What are the additive and multiplicative identities for any rational number​

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

Answer:

Colinear Points: F, B, D

Linear Points: A, B, C

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation

Answer:

2 refliction , 3 rotaion 4 , translation

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

Answer:

Domain: [-5, 5)

Range: (1, 3]

Brackets and parenthesis are important! Make sure to put them in the correct spot

Step-by-step explanation:

Domain is which x values the line hits. It hits from -5 to 5 but doesn't include 5 as indicated by the open circle.

Range is which y values the line hits. It hits from 1 to 3 but doesn't include 1 because, again, there is an open circle.

When a number is not included, you put it with a parenthesis.

When it is included, you put it with a bracket.

Answer:

Common difference is 4

Step-by-step explanation:

We want to define the name of a plane. We will find that some of the possible names are:

IJF, JFE, FEI.

To define any given plane, we can just use two collinear points that are on the plane and a third point, which is on the plane and is not-collinear to the other two points.

Remember that points are collinear if we can connect them with a line.

So for the shown plane, some names can be:

IJF

where IJ are two collinear points and F is the third point that is non-collinear to the other two and also is on the plane.

Other names can be:

JFE

FEI

etc.

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Answer:

You worked for 4.5( for and a half hour)

Step-by-step explanation:

33.75$(total amount of money you got)

7.50 ($ money per hour)

33.75/7.50= 4.5H

Answer:

10 and 11

Step-by-step explanation:

the side length = [tex]\sqrt{105}[/tex]

Consider perfect squares either side of 105 , that is

100 < 105 < 121 , then

[tex]\sqrt{100}[/tex] < [tex]\sqrt{105[/tex] < [tex]\sqrt{121}[/tex] , so

10 < [tex]\sqrt{105}[/tex] < 11

side length is between 10 and 11

80 is the area.

for the rectangle: 4 * 8 = 32

for the traingle: 6 * 8 = 42. normally you would vivide by 2 but there are 2 triangles so no need,

32 + 48 = 80

Answer:

+12

Step-by-step explanation:

Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

Answer:

Tin

Step-by-step explanation:

Density

=mass÷volume

=277÷38

=7.3 g/cm3

Hope this helps!

Answer:

Step-by-step explanation:

1) x² - 8x + 5 = 0

2) No subtract 5 from both sides

x² - 8x + 5 - 5 = 0 - 5

x² - 8x  = -5

3) Now find (8/2) = 4. Add 4² = 16 to both sides

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

4) (x - 4)²  = 11

5) Take square root both sides

x - 4 = ±√11

x = 4 ±√11

Let other one be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto\dfrac{17x-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto 17x-8=17(-8)=-136[/tex]

[tex]\\ \sf\longmapsto 17x=-136+8[/tex]

[tex]\\ \sf\longmapsto 17x=-128[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-128}{17}[/tex]

Answer:

Step-by-step explanation:

The other number is x:

Answer:

x = 12 degrees

y = 50 degrees

Step-by-step explanation:

3x + 144 = 180

3x = 180 -144

3x = 36

x = 12 degrees

Let the angle to the left of 2y-5 be z:

z + 95 = 180

z = 85 degree

z + 2y - 5 = 180

85 + 2y - 5 = 180

2y = 180 - 85 + 5

2y = 100

y = 50 degree

The top face (BCD) and the front face (EHD) both contain the line segment AD.

Answer: 2,900,000

Step-by-step explanation:

10 times 10 to the 4th power + 2.8 times 10 to the 6th power =

100 to the 4th power + 28 to the 6th power =

100,000 + 2,800,000 = 2,900,000

Answer: 2,900,000

Step-by-step explanation:

its simple

Answer:

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Rate of change is the slope.

The slope is the change in Y over the change in X:

Slope = (5- -3) / (2 - -2)

Slope = 8/4

Slope = 2

Answer: A.2

Bisection is a process that produces two equal parts of angles or lines. Thus applying the bisection principle, the measure of angle lmn = [tex]168^{o}[/tex]

This question deals with sub-bisection of angles. Bisection is the method required to divide a given angle or line into two equal parts.

From the given question:  m<rmp = [tex]21^{o}[/tex]     (given)

But,

m<qmp = m<rmp + m<qmr = 2 x m<rmp      (addition property of bisected angles)

            = 2 x [tex]21^{o}[/tex]

m<qmp = [tex]42^{o}[/tex]

Also,

m<lmp = m<lmq + m<qmp = 2 x m<qmp      (addition property of bisected angles)

            = 2 x [tex]42^{o}[/tex]

m<lmp  = [tex]84^{o}[/tex]

Then,

m<lmn = m<lmp + m<pmn  = 2 x m<lmp (addition property of bisected angles)

           = 2 x [tex]84^{o}[/tex]

m<lmn = [tex]168^{o}[/tex]

Thus, the measure of angle lmn is [tex]168^{o}[/tex].

A simple sketch is attached to the answer for more clarifications.

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Answer:

8.11

Step-by-step explanation:

The 7 makes the 0 a 1

Answer:

solution,

given,

10 + 8 × 90 ÷ 9 - 4

=10 + 8 ×10 - 4

=10 + 80 - 4

=90 - 4

=86

Step-by-step explanation:

it is simplify . In simplification, we solve it by following rules bracket,divide, multiply, add and subtract. please remind it

i think it was helpful for all of you.

Answer:

2x^2 + 2y^2 + 2z^2

Step-by-step explanation:

x^2+xy-yx+y^2 + y^2+yz-zy+z^2 + z^2+zx-xz+x^2

First step is to put all the same ones together

( FYI, xy and yx is the same thing, just like how

2 x 3 and 3 x 2 is the same thing) this time I'll bracket the groups to make it easier on the eyes

(x^2 +x^2) + (xy - xy) +( y^2 + y^2) + (yz - yz) +

(z^2 +z^2) + (zx - zx)

2x^2 + 2y^2 + 2z^2

All the others just cancel themselves out, for example, xy-xy

When anything minus themselves it will become 0

Answer:

Sum of 1 and nines times a number

Answer:

(-6, 4)

Step-by-step explanation:

Answer:

for question 4, 1/3 is the probability since there are 6 sides and there are two numbers on a die less than 3, 2 and 1.

2 and 1 are 2 of the 6 numbers on the die.

so 2/6

but we have to simplify!

divide 2 by 2 and 6 by 2

1/3 done!

Step-by-step explanation:

Explanation:

The set of outcomes we want to happen is {1,2}. These items are less than 3. We have A = 2 outcomes here.

There are B = 6 total outcomes in the set {1,2,3,4,5,6} which are values on a standard cube.

The probability we want is A/B = 2/6 = 1/3