Line R is represented by the equation y=-2x+7 and Line Z is represented by the equation y=3x-3. At what point will line R and line Z intersect?

Step-by-step explanation:

your answer

Answer:

[4  -2  -19]

[-1   1     8]

Step-by-step explanation:

[ 2 5]    *   [a b c]    =   [3 1 2]

[ 1  3]         ld e f]          [1 1 5]

[2a+5d 2b+5e 2c+ 5f]   =   [3 1 2]

[a+3d    b + 3e   c + 3f]       [1 1 5]

Solving systems of equations:

2a + 5d = 3

a + 3d    = 1

2a + 6d = 2

Subtract -d = 1 so d = -1

and a = 1 - 3d = 1 - 3(-1) = 4

So d = -1 and a = -4.

In the same way we find that b = -2, e = 1, c = -19, f = 8.

Answer:

the symbol is ↔

Answer:

(a)

sin²A×cos²A+sin⁴A

we will take sin²A as an common factor

so it become

sin²A×(cos²A+sin²A)

sin²A+cos²A=1

sin²A×1=sin²A

(c)

sinA×cotA

cotA= cosA/sinA

sinA×cosA/sinA=cosA

(e)

(1+sinA)²-(1-sinA)²

(a+b)²=a²+b²+2×a×b

(a-b)²=a²+b²-2×a×b

1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)

1+sin²A+2sinA-1-sin²A+2sinA=4sinA

(g)

(cosec²A-1)/cosec²A

cosecA=1/sinA

1/sin²A-1/1/sin²A

(1/sin²A-1)×sin²A

1-sin²A

1=sin²A+cos²A

sin²A+cos²A-sin²A=cos²A

(i)

sqrt(1+tan²A)×sqrt(1-cos²A)

1+tan²A=

1+sin²A/cos²A=

sin²A+cos²A/cos²A

sin²A+cos²A=1

=1/cos²A

1-cos²A

1=sin²A+cos²A

sin²A+cos²A-cos²=sin²A

sqrt(1/cos²A)×sqrt(sin²A)

1/cosA×sinA=sinA/cosA=tanA

have a great day

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

or,3*1+1*1x/2=2x

or,4x/2=2x

or,4x-2x=2

or,x=2/2

so,x=1

Answer: it's supposed to be 60, check

Step-by-step explanation:

Answer:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

PART ONE: Find d when t = 0

Given expression

d = 2t

Substitute value into the expression

d = 2 (0)

PART TWO: Find d when t = 3

Given expression

d = 2t

Substitute value into the expression

d = 2 (3)

PART THREE: Find d when t = 5

Given expression

d = 2t

Substitute value into the expression

d = 2 (5)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 9±sqrt(7)

Step-by-step explanation:

3(x-9)^2 =21

Divide each side by 3

3/3(x-9)^2 =21/3

(x-9)^2 =7

Take the square root of each side

sqrt((x-9)^2) =±sqrt(7)

x-9 =±sqrt(7)

Add 9 to each side

x = 9±sqrt(7)

Answer:

wut are the statements?

Step-by-step explanation:

Answer:

can you please type that question

Answer:

There are no solutions

Step-by-step explanation:

6+5−4x=1−4x

6+5+−4x=1+−4x

(−4x)+(6+5)=−4x+1

−4x+11=−4x+1

−4x+11=−4x+1

−4x+11+4x=−4x+1+4x

11=1

11−11=1−11

0 = −10

Answer:

10 = 0

Step-by-step explanation:

6 + 5 - 4x = 1 - 4x

11  - 4x = 1 - 4x

11 -1 = -4x +4x

10 = 0

Answer:

the area of square is

the area of square is side*side

therefore ,area= 11*11= 121 feet square

Answer:

L = length of arc , R = radius

radian angle = L / R

L = R* radian angle

L = R * 1/3

L = R/3 #1

Area of sector = 1/2 L*R

By substitution using #1

Area of sector = 1/2 * R/3 * R

9 = R^2 /6

R^2= 6*9

R^2= 36

R =✓36

R = 6

Answer:

Here is your answer. Hope this helps you!

Answer:

Rate(R)= 11%

Times(T)=11/2

Principle(P)= 9000

We know that,

SI = P×T×R÷100

= 9000×11/2×11÷100

=9000×5.5×11÷100

= 544500÷100

=5445

Hence, the required simple interest is 5445.

Ans

Answer:

3³  = 27

Step-by-step explanation:

I'm guessing you need answer E

Answer:

c = (2 - ad) / b

Step-by-step explanation:

Subtract both sides by ad

bc = 2 - ad

Divide both sides by b

c = (2 - ad) / b

Hi ;-)

[tex]x=2\\\\4x+8=4\cdot2+8=8+8=\boxed{16}[/tex]

Step-by-step explanation:

4x + 8

4 × 2 + 8

8 + 8

16

Therefore its 16.

Answer:

[tex]thank \: you[/tex]

Answer:

Take 2x- 3y= 6 as equation 1

And

x+ 3y= 3 as equation 2

Now add both equation

2x - 3y = 6

x + 3y = 3

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x 0 = 9

We can also write 3x 0= 9 as 3x = 9

Now we have to solve 3x =9

3x = 9

x = 9/3

x= 3

I hope this will help you

9514 1404 393

Answer:

  x = -1.4

Step-by-step explanation:

  3(x-6) -8x = -2 + 5(2x + 1)

  3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses

  -21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms

  x = -21/15 = -7/5

  x = -1.4

__

Check

  3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x

  3(-7.4) +11.2 = -2 +5(-2.8 +1)

  -22.2 +11.2 = -2 +5(-1.8)

  -11 = -2 -9 . . . . . true

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Answer:

y = 78

Step-by-step explanation:

66 + 4 = 70 + 4 = 74 + 4 = 78

-12 + 3 = -9 + 3 = -6 + 3 = -3

x = -3

y = 78

Answer: Choice A

Explanation:

If you use a calculator or long division, you should find that

5/6 = 0.8333333...

where the '3's go on forever. We shorten this down to [tex]0.8\overline{3}[/tex], the horizontal bar tells us which item goes on forever (just the 3 only).

The answer is A. I don't know how to explain.

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

If you want to learn more, you can read:

https://brainly.com/question/24350406

9514 1404 393

Answer:

  292 yd²

Step-by-step explanation:

We can find the area of the remaining L shape by subtracting the area of the 21×22 rectangle at lower left from the 26×29 overall rectangle.

  shape area = (26 yd)(29 yd) -(21 yd)(22 yd) = 754 yd² -462 yd²

  shape area = 292 yd²

__

Additional comment

The area of a rectangle is the product of its length and width.

There are many ways the area of this shape can be calculated. The area can be divided into two rectangles, two trapezoids, three rectangles, and other ways.

If you cut up the given shape into smaller pieces, you will generally need to know the widths of the arms of the L. One of those is shown as 7 yd. The other is 26-21 = 5 yd.

Using the method we did, we only needed the dimensions shown on the figure.

Answer:

3 to the fourth power and 81 to the first power.

Step-by-step explanation:

i took he quiz

The equivalent expressions are 3^4 and -9^2

To determine the equivalent expressions, we simply solve the options.

So, we have:

3^9 = 19683

3^4 = 81

-9^2 = 81

9^9 = 387420489

From the above computation, we have:

3^4 = 81 and -9^2 = 81

Hence, the equivalent expressions are 3^4 and -9^2

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

2,3,5,7,11,13,17,19,23 and 29

Step-by-step explanation:

hope this helps

Answer:

b)68

Step-by-step explanation:

i think helping you...say correct or no...

Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.

Monthly net pay = 489.00 x 2 = $968.00

Multiply monthly by 15%

968 x 0.15 = $146.70

Answer: $146.70

If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.

First step

Monthly net pay=$489.00×2

Monthly net pay=$968

Second step

Average monthly net pay:

Average monthly net pay=$968×15%

Average monthly net pay=$146.70

Therefore your average monthly net pay is:$146.70.

Learn more about average monthly net pay here:https://brainly.com/question/25273589