Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6

Determine If (2, - 1) Is A Solution 2x - 4y = 8 To The System - 3x + 6

Answers

Answer 1

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system


Related Questions

1. Solve for X B(100,0.001), for x = 0
a. 0.905
b. 0.917
c. 0.999
d.0.976​

Answers

Answer:

a)  0.905 (3 dp)

Step-by-step explanation:

Binomial distribution X ~ B(n, p)

where n is the the number of trials and p is the probability of success

Binomial formula:

[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]

Given:  X ~ B(100, 0.001)

Therefore, n = 100 and p = 0.001

Substituting these values into the binomial formula and solving for x = 0:

[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]

[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]

[tex]\implies P(X=0)=0.9047921471...[/tex]

[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]

An animal group adopted out 1,526 cats last year. this year, they found homes for 1,214 cats. what is the percent decrease in the number of cats adopted from last year to this year?

Answers

Answer: 20.4% decrease

Step-by-step explanation:

First, find how many fewer cats were adopted out this year: 1,526 - 1214 = 312.

Now, find what percent of 1,526 312 is: 1,526 * x = 312 → x = .204 * 100 = 20.4% :)

pls help me thank you very much and if your gonna put a wrong answer dont waste my time ​

Answers

Answer:

60 degrees

Step-by-step explanation:

well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.

point grab lol

PLEASE SOLVE PRETTY URGENT

Answers

If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.

In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.

The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:

[tex]\frac{1}{4} =\frac{8}{x}[/tex]

To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:

[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]

That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.

Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: C

Step-by-step explanation:

2,914 rounded to the thousand and to nearest hundred

Answers

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

if x=2 and y=-3 solve each of the question
a) 3x+y^2=
b) 3x^2+5y^2=
c)2x+y
d)5y+x^2=​

Answers

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

     

What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?

Answers

Answer:

3.9

Step-by-step explanation:

Use the formula A = πr^2  (area of a circle = Pi times radius squared)

Plug in what we know:

48 = πr^2  (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)

15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)

3.9 = radius

The radius of the circle (rounded to the nearest tenth) is 3.1.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can use this formula to solve for the radius of the circle with an area of 48:

A = πr²

48 = πr²

Dividing both sides by π gives:

r² = 48/π

Taking the square root of both sides gives:

r = √(48/π)

r ≈ 3.1

Therefore, r ≈ 3.1.

To learn more about the circle;

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if 10x+6 = 21 then what is 15

Answers

Answer:

The answer is

1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

Find the area of the shaded region. Round to the nearest tenth where necessary (1 decimal places).
A=
14 in
8 in
5 in
25 in

Answers

Answer:

5 in

Step-by-step explanation:

The area of a composite shape: area of the bigger shape - the area of the smaller shape.

In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.

1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.

Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.

Area of a rectangle: l x w, where l is the length and w is the width.

Trapeziums

= 1/2 x (3 + 8) x 5.5 x 2

= 1/2 x 11 x 5.5 x 2

= 1/2 x 60.5 x 2

= 30.25 x 2

= 60.5

Rectangle

= 14 x 3

= 42

Area of the shaded region (bigger shape): trapezium + rectangle

= 60.5 + 42

= 102.5

2) Unshaded region (smaller shape):

Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.

= 1/2 x (14 + 25) x 5

= 1/2 x 39 x 5

= 1/2 x 195

= 97.5

3) Area of the bigger shape - the area of the smaller shape

= 102.5 - 97.5

= 5 in²

12) 26 in
17 in

13) 28 ft
20 ft

14) 27 mm
34 mm

Answers

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

If x = 5 when y = 12, find y when x = 10.

Answers

Answer:

y = 24

Step-by-step explanation:

We need to double the x value by 2 and when we do that we will get the y value .

12 x 2 = 24

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

y = 6

Step-by-step explanation:

Since x and y vary inversely, we have:

xy=k

For x= 5 and y = 12, we have:

⇒  5×12=k

⇒  k= 60

For x= 10, we have :

⇒  10y = 60

y = 60/10

y = 6

[RevyBreeze]

a yard is a shape of a triangle the height is 35 ft, and the width of 50 ft. what is the area.

Answers

Answer:

1,750

Step-by-step explanation:

35x50 that's the entire process

Are the base angles of an isosceles triangle always congruent?

Answers

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

What is the isosceles triangle?

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base.

The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

To learn more about the isosceles triangle click the link given below.

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Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display. Can a human distinguish pixels on a same-sized HDTV with 2×10^6 pixels? Explain

Answers

Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

If square root 6 is the geometric mean between 4 and another number, then the number is?

Answers

Answer:

The answer is 1.5

pls give brainliest ily<3

this is due tomorrow at 8 pls help

Answers

Answer:

a = 4 b = 2 c = 6

Step-by-step explanation:

4 + b = c

b & c are any even numbers between 2 and 9 (2, 4, 6, 8)

c > 4 ( 6, 8)

b < 6 (2, 4)

b can't be the same number, so b is 4 meaning c is 6

Answer:

b=2, c=6

Step-by-step explanation:

Find the value of x. Round to the nearest tenth of a unit. Show work.

Answers

Answer:

x = 41.16

Step-by-step explanation:

The value of the top angle in the triangle is equal to 90° - 27° = 63° as they are complementary anglesTo find x, take the tan ratio of the angletan63° = 1.96tan63° = x/21⇒ x/21 = 1.96⇒ x = 21 * 1.96⇒ x = 41.16

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?

Answers

Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

What is the quadratic function for the projectile's height?

It is given by:

[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]

In which:

v(0) is the initial velocity.h(0) is the initial height.

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

[tex]s(t) = -16t^2 + 64[/tex]

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

More can be learned about quadratic functions at https://brainly.com/question/24737967

Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The amplitude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).

Answers

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

What is function?

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

https://brainly.com/question/5245372

Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Jennifer wants to know how many of her company’s 1,800 employees ride the bus to work. She asks every fourth employee out of 800 entering the building from the parking garage

Answers

Pay
Compression.
She resigns her job when she finds out that
most of the new employees of the company,
who have only two or three years of
experience, get the same salary as her. In the
given scenario, Jennifer most likely resigned
due to Pay Compression.

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

Option C

-3(x² + 2x) + 4x(x + 3) – 3x

Step-by-step explanation:

a.)-3(x² – 2x) + 4x(x + 3) – 12x

-3(x² – 2x) + 4x(x + 3) – 12x

-3x² + 6x + 4x² + 12x – 12x

4x² – 3x² + 6x + 12x – 12x

x² + 6x

Here, The answer is x² + 6x but our required answer is + 3x. So, option a is not the answer.

b.)3(x² + 2x) – 4x(x – 3) + 3x

3(x² + 2x) – 4x(x – 3) + 3x

3x² + 6x – 4x² + 12x + 3x

3x² – 4x² + 12x + 3x + 6x

-x² + 21x

Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.

c.)-3(x² + 2x) + 4x(x + 3) – 3x

-3(x² + 2x) + 4x(x + 3) – 3x

-3x² – 6x + 4x² + 12x – 3x

4x² – 3x² – 6x + 12x – 3x

+ 3x

Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.

Thus, The correct answer is option c.

12 points
Will mark brainliest to who ever answers first

Answers

Answer:

80 pounds

Step-by-step explanation:

Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour

Answers

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

What do I have to major in to become an astronomer and approximately how long would I have to stay in college?

Answers

something like physics, you want to not have such a specific major because you can always change your mind later on. It might take around 10ish years, but that is a rough estimate.

Please help me with this math question attached below.

Answers

Answer: 12 outcomes

Step-by-step explanation:

When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute

Answers

The answer to this question is 8.3L as you divide 100 by 12

Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Which system represents the statements below?

The sum of two numbers is 10. One number is five times the other.

Answers

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

1035 divided by 23 hun

Answers

Answer:

45

Step-by-step explanation:

- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25

Answers

Answer:

A quotient is the number we get when we divide one number by another.

for example

8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.

I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.

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