sides (due to the tickmarks) and a pair of congruent angles. We need another pair of angles. We can't pick angle B = angle E, as that would give us ASA. So we must pick the other pair of angles

angle A = angle D

If angle A = angle D, then we have enough to use AAS.

what is the solution to 6x − 8 > 4x + 26

Answers

Answer:

x > 17

Step-by-step explanation:

Combine like terms,  We get:

2x > 34, or

x > 17

Elena drank 3 liters of water yesterday. Jada drank 34 times as much water as Elena. Lin drank twice as much water as Jada. Did Jada drink more or less water than Elena? Explain how you know. Did Lin drink more or less water than Elena? Explain how you know.

Answers

Complete question :

Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

Did Jada drink more or less water than Elena? Explain how you know

Did Lin drink more or less water than Elena? Explain how you know.

Answer:

Kindly check explanation

Step-by-step explanation:

Amount of water drank:

Elena = 3 litres

Jada's consumption = 3/4 times Elena's consumption,

Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres

Lin drank twice as much water as Jada, Hence,

Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres

Did Jada drink more or less water than Elena?

Jada drank less than Elena.

Explain how you know:

Jada drank 2 1/4 litres compared to Elena, who drank 3 litres

Did Lin drink more or less water than Elena?

Lin drank more than Elena

Explain how you know.

Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.

How to learn the ratio of standard angles of right angled triangle [ like sin 90=?, cos 30=?]....??​

Answers

Answer:

just learn the sin value of all the degrees

the cos values are opposite to the sin values example sin 30 degree = cos 60 degrees. and sin 45 and cos 45 remains same . use the same logic for tan and cot and also for sec and cosec . tan values are sin degrees / cos degrees

Sam counted 12 liters of hand sanitizer in the storage cabinet I lefills tihe
dispensers in seven of the examination rooms as follows: 350 ml, 600
ml, 475 ml, 580 ml, 650 ml, 720 ml, and 500ml
After filing the dispensers how many liters of sanitizer remain in the storage cabinet?

Answers

Answer:

8.125 Litres

Step-by-step explanation:

Given:

Initial volume of hand sanitizer in the storage = 12 litres

Volume of dispensers:

350 ml

600 ml

475 ml

580 ml

650 ml

720 ml and

500 ml

To find:

Volume of sanitizer left after filling all the dispensers = ?

Solution:

The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.

First of all, let us convert them into the same units i.e. litres.

We know that 1 Litre = 1000 ml

So,

350 ml = 0.350 Litres

600 ml = 0.600 Litres

475 ml = 0.475 Litres

580 ml = 0.580 Litres

650 ml = 0.650 Litres

720 ml = 0.720 Litres

500 ml = 0.500 Litres

Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres

Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.

Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres

Adam borrowed $17 from his brother on Monday, and then an additional $5 on Tuesday. How much money will Adam have to pay his brother in order to be free of debt?

Answers

Answer:

$23

Step-by-step explanation:

Answer:

$23 is how much he will owe

A wise man once said, "500 reduced by twice my age is 340." What is his age?

Answers

Answer:

500 - 2a = 340

500 - 2a - 500 = 340 - 500

-2a = -160

-2a/-2 = -160/-2

a = 80

Step-by-step explanation:

Linda scored a total of 265 points in mathematics, physics and English. She scored 7 more marks in mathematics than in English and she scored 5 more marks in physics than in mathematics. Find her scores in all three subjects.

Answers

Answer: E 265   M 272  P 277

Step-by-step explanation:

English 265

math 265+7=272

Physics 272+5=277

Please help me
Find x

Answers

Your question has been heard loud and clear.

This is a right triangle , which means it has a hypotenuse ( longest side of the triangle)

X is the length of the hypotenuse. We need to find x.

By Pythagoras theorem ,

Side^2+side^2= Hypotenuse^2

2.5^2+3^2= x^2

= 6.25+9=x^2

15.25=x^2

So , x = root of 15.25 =  3.9

Therefore , x= 3.9

Thank you

Answer:

[tex]\huge \boxed{\mathrm{3.91 \ m}}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

The hypotenuse length of the right triangle is not given.

We can use Pythagorean theorem to solve for the hypotenuse.

[tex]c=\sqrt{a^2 +b^2 }[/tex]

c is the hypotenuse length of the right triangle.

a and b are the legs of the right triangle.

[tex]x=\sqrt{3^2 +2.5^2 }[/tex]

Evaluate and solve for x.

[tex]x=\sqrt{9+6.25}[/tex]

[tex]x=\sqrt{15.25}[/tex]

[tex]x= 3.905125...[/tex]

.0091 the neatest thousandths

Answers

Answer:

the answer is .009 rounded to the nearest thousandths

8.8 + 7.8x = -7.9 - 5.5x
Round to the nearest tenth

Answers

Answer:

The value of x in this equation is -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Subtract 8.8 on both sides of the equation.

7.8x = -16.7 - 5.5x

Add 5.5x on both sides of the equation.

13.3x = -16.7

Divide 13.3 on both sides of the equation. Don't forget to round to the nearest tenth.

x = -1.3

Answer:

x = -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Add 5.5x to each side

8.8 + 7.8x+5.5x = -7.9 - 5.5x+ 5.5x

8.8+13.3x = -7.9

Subtract 8.8 from each side

8.8 + 13.3x - 8.8 = -7.9 - 8.8

13.3x = -16.7

Divide by 13.3

x = -16.7/13.3

x =-1.255639098

Rounding to the nearest tenth

x = -1.3

Simplify: 2 - 6x + 8x3 + 1 = 23

Answers

the answer x=8.5

if ur trying to solve for x

I will give you 30 points ? Need it quick please

Answers

Answer: x = 4 and length = 19 and width = 11


Explanation:

(4x + 3)(4x - 5) = 209

I did guess and check:

Plug x = 2

(4(2) + 3)(4(2) - 5) = 209
(13)(3) = 209
39 is not equal to 209

Plug x = 3

(4(3) + 3)(4(3) - 5)
= 15 x 7
= 105 is not equal to 209

Plug x = 4

(4(4) + 3)(4(4) - 5)
= 19 x 11
= 209 is equal to 209

Therefore x = 4 is correct.

Find length:

4x + 3
4(4) + 3
= 19

Find width:
4x - 5
4(4) - 5
= 11

Answer:

x = 4

Length = 19 feet

Width = 11 feet

Step-by-step explanation:

Area = Length x Width

Area = 209 ft²

Length = (4x + 3)

Width = (4x - 5)

Find:

x

Length

Width

Area = Length x Width

209 = (4x + 3) * (4x - 5)

209 = 16x² - 8x - 15

16x² - 8x - 15 = 209

16x² - 8x - 15 - 209 = 209 -209

16x² - 8x - 224 = 0

use quadratic equation to solve x:

      -(-8) + sqrt( -8² - 4 * 16 * (-224))

x =  --------------------------------------------

                   2 * 16

x = 4, x = -(7/2)   ----therefore use x = 4

solve for L:

Length = (4x + 3)

Length = (4 * 4 + 3)

Length = 19 feet

solve for W:

Width = (4x - 5)

Width = (4 * 4 - 5)

Width = 11 feet

check:

Area = Length x Width

209 = (4x + 3) * (4x - 5)

Area = Length x Width

209 = 19 * 11

209 = 209  ----- OK

help please brainliest​

Answers

Answer:

34. E 2 1/2

36. C 6cm

Step-by-step explanation:

34. ABC's triangle has 4, as it is equivalent to ADE's triangle's 10. I added 4 and 6 because the whole triangle shown is ADE. Then I did 10/4.

36. The reasoning is that on the other side, there is 9cm and 6cm which is equivalent to AB and 4cm

It goes like: 9/6 = AB/4

9 times 4 equals 36, and 36 divided by 6 is 6. Therefore the answer is 6cm.

Answer:

which one should we solve and you are from my school now a secondary school it is Michael in jss3 daisy meet me tomorrow but which questions should I solve

In a direct or linear relationship, as one variable increases, what happens to the other variable?
It increases

Answers

Answer:

In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.

Step-by-step explanation:

i hope this helps.

Pls help with this immediately!!!! Under 15 minutes!!!! Offering more than 5 points !!!

Answers

1A. 7 feet
1C. 7 Feet

Solve 5n + 6 = -3n - 10

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{n = -2}[/tex]

5n + 6 = -3n - 10

Solve for n:

Add 3n to both sides:

5n + 3n + 6 = -3n + 3n - 10

8n + 6 = -10

Subtract 6 from both sides:

8n + 6 - 6 = -10 - 6

8n = -16

Divide both sides by 8:

8n/8 = -16/8

n = -2.

Answer:

n= -2

Step-by-step explanation:

(2t-3)^3, can you help me?, please?

Answers

Answer:

8t^3-36t^2+54t-27

Step-by-step explanation:

(2t-3)^3

(2t-3)(2t-3)(2t-3)

Multiply the first two terms

(4t^2 -6t -6t+9)(2t-3)

Combine like terms

( 4t^2 -12t +9) ( 2t-3)

Multiply

2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)

Distribute

8t^3 -24t^2 +18t-12t^2 +36t-27

Combine like terms

8t^3-36t^2+54t-27

Answer:

8t³ - 36t² + 54t - 27

Step-by-step explanation:

(2t - 3)³

(2t - 3)(2t - 3)(2t - 3)

FOIL the first two binomials - first - outer - inner - last

(2t - 3)(2t - 3)

= 4t² - 6t - 6t + 9

= 4t² - 12t + 9

multiply this polynomial by the last binomial

(4t² - 12t + 9)(2t - 3)

distribute 2t

2t • 4t² = 8t³

2t • -12t = -24t²

2t • 9 = 18t

distribute -3

-3 • 4t² = -12t²

-3 • -12t = 36t

-3 • 9 = -27

combine

8t³ - 24t² + 18t - 12t² + 36t - 27

simplify

8t³ - 36t² + 54t - 27

What is the value of x in the equation 4x + 8y =40, when y=0.8

Answers

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4)  =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

In a camp, 16.1 kg of rice is cooked each week. Find the quantity of rice cooked in the month of October.

Answers

Answer:

Quantity of rice cooked in October = 71.3 kg

Step-by-step explanation:

Given:

Quantity of rice cooked per week = 16.1 kg

Number of days in a week = 7

Number of days in October = 31

Find:

Quantity of rice cooked in October

Computation:

Quantity of rice cooked in October = [Number of days in October / Number of days in a week] Quantity of rice cooked per week

Quantity of rice cooked in October = [31 / 7]16.1

Quantity of rice cooked in October = 71.3 kg

Aug 14, 8:23:51 PM
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
6.1 cm
9.5 cm
6.2 cm
8.1 cm

Answers

Hey there! I'm happy to help!

First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.

We add up the values that make up the top side so we can find find its length.

6.1+8.1+9.5=23.7

The bottom side is 8.1

We add the top and bottom sides.

23.7+8.1=31.8

We divide by 2.

31.8/2=15.9

We multiply by the height, which we can see is 6.2

15.9×6.2=98.58

Now, we find the area of the rectangle that isn't shaded.

6.2×8.1=50.22

We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.

98.58-50.22=48.36

Therefore, the shaded regions have a total area of 48.36 cm².

Have a wonderful day! :D

PLEASE HELP IM STUCK

Answers

Answer: The table on the top right corner

Answer: Answer in the steps

Step-by-step explanation:

x       y  

0      3

1        1

2        -1

3        -3

This a linear function because as the y values decrease by a constant amount the x values also increase by a constant amount.

Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She scored 225 points from right handed shots write an equation to describe the situation and find the value of l for left handed shots

Answers

Answer:

[tex]\bold{268=225+}l[/tex]

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = [tex]l[/tex]

To find:

To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]

So, the equation is:

[tex]\bold{268=225+}l[/tex]

Now, let us find the value of [tex]l[/tex] from the above equation:

[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]

Number of points scored from left handed shots = 43

I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *

Answers

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

If (5 t the power of 4)m = 5 to the power of 12, what is the value of m? (4 points) 2 3 5 8

Answers

Answer:

m = 3

Step-by-step explanation:

Given

[tex]5^{4m}[/tex] = [tex]5^{12}[/tex]

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.

Answers

Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: [tex]f(-5) = 17[/tex]

We have:

[tex]\frac{f(x)}{x + 5}[/tex] and a remainder of 17

The general rule of the remainder theorem is that:

For [tex]\frac{f(x)}{x + a}[/tex] and a remainder of b

It means:

[tex]f(-a) = b[/tex]

By comparing

[tex]\frac{f(x)}{x + a}[/tex] and [tex]\frac{f(x)}{x + 5}[/tex]

It means:

[tex]a = 5[/tex] and [tex]b = 17[/tex]

So:

[tex]f(-a) = b[/tex] becomes

[tex]f(-5) = 17[/tex]

Hence, the conclusion is that:

[tex]f(-5) = 17[/tex]

Read more about remainder theorems at:

https://brainly.com/question/13416073

The points (-7,-8) and (8,-8) fall on a particular line. What is its equation in slope-intercept form?​

Answers

Y=-8 because there is no slope

Tibet Mein kheti Karne Ka Tarika ​

Answers

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

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