True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (1 pts)



(5,2) is a solution to the equation 2x + 3y = 10.

Answers

Answer 1

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

[tex]2x+3y=10[/tex] ⇒ [tex]2(5)+3y=10[/tex]

then plug in 2 for [tex]y[/tex].

[tex]2(5)+3y=10[/tex] ⇒ [tex]2(5)+3(2)=10[/tex]

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

[tex]2(5)+3(2)=10[/tex] ⇒ [tex]10 + 3(2) = 10[/tex]

multiply 3 · 2.

[tex]10 + 3(2) = 10[/tex] ⇒ [tex]10 + 6 = 10[/tex]

add 10 + 6.

[tex]10 + 6 = 10[/tex] ⇒ [tex]16=10[/tex]

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3


Related Questions

pease help me i really need this

Answers

Answer:

2:140

1:70

Step-by-step explanation:

:)

420 divide by 6 is 70
70 x 2 is 140
70 x 1 is 70
he drove 140 miles in 2 hours, and 70 miles in an hour

Determine the follwoing quadratic equation:
0 = -3x2 + 17x – 10

What is the value of "B"?
A) -10
B)10
C)-17
D)17

Answers

Answer:

sorry but the epuation is in,but I will try

Step-by-step explanation:

0 = -3×2+17x-10

0= -6+17x-10

0+6+10=17x

16=17x

x=17/16

The answer to 0=-3x2+17x-10 is
C)-17

Find the missing number in the proportion.

23 over 50 = ___ over 100​

Answers

Answer:

46

Step-by-step explanation:

let that number x

so [tex]\frac{23}{50} =\frac{x}{100}[/tex]

I do cross multiplication so 23*100=2300 and 50*x=50x

so 50x=2300 divide both by 50

x=46

Answer:

46

Step-by-step explanation:

since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.

please answer 1-8 godbless​

Answers

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

How many significant figures will the answer to the following problem have? You do not have to solve the problem. 8.82 -3.4 =​

Answers

Answer:

5.42

Step-by-step explanation:

8.82 -3.4 = 5.42

The solution to the problem will have two significant figures.

What are significant figures?

The number of digits in a value, generally a measurement, that contributes to the degree of precision of the value is referred to as significant figures. At the first non-zero digit, we begin calculating significant numbers.

The given problem 8.82 -3.4 has two digits after the decimal place. Hence, The solution to the problem will have two significant figures.

Learn more about Significant Figures:

https://brainly.com/question/14359464

#SPJ2

Find the greatest common factor of 9n² and 6m⁴?​

Answers

the GMF of 9n^2 and 6m^4 is 3

Help me pls pls help

Answers

Double 8 means to do 8 x 2 and you also need to do 4x2. In the end you need to subtract the two numbers so you need brackets.

This means (8x2)-(4x2) is the correct answer!!

Hope this helps :)

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?

Answers

Answer:

i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

ii. Remaining people would pay $10 each.

Step-by-step explanation:

Total number of people involved = 6

Total bill of their lunch = $72

Mary and Josephine paid = $20 + $12

                              = $32

The remaining bill to be paid = $72 - $32

                              = $40

The rest of the group = 4

Splitting the remaining bill equally,

the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

                                     =  ($40) ÷ 4

                                     = $[tex]\frac{40}{4}[/tex]

                                    = $10

The amount that each of the remaining people would pay is $10.

Find f(x)=(x^2)+x+39, when x=50. (don't write a comma in answer.)

Answers

f(x) = x² + x + 39

f(50) = 50² + 50 + 39

f(50) = 2500 + 89

f(50) = 2589

hey could somebody help me please :)

Answers

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Someone help me with what p and q equals?

Answers

q = 6 and p = 5

It’s a parallelogram so the side opposite are the same.

6 = q - 3
Subtract 3 and add it to 6 and you get 9
9=q

I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?

Answers

Hi, I’d need to see the specific question.
circumference=pie x diameter

Step-by-step explanation:

you need either:

the diameter- the distance from one side to the other, or

the Radius- the distance from the center to the edge

the diameter is always double the radius, and accordingly the radius is always half the diameter.

so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14

if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.

hope that helps!

Find the measure of.. (image included)
I need help please! My teacher changed the due date to today and I don't understand it.

Answers

the answer is b . 50 degrees

Answer:

B) 50

Step-by-step explanation:

<A = x + 53

x + 53 + x + 83 + 50 = 180

2x + 186 = 180

2x = -6

x = -3

<A = x + 53

-3 + 53

50

Evaluate: 5^-2 plsssss

Answers

Answer:

0.05

Step-by-step explanation:

5^-2 =

Move the decimal two spaces to the right and you get,

0.05

Hope that helps!

Answer:

the exact form is 1/25 and the decimal form is 0.04 hope dis help

Step-by-step explanation:

a part of a line with endpoints on both ends a(n):

Answers

The answer is line segment

Answer:A part of a line with endpoints on both ends is a(n):

A line with 2 endpoints is called a line segment. We know that it is a segment because the endpoints make the line finite

Step-by-step explanation:

2
3
4
5
Simplify.
(-v2+3v – 7) + (402+5v+6)

Answers

Answer: -v^2 + 8v + 401

Step-by-step explanation:

In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership

Answers

Answer:

20% increased

Step-by-step explanation:

help me please fast i’m in need

Answers

Answer:

es la  

A

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

45

Step-by-step explanation:

Answer:

the answer would be 45 degrees

Step-by-step explanation:

this is because when you look at the rectangle all for interior angles ar e90 degrees each and the line cuts perfectly from one side to the other forming two right triangles. in a right triangle the two acute angles equal 45 degrees each.

let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical angles what is the measurement of <1 plus the measure of <3 minus the measure of two

Answers

Answer:

180 Vertical angles are opposite angles that share only a vertex.  Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.

This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

I think the last one is the answer

Solve this question :​

Answers

9514 1404 393

Explanation:

For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.

We will change the left side to the form of the right side.

  [tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]

__

The equivalents (identities) used are ...

  1+tan² = sec²

  1+cot² = csc²

  1/csc = sin

  sec = 1/cos

how do I find the ratio​

Answers

Answer:

Ratios are like fractions. It is one part divided by the total amount of parts.

Step-by-step explanation:

for example there are 2 boys and 5 girls

so the ratio of boys to girls is 2:5

CAN SOMEONE PLEASE HELP ME WITH THIS??

Answers

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.

Answers

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

Madeline needs to find the slope of the line that passes through the points (9, 12) and (7,4) she sets up the following work​

Answers

Answer:

         4

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]

Select the ratios that are equivalent to 11:1.
Choose 3 answers:
A-1:11
B-22:2
C-55:5
D-9:99
E-110:10

Answers

Answer:

i think the answer is B . 22::2

What is the area of this composite figure??

Answers

Answer=53

Step-by-step explanation:

WORTH 24 POINTS PLS HELP

On the blueprints for a new house, a wall measures 3.5 inches. If the map scale is 1.25 inches to 2 feet, how long will the actual wall be?

Answers

Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...

Step-by-step explanation:

Which equation is graphed here?
A) y=3
B) x=3
C) y+1=3
D) x-1=3

Answers

the answer is A. y=3
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