Solve the system of linear equations by elimination.

9x+y=2
−4x−y=−17

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when two lines intersect we get a pair of opposite angles.

According to the vertical angle theorem, if two angles are vertical then the measure of each angle will be the same i.e. the angles will be congruent.

Identifying angle types:

From the figure, it is clear that

The angle (9y+7)° and (2y+98)° are opposite angles.

Hence,

Determining the equation

As the vertical angles are congruent, so

(9y+7)° = (2y+98)°

Steps solving the equation

We know the equation of vertical angles (9y+7)° and (2y+98)° such as

(9y+7)° = (2y+98)°

solving for y

9y - 2y = 98 - 7

7y = 91

divide both sides by 7

7y/7 = 91/7

y = 13

Therefore, the value of y = 13

Answer:

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answer:

2361

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope is (y2-y1)/(x2-x1)

Answer:

2

Step-by-step explanation:

(y2)8- (y1)6= 2

(x2) 1- (x1) 0 = 1

2/1 =2

Final answer would be 222222

Answer:

A. y=sec(x-4)

Step-by-step explanation:

Answer:

Matrix calculator

Step-by-step explanation:

There are matrix calculators online with analytics steps

Answer:

$38.50

Step-by-step explanation:

$700 times 0.055= 38.50

Answer:

72

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

To find the value of x you will have to isolate the x.

6x-3=5x-5 ------> Add 3 to both sides to get rid of the 3

6x=5x-2 ------> Subtract 5x to both sides to get rid of the 5x

1x=-2

1x is the same as x so

x=-2

Answer:

19

Step-by-step explanation:

the side is same as 57

what times 3 is 57?

57/3 is 19

AB is 19

pls vote me as brainliest!!!<3

Answer:

it will be 5.5 hours have a nice day

Answer:

X = 1

Step-by-step explanation:

combine 6x and 2x to make 8x

10 + 8x = 18

subtract 10 from both sides

8x = 8

divide both sides by 8

X = 1

Answer:

$54

Step-by-step explanation:

1 quart = 32 fl oz

3 quarts would contain 32 x 3 = 96 quarts

1 ounce would cost : $4.50 / 8 = $0.5625

96 quarts would cost = 96 x  $0.5625 = $54

Answer:

x will equal 72

I used a calculator

Answer:

HL, SAS, ans SSS

Step-by-step explanation:

ASA and AAS cannot be used because we can only confirm one angle of each triangle.

Congruent shapes have equal corresponding sides and angles.

The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS

[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.

From the attached figure, we have the following congruent sides and angle:

The above highlights mean that the following theorems can be used to prove that the triangles are congruent:

HL, SAS, and SSS

Read more about congruent triangles at:

https://brainly.com/question/11329400

Answer:

a. 7:15

b. 8:7

Step-by-step explanation:

there are 7 used books and 8 new books, thus, there are 15 books on a shelf.

(a) The ratio of used books to all books on the shelf is [tex]\dfrac{7}{15}[/tex].

(b)The ratio of new books to used books is  [tex]\dfrac{8}{7}[/tex].

Given that:

Total number of books = 15

Total number of  new books = 8

Total number of used books= 15-8

                                              = 7

(a) The ratio of used books to all books on the shelf is calculated as:

  Ratio = [tex]\dfrac{ Used \ books}{ Total \ books}[/tex]

           = [tex]\dfrac{7}{15}[/tex]

(b)  The ratio of new books to used books is calculated as:

    Ratio = [tex]\dfrac{ New \ books}{ Used \ books}[/tex]

             = [tex]\dfrac{8}{7}[/tex]

Thus, the ratio of used books to all books on the shelf is  [tex]\dfrac{7}{15}[/tex]  and the ratio of new books to used books is [tex]\dfrac{8}{7}[/tex].

Learn more about ratio here:

https://brainly.com/question/32531170

#SPJ4

Answer:

C

Step-by-step explanation:

A is incorrect because as x goes from 0 to 1, y jumped from 0 to 4

B is incorrect because as x goes up by 2, y at first goes up by 2 but then jumped to 4.

C is correct because as x goes up by 1, y goes up by 3

D is incorrect because y jumped from 0 to 10 and first but lowered to 5 after.

Answer:

Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Step-by-step explanation:

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

After the rearrangement, the equation as b the subject b = 2a + c.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that the equation;

a = 1/2 ( b - c)

Rearranging the equation;

a =  1/2 ( b - c)

Multiplying 1/2 to the the terms of brackets,

a = (b/2) - (c/2)

b/2 = a + (c/2)

Divide by 2 on both sides of the equation;

b = 2a + c

Therefore, the equation as b the subject b = 2a + c.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Answer:

1 7/10

Step-by-step explanation:

3 4/5 you have to times the fraction be to so it would be 3 8/10 so now you would take your 2 1/10 and subtract   so it would be 1 7/10

Answer: 35/11 or 3 2/11

Step-by-step explanation:

[tex]4\frac{3}{8} /1\frac{3}{8}\\[/tex]

[tex]\frac{35}{8}/\frac{11}{8}\\[/tex]

[tex]\frac{35}{8} * \frac{8}{11}\\[/tex]

[tex]\frac{35}{11} =3\frac{2}{11}[/tex]

Answer:

[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} \\ = \frac{35}{11}= \boxed{3 \frac{2}{11}} [/tex]

Answer:

Domain:

{−4,10,−8}

Range:

{4,2,−6,−9}

Step-by-step explanation:

(The "Domain" is the set of all the values of x.) (The "Range" is the set of all the values of y.)

If you look at the X- values and then look at the Y-Values. That how you find Domain & Range in Math.

Answer:

B

Step-by-step explanation:

Answer:

5.74 so that would be the third option

Step-by-step explanation:

always remember to square root if not answer will be counted as incomplete or incorrect!

Answer:

1) response b

2) x=35 (response c)

3) response d

Step-by-step explanation:

1) The Pythagorean  theorem's "C" value is the value of your hypothenuse, which means that it would be c^2-b^2=a^2

You would set it up as "7^2-4^2", and then to get rid of the squared value, you would have to square root it

2) In this question, you're finding the hypothenuse, therefore the two values given are your "a" and "b" values.

                                                 [tex]\sqrt{21^{2} +28^{2} } =x[/tex]

                                                 [tex]\sqrt{441+784}=x[/tex]

                                                     [tex]\sqrt{1225} =x[/tex]

                                                        x=35

3) This is pretty much self explanatory if you know the C value is the hypotenuse

                                                      [tex]\sqrt{4^{2}+5^{2} }[/tex]

                                                      [tex]\sqrt{16+25}[/tex]

                                                          [tex]\sqrt{41}[/tex]

Answer:

C) a graduated cylinder

Step-by-step explanation:

2023 edge

Answer:

The answer is A

Step-by-step explanation:

Answer:

2/5 of a Mile

Step-by-step explanation:

Total mikes from school to Steven house = 3/5 of a Mile

If Steven walked 2/3 of the way there, the distance he walked =2/3×3/5 = 2/5

If he stopped the rest, then the distance he travelled before stopping is 2/5 of a Mile

Answer:

About 9.4

Step-by-step explanation:

The distance between A and B is about 9.4 units.