Show that (2, 1) is a solution of the system of equations.
x + 3y = 5,
y = –x + 3

Substitute (2, 1) into x + 3y = 5 to get "Blank"
1+32=5
1+3(2) = 5
2+31 = 5
2+(3)=5
.
Simplify the equation to get "Blank"
5=5 is true
7=7 is true
7=5 is false
33=5 is false
.
Substitute (2, 1) into y = –x + 3 to get "Blank"
1= - (2)+3
1= - (2+3)
2= - (1) +3
2=-(1+3)
.
Simplify the equation to get "Blank"
1=1 is true
1 = - 1 is false
2 = 2 is true
2 = - 2 is false
.

Answer:

L = 3 cm

Step-by-step explanation:

let lenght be L

First convert area in cm

1 m = 100 cm

12 m = 1200 cm

Area of rectangle =   width x lenght

1200 cm = 400 cm x L

1200 /400 = L

3 cm = L

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Answer:

y<−2

Step-by-step explanation:

−6y−2>10

Add 2 to both sides.

−6y>10+2

Add 10 and 2 to get 12.

−6y>12

Divide both sides by −6. Since −6 is negative, the inequality direction is changed.

y<12/-6

Divide 12 by −6 to get −2.

y<−2

Answer:

..........................

Answer:

the critical value for 0.87 level of confidence is 1.51

Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2  = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

[tex]Z_{0.935[/tex] is obtained as follows;

P( Z < z ) = 0.935

so we find the value from ( standard normal distribution table )

P( Z < 1.51 ) = 0.935

Therefore, the critical value for 0.87 level of confidence is 1.51

Answer:

what i got was

y-1=2x-8¬y=2x-7

9514 1404 393

Answer:

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

__

The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

Answer:  

​AB¯¯¯¯¯​ is reflected across the y- axis to form A′B′¯¯¯¯¯¯¯​ .

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

Answer:

it's 21 because if you do 7x3 you get =21

15%

350x0.15=52.5

350-52.5=297.5

Answer:

14x

Step-by-step explanation:

The (6x+1) = 7 and the other equation also equals 7 so you add together and just ad the x variable since there is no answer

Answer:

Hey!

Step-by-step explanation:

Hope this helps you!

Best of luck! <3

Answer:

y=3

x=2

Step-by-step explanation:

Making substitution

y+7=5x

y=5x-7

Substituting the y into the other equation

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x=-14-12

-13x=-26

x=2

We have x=2 then substitute it into the first equation

y+7=5(2)

y+7=10

y=10-7

y=3

So the answer is

y=3

x=2

Answer:

x=2 and y=3

Step-by-step explanation:

After solving, you can check your work by substituting the values of x and y into the equations and solving for them.

3+7=10

10=10

-6-6= -12

-12 = -12

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

[tex](-10)^2 = 100[/tex]

second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]

Answer:

x (x-20)

Step by step

Answer:

5×14×14×4=3,920 cm

Step-by-step explanation:

Multiply all numbers to find the area.

Answer:

c). Muscle

tendons are tissues that connect muscles to bone

hope it helps

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

[tex]d^2 = l^2 + l^2[/tex]

Where:

So, we have:

[tex]d^2 = 3^2 + 3^2[/tex]

Evaluate the like terms

[tex]d^2 = 2(3^2)[/tex]

Take the square roots of both sides

[tex]d =3\sqrt2[/tex]

Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

Read more about diagonals at:

https://brainly.com/question/654982

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

Answer:

12, 12

Step-by-step explanation:

4x+12=60

x=12

7y-8+7y+20=180

14y=180-12

y=168/14

y=12

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.

Answer: 3/5

Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2

hoped this helped:)

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=

[tex] \frac{3}{5} [/tex] ....

Answer:

Step-by-step explanation:

C

Answer:c

Step-by-step explanation4/8= 1/2

3*1/2= 1.5

Janet uses 1 and 1/2 cups of flour this week.

That is less than four cups, so we can eliminate statement A and B.

It is not less than one though because 1.5>1

"C" is the correct answer. She uses less than four cups because 3/8 (1.5) is less than 4.:

Answer:

I'm going to guess and say that if HM is one side and OE is the other side of a rectangle, then:

OE = 3 cm

Step-by-step explanation:

36/12 = 3 cm

Answer:Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm. Thus, the perimeter of an equilateral triangle is 3 times the length of each side. Area of a two-dimensional shape is the space occupied by the shape.

Step-by-step explanation:

i tryed.

Answer:

here ya go :)

Step-by-step explanation: