( 1,-2), gradient = -3​

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

Answer:

Step-by-step explanation:

Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.

Answer:

6.

2

1

3

10.9 to 1 place

7

a.) 36

b.)3

c.)65

d.)13

Step-by-step explanation:

Answer:

I would say 26 or 42 but i would o with 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

[tex]arccos\left(\frac{18}{20}\right)[/tex] = 25.8

Answer:

For 25) it's option C. -1/2

For 26) it's option D. 7π/6, 11π/6

Step-by-step explanation:

If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.

Answer:

-1/2

7π/6, 11π/6

Step-by-step explanation:

First problem:

31π/6 = 31/6 π = 5 1/6 π

A full circle is 2π radians. π radians = 180°

Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.

You end up at π radians, or 180°, or the negative x axis.

Now go π/6 radians more counterclockwise.

You end up at 7π/6 or 210°.

Read the y-coordinate of the point on the unit circle.

Answer: -1/2

Second problem:

Look in the figure of the first problem.

The sine corresponds to the y-coordinate.

Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.

They correspond to 7π/6 and 11π/6

Answer:

24 6

Step-by-step explanation:

""6_6_6&6&6&6__5ddyfouoyfkykyky

Answer:

F. 300,000

Step-by-step explanation:

logically, it is decreasing by 1.

Answer:

$40

Step-by-step explanation:

You have two sweatshirts that cost $30 more the day after.

First, you do [tex]340 -(2*30)[/tex]

Second, you divide what you got above ($280), by 7 and voila, you have $40 per sweatshirt.

Answer:

8.4

Step-by-step explanation:

Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:

1, 2, 3, 4

However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:

9, 11

From there, we use the smallest integers (that are still above 11) possible:

12, 13, 14, 15

The average of these 10 integers is 84/10, or 8.4.

The median is still 10, because (9+11)/2 is 10.

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

Answer:

b the answer is B because

Answer:

read explanation

Step-by-step explanation:

since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3

following PAMDAS we do multiplication first so 2/5*10=4.

so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.

Answer:

The dog biscuits are approximately 69% off.

Step-by-step explanation:

(1 - 0.69/2.23) * 100

(223/223 - 69/223) * 100

154/223 * 100 = 69%

Answer:

  210 - 3x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The zero of the function is where the y-value is zero.

then it's -5

Answer:

28 centimeters a year, 5.5 years until 344 centimeters

Step-by-step explanation:

I did the calculations, forgive me if I am wrong.

Answer:

A. 9π/2km

Step-by-step explanation:

the length of the arc is

s= angle in radians* radius

the angle in radians

135 = 3π/4

therefore length of arc

s= (3π/4)*6 = 9π/2km

Answer:

WRS and VRT are vertical angles

Step-by-step explanation:

Vertical angles are formed by the same lines and share a vertex

WRS and VRT are vertical angles

-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000

= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)

= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)

= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)

= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)

Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to

= -(2S - 500) + 2S

= -2S + 500 + 2S

= 500

and multiplying by 4 gives 2000.

Answer:

[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]

[tex]calculate\: within \: the \:parentheses[/tex]

[tex]-1+2=1[/tex]

[tex]=1-3+4-5+6-7+1000[/tex]

[tex]1-3=-2[/tex]

[tex]=-2+4-5+6-7+1000[/tex]

[tex]-2+4=2[/tex]

[tex]=-3+6-7+1000[/tex]

[tex]3-7+1000[/tex]

[tex]=-4+1000[/tex]

[tex]=996[/tex]

[tex]Multiply:-[/tex]

[tex]4\times996[/tex]

[tex]=3984[/tex]

--------------------------

Hope it helps..

Have a great day!!

Answer:

502.4 m³.

Step-by-step explanation:

Formula: πr²h

4² = 16 x 10 = 160

160 x 3.14 (about π) ≈ 502.4 m³.

Hope this helps.

If there is something wrong, please let me know.

Answer:

160[tex]\pi[/tex] or

500[tex]m^{3}[/tex]

Step-by-step explanation:

[tex]\pi[/tex] x [tex]4^{2}[/tex] x 10 = 160[tex]\pi[/tex] or 500[tex]m^{3}[/tex]

Answer:

Height = 12in

Surface area = 320in²

Step-by-step explanation:

Given

Length of the square base = 8in

Volume of the prism = 768 cubic inches

Using the formula;

Volume of the prism = Base area * Height of prism

768 = 8² * H

768 = 64H

H = 768/64

H = 12in

Hence the height of the prism is 12in

Get the surface area

Surface area = 2l² + 2lh

Surface area = 2(8)² + 2 (8)(12)

Surface area = 128  + 192

Surface area = 320in²

Hence the Surface area of the prism is 320in²

9514 1404 393

Answer:

  ₹1442

Step-by-step explanation:

The new price will be 1+3% = 1.03 times the old price.

  ₹1400 × 1.03 = ₹1442

Answer:

LN=4

Step-by-step explanation:

Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]