What is the solution to the system of equations below?
2x + 3y = 6
x - 3y = 9

Answers

Answer 1

Step-by-step explanation:

2x + 3y =  6             3x = 15                    5 - 3y = 9

x   - 3y  = 9               x = 15/3 = 5            y = 9 - 5/-3 = -4/3

3x        = 15


Related Questions

The picture is up there (thank you!)

Answers

Answer:

$7.52

Step-by-step explanation:

It adds 0.34 dollars every month...

Hope this helps (:

The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?

Answers

Answer:

The answer is -2.968

Step-by-step explanation:

I took the test and got it right unlike the other person who got it wrong for me.

Please answer the attachment below and say which number goes in the first or second, etc.

Answers

Answer:

use calculator

Step-by-step explanation:

1/500=0.002

3 2/25=308%

2.6=2 6/10

0.25%=0.0025

Answer:

They are actually in the correct order left to right !

Step-by-step explanation:

1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.

1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.

In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!

As stated above when displaying percentages in decimal form:

100% = 1,

25% = 0.25,

1% = 0.01,

0.25% = 0.0025!

Positive numbers have negative square roots.
O A. True
B. False

Answers

Answer:

false

Step-by-step explanation:

Answer: A. True  because multiplying a negative number by a negative number gives you positive.

Step-by-step explanation:

Factor the perfect square trinomial x2 - 12x + 36.

Answers

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

What is the length of the arc that measures 60° for the given circle?
A)

2
cm
B)

3
cm
C)
10π
3
cm
D)
10π
9
cm
It also says the radius is 10

Answers

Could you show the given circle please?

Answer: The answer is C.

Step-by-step explanation: I just did it

What is the gradient of the blue line?

Answers

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

What is the gradient of a line?

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

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

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

Learn more about the gradient of a line here;

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answer please need help and is struggling

Answers

Answer:

q < 5

Step-by-step explanation:

Since there is an open circle it means there is no equal sign

The line goes to the left so it is less then q < 5

Answer:

q<5

Step-by-step explanation:

The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.

Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2

Answers

Answer:

Point D

Step-by-step explanation:

Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.

At Work-It-Out, a gym membership is $50 per month with no registration fee. At Get Fit, the registration fee is $100 and membership costs $30 per month. Which equation could be used to find the number of months, m, for which the total cost of both gyms is the same? 100+30m=50m 50m=30+100m 100+50m=30m 50m=100−30m

Answers

Answer:

Step-by-step explanation:

50x=30x+100

The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.

What is a linear equation ?

A linear equation is an algebraic equation in which a variable has a highest degree of 1.

According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.

Given no. of months is m.

∴ 50m = 30m + 100

50m - 30m = 100.

20m = 100

m = 5.

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Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute​

Answers

Answer:

75

Step-by-step explanation:

Answer:

75wpm

Step-by-step explanation:

150 ÷ 2 = 75

75 wpm

The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.

Answers

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

The equation d = 3sin (16t) measures the displacement of a swinging object in simple harmonic motion.
t is measured in
seconds and d is measured in inches.
What is the displacement to the nearest inch, when t = 10? NOTE: The angle is in
radians.
Provide your answer:
d=
inches​

Answers

Answer:thats hard

Step-by-step explanation:

another one! what is 7x-8x=23? will mark brainliest!

Answers

Answer:

7x-8x=23

-1x=23

x=-23

Step-by-step explanation:

7x - 8x = 23

-x = 23

x = -23

......

5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.

Answers

Answer:

Since the first number after the decimal is lower than 5, you would need to round down.  So the answer would be 17(not 18).

Step-by-step explanation:

Which equation represents the graphed function?
HELP ASAP

Answers

It is the first option

Answer:

The answer is A.

Step-by-step explanation:

Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)

Answers

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.

Answers

Answer:

Step-by-step explanation:

Find  the maximum value of

C = 3x -2y  Objective function

subject to the following constraints.

Constraints

x ≥ 0

y ≥ 0                

2x + y ≤ 10  vertex 1 : when x=0 then y=10  (0,10)

3x + 2y ≤ 18 vertex 2 : y=0, then x=6          ( 6,0)

two equations together to determine vertex 3 :

3x+2y = 18

2x+y = 10

x=2, y= 6

The feasible region determined by the constraints is

shown. The three vertices are (0, 10),  and (6, 0), (0,9)

and (2,6)

First evaluate C = 3x -2 y at each of the vertices.

At (0, 10): C = 3(0) - 2(10) = -17

At (6, 0): C = 3(6) - 2(0) = 18

At ( 2,6) : C = 3(2) -2(6) = -6

At (0,9) : C = 3(0)-2(9)= -18

the maximum value occur on 18 when x=9 and y=0

Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:

[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]

Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].

       Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].

        [tex]2(0)+y=10\\ y=10[/tex]

      So, the intersecting point is [tex](0,10)[/tex].

Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].

        [tex]2x+0=10\\ 2x=10\\ x=5[/tex]

      So, the intersecting point is [tex](5,0)[/tex].

Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].

       Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].

        [tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]

      So, the intersecting point is [tex](0,9)[/tex].

Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].

       Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].

        [tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]

      So, the intersecting point is [tex](6,0)[/tex].

Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].

        Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].

        [tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]

       Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:

        [tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]

      So, the intersecting point is [tex](2,6)[/tex].

The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].

Corner points:

          The corner points are the boundary points of the bounded region of   the given constraints.

The bounded region of the given constraints is shown below.

From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].

Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:

At [tex](0,0)[/tex]:

[tex]C=3(0)-2(0)\\C=0[/tex]

At [tex](5,0)[/tex]:

[tex]C=3(5)-2(0)\\C=15[/tex]

At[tex](0,9)[/tex]:

[tex]C=3(0)-2(9)\\C=-18[/tex]

At[tex](2,6)[/tex]:

[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]

From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].

Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].

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[tex]18-\sqrt{} -25[/tex]

Answers

Answer:

-(i×5) + 18

Step-by-step explanation:

Simplify the following:

-sqrt(-25) + 18

sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):

18 - i sqrt(25)

sqrt(25) = sqrt(5^2) = 5:

Answer: -(i×5) + 18

Is (1, 4) a solution to the equation y = 7x?

Answers

Answer:

not a solution

Step-by-step explanation:

Substitute the point into the equation and see if it is true

y = 7x

4 = 7*1

4 = 7

This is not true so it is not a solution

The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.

Answers

Answer: smaller number is 4, bigger number is 20

Step-by-step explanation:

24 - 4 = 20

4 * 4 = 16

20 - 16 = 4

Answer:

4 and 20.

Step-by-step explanation:

The sum of two numbers is 58. Their difference is 12. Find the numbers.

Answers

The correct answer is 23 and 35.

Find the distance between two points (6,−4) and (−4,−4).

Answers

Answer:

Step-by-step explanation:

(6, -4) ; (-4,-4)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}^{2})}\\\\ =\sqrt{(-4-6)^{2}+(-4-[-4])^{2}} \\\\=\sqrt{(-10)^{2}+(-4+4)^{2}} \\\\=\sqrt{100+0}\\\\ =\sqrt{100}\\\\[/tex]

= 10 units

Picture 1: What is the value of x in this circle?

Picture 2: What is the degree measure of arc HG?

Answers

Answer:

Picture 1 x = 43°

Step-by-step explanation:

Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.

180 - 47-90= 43° = x

Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​

Answers

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

Answer:

4^2= 16

Step-by-step explanation:

This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.

Thomas has two kittens. He records the
mass of one kitten as 2.2 kilograms and
the mass of the other kitten as 1,890 grams.
What is the total mass of the two kittens
in kilograms? (1 kilogram 1,000 grams)

Answers

Answer:

4.09

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

change 1890 to kilograms

1890/1000= 1.89

add both weight = 1.89+2.2

4.09

Help please somebody

Answers

Answer:

10n + 4

Step-by-step explanation:

$10 * n games + $4 since $10 per game + the flat rate

Answer:

4n+10

Step-by-step explanation:

In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

Answers

Answer:

[tex]x=15^\circ[/tex]

Step-by-step explanation:

In a right triangle:

[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]

Therefore, given:

[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]

In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?

plz help me

Answers

Answer:

(1-20%)x or (1-0.2)x or x-0.2x

Step-by-step explanation:

In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.

Answers

The values of f and g are;

f = 6

f = 6g = 8

We are given the trapezium ABCE where;

AD is parallel to BC

DE = 4 cm

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

f and g are sides of the rectangle ABCD. Thus;

fg = 48 - - - (eq 1)

Also,for the trapezium ABCE;

½(g + g + 4)f = 60

(2g + 4)f = 120 - - - (eq 2)

From eq 1, f = 48/g

Thus;

(2g + 4) × (48/g) = 120

96 + 192/g = 120

192/g = 120 - 96

192/g = 24

g = 192/24

g = 8

Thus;

8f = 48

f = 48/8

f = 6

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