Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point (5. -4)? Select
three options.
0y = 2 X-2
2x + 5y = -10
2x - 5y = -10
my+4=} (x - 5)
By -4 = (x + 5)

Answer: 92 and 94

Step-by-step explanation:

x = first number

x + 2 = second number

x + x + 2 = 186

simplify

2x + 2 = 186

subtract 2 from both sides

2x = 184

divide both sides by 2

x = 92

92 + 2 = 94

The numbers are 92 and 94.

Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even integers here.

Any 2 consecutive even integers can be represented as x + x + 2.

So we can represent our integers as follows.

X ⇒ first integer

X + 2 ⇒ second integer

Since their sum is 168, our equation reads x + x + 2 = 186.

Simplifying on the left side gives us 2x + 2 = 186.

Now subtract 2 from both sides to get 2x = 184.

Now divide both sides by 2 and we find that x = 92.

If x = 92, then x + 2 will be 92 + 2 or 94.

So our two consecutive integers are 92 and 94.

Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Answer:

( 5 x 9 ) - 14

Which equals 31

Answer:

31

Step-by-step explanation:

5 x 9- 14 is 31

Answer:

Check the explanation

Step-by-step explanation:

[tex]H_0[/tex]:proportion of male smoker lung deaths is same for the four given tar level categories.

[tex]H_1[/tex]:proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

Answer:

The y-intercept is [tex]7[/tex]

Step-by-step explanation:

Think of y=mx+b

m is the slope

b is the y-intercept

since 7 is in the b, the y-intercept is 7.

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

Add 43 to each side

-13+43 > x-43+43

30 > x

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

Answer:

719 = x

Step-by-step explanation:

877+100=_x_+258

Combine like terms

977 = x+258

Subtract 258

977 -258 = x+258-258

719 = x

Answer: [tex]9m=10[/tex] or [tex]m=\frac{10}{9}[/tex]

I don't know your options... but you can check my work below and see if any of the other options fit yours.

Step-by-step explanation:

[tex](x^2 + 3)2 + 7x^2 + 21 =10[/tex]

If [tex]x^2+3=m[/tex], we can rewrite this as;

[tex](m)2+7x^2+21=10\\2m+7x^2+21=10[/tex]

By grouping, we can factor another m.

[tex]2m+(7x^2+21)=10[/tex]

Factor a 7.

[tex]2m+7(x^2+3)=10[/tex]

Rewrite it in terms of m.

[tex]2m+7m=10[/tex]

Combine like terms;

[tex]9m=10[/tex]

Divide by 9

[tex]m=\frac{10}{9}[/tex]

Answer:

it is one square

Step-by-step explanation:

in the middle is room for one but anywhere else isn't

Answer:

Step-by-step explanation:

4.5

Answer:

4.5

Step-by-step explanation:

i did the test

Answer:

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

  568,924,126

  = 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

     ... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the polygon is not given.

However, I'll give a general explanation of how to calculate the area of a regular polygon.

If you follow these simple steps, you'll arrive at your answer.

The area of a polygon is calculated as thus;

A = ½(nbh)

Where A represent the area

n represents the number of sides

b represents the length of the base

h represent the height of the polygon

Take for instance, the polygon is a regular pentagon.

This means n = 5.

Also assume that the base and the height are 5cm and 7cm respectively.

This means that

Area = ½ * (5 * 5 * 7)

Area = ½ * 175

Area = 87.5cm²

Hence, the area of the polygon is 87.5cm²

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Answer:250

Step-by-step explanation:

25% of 1000

25/100 x1000

(25 x 1000)/100

25000/100=250

Answer:

-26

Step-by-step explanation:

One way to answer this question is to look at what's happening to the values of x and y.

x         y

24     -8

36       1

48      10

Go down the list of x values: they are increasing by 12 at each step

Go down the list of y values: they are increasing by 9 at each step.

The y-intercept of the line is the value of y when x = 0.

Think about reversing the steps (decrease x by 12 and decrease y by 10):

x         y

48     10

36       1

24      -8

12      -17

0      -26 <-----  the y intercept is -26.

Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)

Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

Answer:

It isn't 100

(0.5 is 1/2)

2/0.5=4

50x4=200

Hope this helps

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

because there is only one number 3 there is a 1/6 chance of you getting a 3

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

Answer:

Check the explanation

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

As we solve we generate a succession of equivalent equations.

10t - 4t + 3t = 8

9t = 8

t = 8/9

Answer:

10t-4t+3t=8

t (10-4+3)=8

t (9)=8

9t=8

t=8/9

Step-by-step explanation:

In the question stated above, the common factor amongst the numbers with the variables is t, therefore we factorise the t out of the numbers, hence leaving t outside the bracket. After we solve the equation of the simple numbers of which the product is 9. After this we already know the 9 is to be multiplied by the t to make it 9t=8. We divide both side by the 9 and get a result of t=8/9

Answer:

1472

Step-by-step explanation:

The sum of n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 19 - 14 = 5 , thus

[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]

     = 11.5 (18 + 110) = 11.5 × 128 = 1472

Answer:

A

Step-by-step explanation:

Suppose p = 6 and b = 8, so that tan x is 6/8

Then the hypotenuse is sq rt (6x6 + 8x8) = sq rt (36 + 64) = sq rt (100) = 10

So sin x = p / h = 6 / 10

And cos x = b / h = 8 / 10

So A is the answer

Answer:

A. sin x = 6/10 and cos x = 8/10.

Step-by-step explanation:

If tan x is 6/8 the  opposite side to x = 6 and the adjacent side = 8.

So the hypotenuse of the triangle = √(6^2 + 8^2)

= √100

= 10.

So sin x = 6/10 and cos x = 8/10.

Answer:

7 9/10

Step-by-step explanation:

Answer:

  -12

Step-by-step explanation:

The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.

The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.

Putting these numbers into your expression gives ...

  -6(-3) -5(6) = 18 -30 = -12

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

Answer:

11,040 is the answer

Step-by-step explanation:

you just need to subtract

There are 36,960 people were supporting the home team.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At the college football game there were 48,000 people.

If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.

x/ 48000 = 77/ 100

here plugging in all our numbers gives us .

x =  (77/ 100)48000

x = 36,960

Therefore, There are 36,960 people were supporting the home team.

Learn more about percentages;

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