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Answers

Answer 1

Answer:

  (a)  no solution

Step-by-step explanation:

Writing the second equation in slope-intercept form, it becomes ...

  3x -y = 2 . . . . given

  y = 3x -2 . . . . add y-2 to both sides

The first equation is already in slope-intercept form:

  y = 3x +3 . . . . first equation

The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.


Related Questions

Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)

Answers

Answer:

slope= -1  1/6

Step-by-step explanation:

x1 y1  x2 y2

-2 5  4 -2

   

(Y2-Y1) (-2)-(5)=   -7  ΔY -7

(X2-X1) (4)-(-2)=    6  ΔX 6

   

slope= -1  1/6    

B= 2  2/3    

The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.

Answers

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

one number exceeds the other by 35 (i.e  their difference is 35)sum of two numbers is 75

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

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She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s

Answers

Answer:

per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s

Step-by-step explanation:

divide both sides by 55 to get one.

divide both sides by 25 to get one

THEN

to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.

n-9 = 13
------------------

Answers

Answer:

n-9=13

n=22

Step-by-step explanation:

Answer: n = 22

Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22

Write an inequality and show on a number line all numbers:

greater than (-3) but less than or equal to 3

(enter the inequality in terms of x)

Eg. x<-3; 3 7

Answers

Answer:

The inequality is:

- 3 < x ≤ 3

And the graph is attached

Greater than -3

x>-3-3<x

Less than or equal to 3

x≤3

For number line

put a open dot at -3

put a close dot at 3

join them

Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56

Answers

Answer:

A

Step-by-step explanation:

Note the expansion

tan(a - b) = [tex]\frac{tana-tanb}{1+tanatanb}[/tex]

We are given the right side of the expansion , then left side is

tan([tex]\frac{\pi }{7}[/tex] - [tex]\frac{\pi }{8}[/tex] )

= tan([tex]\frac{8\pi -7\pi }{56}[/tex] )

= tan ([tex]\frac{\pi }{56}[/tex] ) → A

Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?

Answers

A because le puede hacer el pedido para la que oop no se w no

What is the smallest prime number that is also a multiple of 20?

Answers

Answer:

Hello,

Step-by-step explanation:

In order to cut off ( pour couper court)

all multiple of 20 are divisible by 20, so they are not primes.

13. Find a four digit number that is divisible by 3,
5, and 8.

Answers

Answer:

3×5×8=120

Step-by-step explanation:

divisibility and prime number

Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?

Answers

Answer:

late January or early February

Step-by-step explanation:

On using logical reasoning, we deduce that this month is November.

What is logical reasoning?

Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.

One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.

This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.

This implies, Tony will get married in month of December.

We know, Tony gets married next month. So, this month is November.

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For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:

Answers

There is no a that will make f(x) continuous.

No matter what value of a you pick, you will always have the one-sided limits,

[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

but f(a) = 8 regardless of a.

Plzzzzz Help me 10 points and will mark brainiest

Answers

Answer:

x=21

Step-by-step explanation:

We can use a ratio to solve

45          27

------ = ----------

35            x

Using cross products

45x = 35*27

45x = 945

45x/45 = 945/45

x  =21

Answer:

21

Step-by-step explanation:

The ratio of A to B is 45 / 35, which is equal to 9 / 7. To get from B to A, the ratio is 7 / 9.

(7 / 9) x 27

7 x 27 = 189, 189 / 9 = 21

Brainliest, please!

Do the ratios 9/4 and 18/8 form a proportion?

Answers

Yes

Step-by-step explanation:

I believe so. Hope this helps

X/4- 2 =x/8+4

What value of x makes the equation in the reference image true ?

Answers

Answer:

The answer to your question is x=48

Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.

x/4−2=x/8+4

1/4x+−2=1/8x+4

1/4x−2=1/8x+4

1/4x−2−1/8x=1/8x+4−1/8x

1/8x−2=4

1/8x−2+2=4+2

1/8x=6

8*(1/8x)=(8)*(6)

x=48

7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但

Answers

Answer:

000

Step-by-step explanation:

000

In the adjoining fig. In a circle with centre C and chord DE ,ahe CF perpendicular to chord DE.If diameter of a circle is 20cm and DE=16cm,then CF=?GIVE REASON​

Answers

DC=CF

Diameter=20cmRadius=20/2=10cm

We know

[tex]\boxed{\sf L=\dfrac{\theta}{180}\times πr}[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{90}{180}\times \dfrac{22}{7}\times 10[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{1}{2}\times \dfrac{220}{7}[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{110}{7}[/tex]

[tex]\\ \large\sf\longmapsto L=15.5[/tex]

Now

[tex]\\ \large\sf\longmapsto CF=L+r-DE[/tex]

[tex]\\ \large\sf\longmapsto CF=15.7+10-16[/tex]

[tex]\\ \large\sf\longmapsto CF=25.7-16[/tex]

[tex]\\ \large\sf\longmapsto CF=9.7cm[/tex]

[tex]\large\sf\red{⟼L=18090×722×10}[/tex]

[tex]\begin{gathered}\\ \large\sf\red{ ⟼ L=\dfrac{1}{2}\times \dfrac{220}{7}}\end{gathered}[/tex]

[tex]\begin{gathered}{ \large\sf\red{⟼ L=\dfrac{110}{7}}\end{gathered}[/tex]

L=15.5

Now

CF=L+r−DE

CF=15.7+10−16

CF=25.7−16

⟼CF=9.7cm

PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM

Answers

Answer:

b=12

Step-by-step explanation:

b^2+35^2=37^2

b^2+1225=1369

b^2=144

b=12,-12

Lengths can't be negative, so b=12

Answer:

b=12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

35^2 + b^2 = 37^2

1225+b^2 =1369

b^2 =1369-1225

b^2 = 144

Taking the square root of each side

sqrt(b^2) = sqrt(144)

b=12

Can someone help me solve please
[tex]x + 2 \sqrt{x} - 3 = 0[/tex]

Answers

Answer:

x = 1

Step-by-step explanation:

Given

x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )

2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )

4x = (3 - x)² ← expand using FOIL

4x = 9 - 6x + x² ( subtract 4x from both sides )

0 = x² - 10x + 9 ← in standard form

0 = (x - 1)(x - 9) ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution

x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0

x = 9 is an extraneous solution while x = 1 is a solution

heeeellllp...

...

...

...

...

...

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Answers

Answer:

didn't shade all of them

factorise the quadratic equation x square + 2 x + 36​

Answers

Answer:

Click on the link below to view the answer with the explanation in futher detail

Explanation:

Click the attached link to view the answer

Find the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65

Answers

Answer:

C

Step-by-step explanation:

b=360-2(65)=360-130=230

Answer:

230

Step-by-step explanation:

b= 360-2(65)

=360-130

=230

An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?

Answers

Answer:

36 ft²

Step-by-step explanation:

equilateral means all sides are equally long.

a triangle has 3 sides.

in our case they are all equally long.

and their sum (all 3 sides together) is the perimeter

P = 18 = 3 × side length

side length = 18/3 = 6 ft

a square with the same side length (6) had then an area of

side length × side length = 6×6 = 6² = 36 ft²

it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.

Pls help!! find the area of the shaded region.

Answers

Answer:

134.1

Step-by-step explanation:

Area of the circle = 49π = 153.9 (rounded to the nearest tenth)

Segment area,

49/2(150π/360-sin(150))

= 19.8 (rounded to the nearest tenth)

Subtracting them,

153.9-19.8

= 134.1 cm²

Answered by GAUTHMATH

The area of the shaded region is 134.1 cm²

What is a segment of a circle?

'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'

According to the given problem,

Area of the circle = πr²

                              = π × 7 × 7 cm²

                              = 153.9 (rounded to the nearest tenth)

Area of the Shaded region,

= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]

=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]

= 19.8 (rounded to the nearest tenth)

Subtracting them,

= 153.9 - 19.8

= 134.1 cm²

Hence, we can conclude that the area of the shaded region is 134.1cm²

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Find the 6th term of each geometric sequence. 9, 45, 225, 1125

Answers

Answer:

28125    

Step-by-step explanation:

Refer to the image below.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.

A. 3.5
B. 5.75
C. 4.5
D. 8

Answers

Answer:

I am thinking it's c

I am not sure

Answer:

25th Percentile: 3.5

50th Percentile: 4.5

75th Percentile: 8

= Interquartile Range: 4.5

I think it shows it's '4.5'.

C

A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?

Answers

Answer:

6.25%

Step-by-step explanation:

The probability of landing on B once is 25%.

So you multiply 25% by 25%.

0.25×0.25

The answer is 0.0625.

Converting back to %, its 6.25%.

I hope this helps!

pls ❤ and mark brainliest pls!

Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
How many is four score and 7?

Answers

Answer:

answer for the question is 87

A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco

Answers

Answer: electronics

Hope that helps

The option that is not considered a sin tax is option B, gambling.

What is a sin tax?

A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.

From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.

Then the option that is not considered a sin tax is option B, gambling.

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round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

please someone help me! asap!!

Answers

Answer:

Last option= 30 minutes

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