Given the system of equations y = 6x - 10 and 2x + 3y = 10, is the point (2,2) a solution?

Answers

Answer 1

Answer:

Step-by-step explanation:

hello :

y = 6x - 10 (*)

2x + 3y = 10...(**)

by (*) put this value of y into (**) : 2x+3(6x-10)=10

2x+18x-30 = 10

20x=40  so :  x= 2  but  y = 6x - 10        y = 6(2)-10 =2

one solutions (2,2)


Related Questions

2 Points
What is sin 60°

Answers

Answer:

As in Decimal: 0.86602540378

Angle Tan=Sin/Cos

30°          1 √3 = √3 3

45°          1

60°     √3

Step-by-step explanation:

Answer: 0.8660

Step-by-step explanation:

In a right angle triangle

According to the diagram below

Sin60= opposite/hypothenus

Sin60= 1/square root of 2

Sin60= 0.8660

WILL MARK BRAINLIEST

what does it mean for a point to be a solution to a linear equation?

For example, if I say, (2,5) is a solution to the equation y= 2x+3, how could you check my claim?

Answers

y=mx+b

it is pretty simple, the m stays the same and is the x, so (2,_) and then the b is the slope so you add the b and m together to get 5 (2,5)

will give brainiest if answered plz helpp!!!!!

Answers

Answer:

umm

Step-by-step explanation:

not sure but copy and paste to google

Factor the quadratic expression 4x^2-8x+3

Answers

Answer: (2x-1) (2x-3)

Step-by-step explanation:

The perimeter of a rectangular field is 312 m. If the length of the field is 91 m, what is its width?

Answers

The width of the rectangular field is 65!! If two of the sides are 91 m, that’s already 182 m of your perimeter. Then subtract 182 from 312 to get 130. Finally, divide 130 in half to get your answer of 65.

f(x)=0.2(x-2)(x+1)(x-5) determine end behavior

Answers

This will result in a cubic form (x^3). 0.2 is positive so it will not change the end behavior as far as direction. The right end behavior with be positive and the left end will be negative.

Answer:

Step-by-step explanation:

a driveway measuring 140 square feet is to be paved. Harry has an apprentice working for him and divides the job between the two of them so that the area he paved divided by the area his apprentice paved equals 3. find x, the area harry will pave

Answers

Answer:

Step-by-step explanation:

Th e answer would be 180

The area that Harry will pace 105 ft.²

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

If the area he paces divided by the area his apprentice paces equals three, then we can write it as;

J/a = 3

In ratio form,

J : a = 3 : 1

Where J. represent Harry and. a represent the apprentice. Hence,

Therefore, the area Harry will pace;

= ( 3/4) × 140 ft.²

= 105 ft.²

Learn more about ratio here:

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Write an equation of the line that passes through the points (0,4) and (2,10).

Answers

Answer:

First you find the slope:

(10-4)/2 = 6/2 = 3

Then you write a point-slope equation:

y-4=3x

in slope-intercept form:

y=3x+4

Answer:

The equation of the line is y = 3x + 4.

Step-by-step explanation:

First find the slope of the line:

Slope (m) = rise / run

= difference in y coordinates / difference in corresponding x coordinates

= (10-4) / (2 - 0)

= 6/2

= 3..

The line  is written as

y = m x + b

We have just found m (= 3). Now we find the value of b by substituting the point (0, 4) into this equation.

4 = 3(0) + b

b = 4.

So the required equation is y = 3x + 4.

» Leila has 36 photos of her friends. She puts 6 photos on each page
in her scrapbook. How many pages does Leila use?

Answers

Answer:

She uses 6 pages  because 36/6=6

Step-by-step explanation:

Answer:

Leila uses up 6 pages.

Step-by-step explanation:

What you are supposed to do is division.

36 ÷ 6 = 6

6 on the first page.

6 on the second page.

6 on the third page.

6 on the fourth page.

6 on the fifth page.

6 on the seventh page.

If you add the six 6's you get 36.

6+6+6+6+6+6=36

The school cafeteria has 19 round tables and 13 rectangular tables. Each round table has 3 chairs, and each rectangular table has 7 chairs. How many chairs are there in all?
WILLL GIVE BRAINLIST!!!

Answers

Answer:

148

Step-by-step explanation:

19 round tables

13 rectangular tables

19 x 3 = 57

13 x 7 = 91

57 + 91 = 148

Answer:

[tex]148 \: \: chairs[/tex]

Step-by-step explanation:

[tex]19 \times 3 = \: \: \: \: \: \: 57 \\ 13 \times 7 = + 91 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 148[/tex]

Island Nautical Supply Co. is having a sale on kayaks, 20% off of the regular price. You found a super nice one that is regularly priced at $259.00. How much will it cost after the sale? (Show Work.)

A: $51.80
B: $239.00
C: $207.20

Answers

Answer:C

Step-by-step explanation:

Multiply 259 by .2 then subtract that number (51.8) from 259

Answer:

c

Step-by-step explanation:

you will divide 259.00 by 20%

Jodie ran at an average spared of 6 km/h for 10 minutes. How far did she run in km

Answers

Answer: 1km

Step-by-step explanation:

Since she runs 6km per hour you have to divide your varibles

Answer:

60km

Step-by-step explanation:

D=SxT

D=6x10=60

A spinner has 10 ​equal-sized sections. Two of the sections are red.
a. What is the probability that the spinner will land on red​?
b. Use words to describe the probability.

Answers

Answer:

a. Probability of landing on red = [tex]\frac{1}{5}[/tex]

b. See Explanation

Step-by-step explanation:

Given

A Spinner

Number of section = 10 (equal sized)

Number of red section = 2

Required

- Probability of landing on red

- Describe the probability in words

Calculating the probability of landing on red

The formula used in calculating probability is as follows

Probability = Number of required outcomes / Number of possible outcomes

In this case, the number of required outcomes is the number of red section.

Hence, number of required outcomes  = 2

And the number of possible outcomes is the total section of the spinner

Hence, Number of possible outcomes = 10

By Substitution

Probability of landing on red = [tex]\frac{2}{10}[/tex]

Probability of landing on red = [tex]\frac{1}{5}[/tex]

Describe the probability in words

From (a) above, we have that the probability of the spinner landing on color red is [tex]\frac{1}{5}[/tex]

This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.

Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
A. `a_(n)=3+5n`
B. `a_(n)=3-5n`
C. `a_(n)=13+5n`
D. `a_(n)=13-5n`

Answers

Answer

a. a_(n)= 3+5n

A wildlife biologist catches and releases 20 fish from two different lakes at random locations. He catches 10 fish at Lake Palmer and 10 fish at Lake Dalton. He measures the length of each fish to the nearest quarter of an inch. Palmer Dalton First Quartile 6.75 5.5 Second Quartile (Median) 10.25 6.75 Third Quartile 13 7.5 Based on the samples, what generalization can be made? A. Not enough information is provided to draw any of these conclusions. B. The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton. C. The interquartile range for Lake Dalton is 2 inches greater than the interquartile range for Lake Palmer. D. At least 25 percent of the fish in both lakes are no longer than 6 inches
Please put the correct answer, if it's correct i will mark with the crown and give a good rating
Thanks!

Answers

Final answer:

Option B is the correct answer, as it correctly states that the first quartile value of fish lengths at Lake Palmer is 1.25 inches longer than that of Lake Dalton.

Explanation:

The question provides quartile data for fish lengths caught in two different lakes and asks to generalize the findings based on the provided information. First, let's analyze the provided options:

Option B: Incorrect, because the difference between the first quartiles of Lake Palmer (6.75 inches) and Lake Dalton (5.5 inches) is 1.25 inches, hence true.Option C: Incorrect, because the interquartile range (IQR) for Lake Dalton (7.5 - 5.5 = 2 inches) is not 2 inches greater than the IQR for Lake Palmer (13 - 6.75 = 6.25 inches).Option D: Incorrect because at least 25 percent of the fish in Lake Dalton are no longer than 5.5 inches, and at least 25 percent of the fish in Lake Palmer are no longer than 6.75 inches. Hence, not all fish in both lakes are no longer than 6 inches.

Therefore, the correct generalization can be made from Option B. It provides accurate comparison based on the first quartile values of fish lengths in both lakes.

I need help with this problem plz!!!!

Answers

Answer:4 9 2

Step-by-step explanation:

those are the answers

Answer: a) 40 inches

b)9600 in^2

( the 2 goes on top of “in”)

Step-by-step explanation: s= 40 inches

substitute the side length into the formula for the surface area of a cube.

The tax rate is 6.8 what is the tax on $9.95

Answers

Answer:

6.77, about 68 cents.Step-by-step explanation:Factor in your givens:

Tax rate = 6.8%

Total Currency = 9.95

Step 1:

68 / 100 = 0.68

Step 2:

0.68 * 9.95 = 6.766

I hope this helped!

Find the slope of the line through the points (4, -1) and (-2, -1).

Answers

To find the slope (m), use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]        And plug in the two points

(-2, -1) = (x₁, y₁)

(4, -1) = (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-1-(-1)}{4-(-2)}[/tex]  (two negative signs cancel each other out and become positive)

[tex]m=\frac{-1+1}{4+2}[/tex]

[tex]m=\frac{0}{2}[/tex]

m = 0            

Answer:

The slope is 0.

Step-by-step explanation:

Parallel Lines never intersect
because...

Answers

Step-by-step explanation:

Well, they don't intersect because that's how they're defined. If they were to intersect then they wouldn't be considered parallel lines.

Parallel lines never intersect because they are always equidistant from each other, meaning they maintain the same distance apart at every point along their length.

What are parallel lines?

If the two original lines are parallel, then these two angles must be equal, since they are corresponding angles. However, if we extend the third line far enough, the angles will eventually add up to more than 180 degrees, which is impossible in a Euclidean plane. Therefore, the third line cannot intersect the two parallel lines, and they will never meet.

Consider two lines in a two-dimensional plane. If they are parallel, they will never cross each other no matter how far they extend. Imagine drawing a third line that intersects both of them at some point. This will create two angles where the two lines meet the third line, forming a triangle.

This property of parallel lines has many practical applications in fields such as engineering, architecture, and mathematics, where parallel lines are used to create accurate drawings and models of structures and systems.

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You drove 500 miles in 6 hours. Should you get a speeding ticket if the speed limit is 70 mph

Answers

Answer:

Yes, because you'd be going about 83 miles per hour.

Step-by-step explanation:

500 divided by 56

= 83.333

Circle O is inscribed in the given triangle. What is the perimeter of the triangle?

Answers

Answer:

44 units

Step-by-step explanation:

just answered on edg 2020

Final answer:

When a circle is inscribed in a triangle, its radius is equal to the distances between the points of tangency on each side and the center of the circle.

Explanation:

When a circle is inscribed in a triangle, it is tangent to all three sides of the triangle.

The perimeter of the triangle can be found by adding the lengths of the three sides.

Since the circle is inscribed in the triangle, the lengths of the sides of the triangle are equal to the distances between the points of tangency on each side and the center of the circle.

Therefore, the perimeter of the triangle is equal to the sum of these distances.

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18. Octavio got a job at Subway. He makes $14 per hour. On Saturday he worked 8 hours, on Monday he worked 6
hours and on Thursday he worked 5 hours. He borrowed $95 dollars from Antonio to buy tickets to a concert. How
much money did he have left from his paycheck (before taxes) after paying back Antonio?
steps ?

Answers

Answer:$171

Step-by-step explanation:

8*14= 112

6*14=+84

5*14=+70

      =266

         -95

      = 171

Heather and Marcus are
training for a marathon. Heather
ran 48.6 miles last week. Marcus
completed 90% as many miles as
Heather. How many miles did
Marcus run?​

Answers

Marcus ran 43.74 miles.

Take 90% of 48.6 miles by multiplying .90 by 48.6

48.6(.90)=43.74 miles

I dont understand this please help

25y−4+7−910y =

Answers

You have to combine like times then solve the equation sooo.....
-910y+25y=?
-4+7=?
So whatever those answers, you will use them to make your new equation to find what y equals.

Hope this helps!

Twenty gremlins and fifteen imps are at the Annual Mischief Convention. The imps have had a lot of in-fighting lately and refuse to shake hands with each other, but they readily shake hands with all of the gremlins. Meanwhile, all the gremlins are quite friendly and shake hands with all of the other gremlins as well as imps. Each pair of creatures shakes hands at most once. How many handshakes were at the convention?

Answers

Answer:

490

Step-by-step explanation:

Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.

There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.

Adding these up, you have $300 + 190 = 490 total handshakes.

Hope this helps!

What is the length of the line segment?

Answers

Answer:

A. 8

Step-by-step explanation:

How to solve 17 = x/2 + 1​

Answers

Answer:

x = 32

Step-by-step explanation:

17 = x/2 + 1

17 - 1 = x/2

16 = x/2

16 / 1/2 = x

16 * 2/1 = x

32 = x

Answer:

x = 32

Step-by-step explanation:

to solve for this expression  17 = x/2 + 1​ , we need to collect the like terms and then evaluate for the value of x.

solution

17 = x/2 + 1​

17 - 1 = x/2

16 = x/2

using cross multiplication method

x = 16 x 2

x = 32

A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, If necessary.

Answers

The running area the dog has is 942 feet squared.

Identify the type of function.
y = (x-5)(x-2)

Answers

Answer:

Quadratic

Step-by-step explanation:

Which system of inequalities has no solution?
A. y < 2x − 4
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Part B
Select all the possible ways that you could change the system so it has a solution.
A. Change the direction of the inequalities.
B. Decrease the coefficient of x in the first equation.
C. Increase the coefficient of x in the first equation.
D. Increase the coefficient of x in the second equation.
E. Decrease the coefficient of x in the second equation.

Answers

Answer:

Part 1: A

Part 2: BCDE

Step-by-step explanation:

For part 2, I'm assuming that the change of direction is for both of the inequalities.

If you want calculator for graphing, use desmos graphing calculator.

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