4/5 + 3/5 add following numbers and simplify

Answer:

C = 10

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100

[tex]\sqrt{100}[/tex] = 10

Answer:

Divide each term by  

− 3  and simplify.

x  = - 4

Answer:

x = -4

Step-by-step explanation:

First you need to find the common factor, which in this problem is 3. Then you need to divide the equation by the common factor which makes it -x = 4. We then need to multiply the equation by -1 to make x positive which makes it x = -4.

Answer:

220 - a = m

Step-by-step explanation:

her age is the variable "a"

Answer:

x = 9.23919

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 57°

Opposite = x

Adjacent = 6

Step 3: Solve for x

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships.

  Tan = Opposite/Adjacent

  tan(57°) = x/6

  x = 6·tan(57°) ≈ 9.24

__

The complete solution of the triangle will also find a value for H.

  Cos = Adjacent/Hypotenuse

  cos(57°) = 6/H

  H = 6/cos(57°) ≈ 11.02

_____

Comment on the figure

We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.

Answer: The slope is undefined.

Step-by-step explanation:

Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.

(3,6)

(3,-3)  

y coordinates:  6 - (-3) =  9

x coordinates:   3- 3 = 0  

9/0 =  undefined.

Any number being divided by 0  is undefined because you can't divide something by anything.  

Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3

Answer:

Positive Integer factors of 315 = 3, 9, 5, 45, 7, 315 divided by 3, 3, 5, 7, gives no remainder. Step-by-step explanation:

Answer:

x-intercept = (18/5,0)

y-intercept = (0,-2)

Step-by-step explanation:

I graphed it and found the intercepts

brainliest would be great

Answer:

The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)

Step-by-step explanation:

The given coordinates of the points A and B are A(1, 6) and B(8, 8)

The location of the point C = The x-axis

Therefore;

The coordinates of the point C = (x, 0)

The length of the segment AC = √((1 - x)² + (6 - 0)²) = √((1 - x)² + 6²)

The length of the segment BC = √((8 - x)² + (8 - 0)²) = √((8 - x)² + 8²)

At minimum distance of AC + BC, we have;

d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = (1 - x) × 2 × (0.5 - 1)× (√((1 - x)² + 6²)^(0.5 - 1) + (8 - x) × 2 × (0.5 - 1)× √((8 - x)² + 8²)^(0.5 - 1)

∴ d(√((1 - x)² + 6²) +√((8 - x)² + 8²))/dx = 0 = -(1 - x)/√((1 - x)² + 6²) - (8 - x)/√((8 - x)² + 8²)

-(1 - x)/√((1 - x)² + 6²) = (8 - x)/√((8 - x)² + 8²)

(8 - x)·√((1 - x)² + 6²) = -(1 - x)·√((8 - x)² + 8²)

Squaring both sides gives;

(8 - x)²·((1 - x)² + 6²) = (1 - x)²·((8 - x)² + 8²)

Expanding, using an online tool, we get;

x⁴ - 18·x³ + 133·x² -720·x + 2368 = x⁴ - 18·x³ + 161·x² - 272·x + 128

Which gives;

(161 - 133)·x² - (272 - 720)·x + 128 - 2368 = 28·x² + 448·x - 2240 = 0

Dividing by 28 gives;

x² + 16·x - 80 = 0

(x + 20)·(x - 4) = 0

Therefore, x = -20 or x = 4

The coordinates of the point C that minimizes AC + BC are (-20, 0) or (4, 0)

The coordinates of a point is the position of the point, on the coordinate plane.

The point C that minimizes AC + BC are (-20, 0) and (4, 0)

The given parameters are:

[tex]\mathbf{A = (1,6)}[/tex]

[tex]\mathbf{B = (8,8)}[/tex]

From the question, we understand that point C is on the x-axis.

This means that:

[tex]\mathbf{C = (x,0)}[/tex]

Calculate segments AC and BC using the following distance formula

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AC = \sqrt{(1 - x)^2 + (6 - 0)^2}}[/tex]

[tex]\mathbf{AC = \sqrt{(1 - x)^2 + 6^2}}[/tex]

[tex]\mathbf{BC = \sqrt{(8 - x)^2 + (8 -0)^2}}[/tex]

[tex]\mathbf{BC = \sqrt{(8 - x)^2 + 8 ^2}}[/tex]

Add both distance

[tex]\mathbf{AB + BC = \sqrt{(1 - x)^2 + 6^2} + \sqrt{(8 - x)^2 + 8^2}}[/tex]

Differentiate, to calculate the minimum distance

[tex]\mathbf{d' = (1 - x) \times 2 \times (0.5 - 1) \times ((1 - x)^2 + 6^2)^({0.5 - 1}) + (8 - x) \times 2 \times (0.5 - 1) \times ((8 - x)^2} + 8^2))}^{(0.5 - 1)} }[/tex]

Simplify

[tex]\mathbf{d' = -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}}- \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}}}[/tex]

Set to 0

[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} - \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ -\frac{1 - x}{\sqrt{(1 - x)^2 + 6^2}} = \frac{8 - x}{\sqrt{(8 - x)^2 + 8^2}} }[/tex]

Cross multiply

[tex]\mathbf{(8 - x) \times\sqrt{(1 - x)\² + 6\²} = -(1 - x) \times\sqrt{(8 - x)\² + 8\²}}[/tex]

Square both sides

[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (-(1 - x))^2 \times (8 - x)\² + 8\²}[/tex]

[tex]\mathbf{(8 - x)^2 \times (1 - x)\² + 6\² = (1 - x)^2 \times (8 - x)\² + 8\²}[/tex]

Expand

[tex]\mathbf{x^4 - 18x^3 + 133x^2 -720x + 2368 = x^4 - 18x^3 + 161x^2 - 272x + 128}[/tex]

Evaluate like terms

[tex]\mathbf{133x^2 -720x + 2368 = 161x^2 - 272x + 128}[/tex]

Collect like terms

[tex]\mahbf{161x^2 - 133x^2 - 272x + 720x + 128 - 2368 = 0}[/tex]

[tex]\mathbf{28x^2 + 448x - 2240 = 0}[/tex]

Factor out 28

[tex]\mathbf{28(x^2 + 16x - 80) = 0}[/tex]

Divide through by 28

[tex]\mathbf{x^2 + 16x - 80 = 0}[/tex]

Expand

[tex]\mathbf{x^2 + 20x - 4x - 80 = 0}[/tex]

Factorize

[tex]\mathbf{x(x + 20) + 4(x + 20) = 0}[/tex]

Factor out x + 20

[tex]\mathbf{(x + 20)(x - 4) = 0}[/tex]

Solve for x

[tex]\mathbf{x =- 20\ or\ x = 4}[/tex]

Hence, the point C that minimizes AC + BC are (-20, 0) and (4, 0)

Read more about coordinate points a:

https://brainly.com/question/18154638

Answer:

c = 12ft

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]7.2^{2}[/tex] + [tex]9.6^{2}[/tex] = 144

[tex]\sqrt{144}[/tex] = 12

Answer:

18 inches!

Step-by-step explanation:

Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)

hope this helped!

Answer:

Step-by-step explanation:

Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

Answer:

4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

Step-by-step explanation:

Answer:

Step-by-step explanation:

set the two equations equal to each other then solve for n

6n + 3 = 4n + 11

2n = 8

n = 4

plug n in for both equations

6(4) + 3

24 + 3 = 27

4(4) + 11

16 + 11 = 27

27 + 27 = 54

the distance is 54

Answer:

A. negative

B. positive

C. positive

D. negative

hope this helps!

Step-by-step explanation:

Answer:

a. negative

b. positive

c. positive

d. negative

Step-by-step explanation:

a. (-4)(17)(-2)(-1)

-68(-2)(-1)

136 (-1)

-136

b. (-2)(-6)(1)

12(1)

12

c. (-5)(4)(-13)(2)

-20(-13)(2)

260(2)

520

d. [tex](-1)^{3}[/tex] or (-1)(-1)(-1)

1(-1)

-1

Answer:

19

Step-by-step explanation:

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

1,100/2,000=0.55*100= 55%

Answer: D

Step-by-step explanation: trust me

All integers higher than or equal to 10 and less than or equal to 20 are included in the domain.

The set of all potential inputs for a function is its domain. The domain of a function is the collection of all possible values that can be used as inputs, or alternatively, it is the full range of possible values for independent variables.

The set of all values that can be plugged into a function while ensuring that it exists and accepts a real number as a value is known as the domain of the function.

The range of values that we exists allotted to enter into our function is comprehended as the domain of a function. The x values for a function like f make up this set (x).

Therefore, the correct answer is option D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.

To learn more about Domain refer to:

https://brainly.com/question/26098895

#SPJ2

Answer:

-7°

Step-by-step explanation:

every hour the temperature dropped 3° so in 6 hours it would be -7° because 3x6 is 18 and 11-18 is -7

Answer:

1\6y^8 (second one)

Step-by-step explanation:

Answer:

Just multiply or divide the numbers they give you try both

Step-by-step explanation:

Answer:

7200 word in 1 hour

Step-by-step explanation:

360/3 to get how many words she can read in a minute which is 120.

Then times it by 60 (60 mins in an hour) to get the total amout of words she reads in an hour. 120 x 60 = 7200 words.

Answer:

9,875,123

Step-by-step explanation:

Answer:

Circumference if the diameter is 20 the radius is 10 so if all the pieces are equal to 20 you have to find the radius(10) so the answer is 125 pieces

Step-by-step explanation:

Answer:

d the very bottom 6- , 4-

Step-by-step explanation:

bc x im sure is always first then it goes  up y is last

Answer:

A tuple cannot be changed once it is created.

Step-by-step explanation:

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

Answer:

2(+2)(+3)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ \sf 2x (x+3)(x+2)}[/tex]

Step-by-step explanation:

[tex]\sf =2x^3+10x^2+12x\\\\Take \ 2x \ common\\\\=2x(x^2+5x+6)\\\\By \ mid-term \ break \ formula\\\\=2x(x^2+3x+2x+6)\\\\=2x[x(x+3)+2(x+3)]\\\\Take \ (x+3) \ common\\\\= 2x (x+3)(x+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!