Create a list of steps, in order, that will solve the following equation.
(a + 5)2 -
:-1=3
Solution steps:
FIN
As
Add 1 to both sides
Multiply both sides by 4
MY
Multiply both sides by
1
4
Col
Subtract 1 from both sides
MY
Subtract 5 from both sides
Pro
Square both sides
Pro
Take the square root of both sides
Tea
Report a problem

Answer:

x = 18

Step-by-step explanation:

The sum of interior angles in a triangle = 180 degrees

The given is a right triangle which means one of the angle is = 90

so the sum of 3x + 2x = 90

5x = 90 divide both sides by 5

x = 18 to find the measure of angles replace x with 18

hope it helps you ♡♡

Answer: $20000

Step-by-step explanation:

The amount of cash drawings for the year will be calculated thus:

Net loss = $18,800

Beginning owner's equity = $378,800

Ending owner's equity = $330,000

Goods withdrazwn by owner = $10,000

The Ending owner's equity is calculated as:

= Beginning owner's equity - Net loss - Goods withdrazwn by owner - Cash withdrawn by owner

We'll then slot in the values given and this will be:

330,000 = 378,800 - 18,800 - 10,000 - Cash withdrawn by owner

330,000 = 350,000 - Cash withdrawn by owner

Cash withdrawn by owner will the be:

= $350000 - $330000

= $20,000

Answer:

commutative property

Step-by-step explanation:

Answer:

Commutative property

Step-by-step explanation:

Example:

2 + 3 = 3 + 2

 5 = 5

Answer:

C

Step-by-step explanation:

We know that function h represents an object's height in feet after x seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.

Answer:180 u

Step-by-step explanation:

Answer:

reflecting over y just simply means counting the space between the shape and their points to the line and using that same number on the other side for example for the point -4,-4 is 2 spaces from the line then count 2 on the other side

Answer:

a^2+b^2=c^2 A and b need to add upp to c^2

Step-by-step explanation:

3^2+4^2=5^2

9+16=25

25=25

8^2+15^2=17^2

64+225=289

289=289

Answer:

(x2+1)(x+1)(x−1)

Step-by-step explanation:

Thats the answer

Hey buddy I am here to help!

Red = 8

blue = 6

greem = 4

total = 18

probability of blue marble = 6/18 = 1/3

Answer:

I think it is 1/3

Step-by-step explanation:

you have 18 ways to pick one marble in the bag and have 6 ways to pick a blue marble so the probability that the marble will be blue is 6/18=1/3

Answer:

-2.35

Step-by-step explanation:

I'm not 100% Sure if that's correct but I'm pretty sure it is!

Answer:

Improper Fraction = 47/20 Decimal = 2.35 Mixed Number = 2 7/20

Step-by-step explanation:

Convert mixed number to improper fraction

:. 2 = 20 + 20 = 40

= 40 + 7

= 47/20

Answer:

36

Step-by-step explanation:

Least Common Multiple of 9 and 12

Factor each into prime factor

9 = 3  * 3

12 = 2 * 2 * 3

LCM is the greatest number of different prime factors from each

LCM = 3 * 3 * 2 * 2

LCM = 36

Answer:

36 hotdogs

Step-by-step explanation:

36 ÷ 9 = 4

36 ÷ 12 = 3

Hope this helps!

-kiniwih426

Answer:

y = - 10

Step-by-step explanation:

2x - 5y + 3 = 6x - 3y + 7

2(4) - 5y + 3 = 6(4) - 3y + 7

8 - 5y + 3 = 24 - 3y + 7

11 - 5y = 31 - 3y

11 - 11 - 5y = 31 - 11 - 3y

- 5y = 20 - 3y

- 5y + 3y = 20 - 3y + 3y

- 2y = 20

- 2y ÷ - 2 = 20 ÷ - 2

y = - 10

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

9514 1404 393

Answer:

  6

Step-by-step explanation:

The sum of the roots (y-intercepts) of the polynomial is the opposite of the ratio of the linear term coefficient and the leading coefficient.

  b + c = -(-6/2) = 3

The x-intercept is the constant: a = 3

Then the sum a+b+c is ...

  a + (b +c) = 3 + 3 = 6

_____

Additional comment

The factored form of the polynomial for the given intercepts will be ...

  x = 2(y -b)(y -c)

and the expanded form of that is ...

  x = 2y^2 -2(b+c)y +2bc

The y-coefficient is ...

  -2(b+c) = -6

  b +c = 3 . . . . . . . divide by -2. This is the result used above.

We show the graph so you can add up the values of the intercepts to see that the sum is 6.

Answer:

-2/3

Step-by-step explanation:

- 3/7 (14/9)

Rewriting

- 3/9 (14/7)

-1/3 * 2/1

Multiply

-2/3

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Uniform would most likely be characteristics of the histogram obtain.

A histogram is a rough representation of the distribution of numerical data. The term was first coined by Karl Pearson.

The histogram is the width of the area covered by the x-axis bars. These are approximate values ​​because the histograms show the bin values ​​instead of the original data values.

If a histogram is bell-shaped, it can be modestly described by its center and width. The center is the location of its axis of symmetry. The spread is the distance between the center and one of its inflection points.

To learn more about histogram, refer;

https://brainly.com/question/16819077

#SPJ2

Answer:

-17/20

Step-by-step explanation:

7/12 + x = -4/15

Subtract 7/12 from both sides

x = -4/15 - 7/12

Use 60 as common denominator

x = -16/60 - 35/60

x = -51/60

Reduce

x = -17/20

Answer:

x = 60

Step-by-step explanation:

The sum of the angles in a triangle is 180

40 + x+20 + x = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x+60-60 =180-60

2x =120

Divide by 2

2x/2 =120/2

x = 60

Step-by-step explanation:

option 2 is the answer....

Answer:

Step-by-step explanation:

[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]

Now we cal calculate the quantities requested

[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]

[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]

[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]

Answer:

12x+18

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

as long as the interest is not being compounded, use the simple interest formula of:

Interest = Principal x Interest Rate x Time (in years)

I = 1000(.06)(2)

I = 120

Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!