A carpenter wants to cut an 84 inches long board into two -pieces such that one piece is twice as long as the other piece. Set an equation and find the length of each piece.

Answer:

{x|x<15}

Step-by-step explanation:

all real numbers less than 15

pls brainliest im hardstuck ambitious

The given expression when written in standard form gives; 10.1 * 10⁴

A number written in standard form is usually as A * 10ⁿ

where;

A is a number bigger than or equal to 1 and less than 10

Now, we are given;

(6.3 * 10⁴) + 38000

⇒ (6.3 * 10⁴) + (3.8 * 10⁴)

Using distributive property of equality, we have it in standard form as;

(6.3 + 3.8) * 10⁴

⇒ 10.1 * 10⁴

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Explanatoin:

There are a number of ways to do this type of problem. One way is to divide the figure as shown in the diagram below. See the attached image.

I'm splitting the irregular shape into two rectangles and a triangle.

The upper rectangle is 10 miles by 9 miles to get an area of 10*9 = 90 square miles. Let A = 90 so we can use it later.

The lower rectangle is 4 miles by 19 miles. Its area is 4*19 = 76 square miles. Let B = 76.

The total vertical height of the figure is 9+4+10 = 23 miles.

Notice along the column that has "8 miles" up top over "9 miles" down below, we have a gap of some distance which I'll call x. This x adds to 8 and 9 to get the 23 mentioned.

x+8+9 = 23

x+17 = 23

x = 23-17

x = 6

This helps find the height of the triangle which is 9+x = 9+6 = 15 miles.

The triangle has a base of 9 miles.

The area of the triangle is base*height/2 = 9*15/2 = 135/2 = 67.5 square miles. Let C = 67.5

--------------

We found that:

The total area is: A+B+C = 90+76+67.5 = 233.5 square miles.

Answer:

x^2-y^2

Step-by-step explanation:

Foil (x+y)(x-y)=

x^2-xy+xy-y^2=

x^2-y^2=

Answer:

x3−4x2−11x−6

Stp-by-step explanation:

(1+x)(x2+−5x+−6)

=(1)(x2)+(1)(−5x)+(1)(−6)+(x)(x2)+(x)(−5x)+(x)(−6)

=x2−5x−6+x3−5x2−6x

=x3−4x2−11x−6

Step-by-step explanation:

[tex] \frac{d}{dx} {e}^{x} \cos(x) = {e}^{x} cos(x) - {e}^{x} \sin(x) [/tex]

Answer:

12. √197

13. √89

14. 2√10

15.  (-3, 2)

16. (3/2, 0)

17. (2, -8)

18. 21

Step-by-step explanation:

12. Point 1: (-8, -2); Point 2: (6, -1)

d = √(x2 - x1)² + (y2 - y1)²

d = √(6 - (-8)² + (-1 - (-2)²

d = √(14)² + (1)²

d = √196 + 1

d = √197

13. Point 1: (-4, 5); Point 2: (4, 0)

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - (-4))² + (0 - 5)²

d = √(8)² + (-5)²

d= √64 + 25

d = √89

14. G: (-2, -3); H: (0, 3)

d = √(x2 - x1)² + (y2 - y1)²

d = √(0 - (-2))² + (3 - (-3))²

d = √(-2)² + (6)²

d = √4 + 36

d = √40

d = √4 x 10

d = 2√10

15. Point 1: (-1, -5); Point 2: (-5, 9)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (-1 + (-5)/2, (-5 + 9)/2

Mid = (-6)/2, (4)/2

Mid = (-3, 2)

16. Point 1: (7, -2); Point 2: (-4, 2)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (7 + (-4)/2, (-2 + 2)/2

Mid = (3)/2, (0)/2

Mid = (3/2, 0)

17. M:(-3, -1); Y:(-8, 6), X: (X, y)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

X      = ((-8 + x2))            ,((6 + y2))

                ÷      = -3              ÷           = -1

                2                          2

To get rid of the 2 multiply the 2 by -3 for X and -1 for Y

X = ((-8 + x2))                      ,((6 + y2))

             ÷       = -3(2)                 ÷         = -1(2)

           2(2)                              2(2)

X = (-8 + x2) = -6, (6 + y2) = -2

           +8          +8,   -6             -6

X2 = 2, Y2 = -8

X: (2, -8)

18. QR = 8x - 51; RS = 3x - 6

8x - 51 = 3x - 6

-3x         -3x

5x - 51 = -6

     + 51   +51

5x = 45

÷5    ÷5

x = 9

QR = 8(9) - 51

QR = 72 - 51

QR = 21

RS = 3x - 6

RS = 3(9) - 6

RS = 21

(QR + RS)/2

(21 + 21)/2

42/2 = 21

QS = 21

I really hope this helps!

Answer:

Step-by-step explanation:

Cross out B and D, because angle D does not correspond with Y and Angle F does not correspond with X (order matters).

It comes down to either A or C, so look at the sides.

DF does not correspond to XY, again, the order it is displayed matters.

D is the first letter and F is the last, while X is the 2nd letter of the triangle, while it should be the first letter to correspond with D

Thus by Process of Elimination the answer is C.

(Also DF DOES correspond with WY)

Answer:

Step-by-step explanation:

The sum of the polynomials (-x2 + 9) + (-3x2 - 11x + 4) is -4x2 - 11x - 5.

Answer: Option (a) x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.

The solution to the inequality is x > 1/6

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

-2(8x - 4) < 2x + 5

On simplifying , we get

-16x + 8 < 2x + 5

Subtracting 2x on both sides , we get

-18x + 8 < 5

Subtracting 8 on both sides , we get

-18x < -3

Multiply by -1 on both sides , we get

18x > 3

Divide by 18 on both sides , we get

x > 1/6

Hence , the solution is x > 1/6

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Answer:

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Step-by-step explanation:

[tex]f(x)=-x^3-8x^2-9x+11[/tex]

When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.

Therefore, substitute -x in place of x in the function f(x):

[tex]g(x)=-(-x)^3-8(-x)^2-9(-x)+11[/tex]

We know that [tex](-x)^3=-(x^3)[/tex]

[tex]\implies -(-x)^3=--(x^3)=x^3[/tex]

We know that [tex](-x)^2=x^2[/tex]

[tex]\implies -8(-x)^2=-8(x)^2=-8x^2[/tex]

Also [tex]-9(-x)=+ \ 9x[/tex]

Therefore,

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Answer:

Slope is 2, and the y-intercept is (0, 4).

Step-by-step explanation:

-2x+y=4

y=4-(-2x)

y=4+2x

y=2x+4

y=mx+b where m=slope and b=y-intercept,

m=2 and b=(0, 4).

Answer:

8

Step-by-step explanation:

use second equation because it contains values as {4,5,6}

in other to get X to be 3 we have to divide 6 by 2 and replace in the equation

f (6÷2)= -(6÷2)+11

=-3 +11

=8

Answer:

2√5

Step-by-step explanation:

(1/2) √80

Figure out the biggest number that can be squared by 80 in this case it's 16

(1/2) √(16 x 5)

since the square root of 16 is 4 put the 4 on the outside and leave 5 in since it can't be squared.

(1/2) 4√5

multiply (1/2) by 4 which equals 2

2√5

I hope this helps!

-4(v+1)

hope this works i looked it up and this is what i got

Answer:

-4( v+1)

Step-by-step explanation:

(-12v + 3) + (8v - 7)

-12v + 3 + 8v - 7

-4v - 4

-4 (v+1)

Answer:

5n(2n^2-7n+5)

Step-by-step explanation:

Answer:

y = -10

Step-by-step explanation:

To find the y-intercept, substitute x=0.

y= (0+2)(0-5)

Then, solve the equation for y.

y = -10

Step-by-step explanation:

15 long

12 wide

10 high

we need all for walls

hight times length two times ( these are the front and back walls )

hight times width two times ( These are the side walls )

the roof is

width times length (only once as only the ceiling)

same measurement as the floor

can you work it out with that

please mark brainiest

Answer:

PRQ/3

Step-by-step explanation:

it is done by adding the first two

Answer:

cos(x)

Step-by-step explanation:

[tex]Remember: sin(x) = \frac{1}{csc(x)}[/tex]

[tex]\frac{cos(x)}{sin(x) *csc(x)}[/tex]    OG Question

[tex]\frac{cos(x)}{\frac{1}{csc(x)} *\frac{csc(x)}{1} }[/tex]  Convert [tex]sin(x) = \frac{1}{csc(x)}[/tex]

[tex]\frac{cos(x)}{1 }[/tex]  Cross multiply and cancel out. Equals to one.

[tex]cos(x)[/tex] Anything divided by 1 is itself. You have your answer.

Hope this makes sense. Lmk if you need more help.

Answer:

14.58 m3

Step-by-step explanation:

here, breadth (b) = 4cm

length (l) = 6cm

volume (v) = 350cm3

height (h) = ??

we know, volume of cuboid=

length × breath× height

or, v = L× B × H

or, 350 = 6 × 4 × H

or, 350 = 24 × H

or, 350/25 = H

or 14.58 = H

therefore, H = 14.58cm3

Answer:

-9 is rational

5/8 is rational

30/sqrt of 25 is rational

sqrt 70 is irrational

pi is irrational

Step-by-step explanation:

rational number: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.  A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions. Rational numbers are terminating decimals, but irrational numbers are non-terminating. Irrational Numbers Definition An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

Hope this helps mark brainliest please :)

Answer:

12

Step-by-step explanation:

Put numbers in order from least to greatest.

8,8,9,9,10,11,13,14,14,14,15,16.

Find the number in the middle.

Because 12 is an even number we have to take the two middle numbers, in this case 11 and 13, add them and then divide that number by 2.

11+13= 24

24 ÷ 2 =12

So the median weight is 12.

Answer:

Step-by-step explanation:

The first thing you do is put the numbers least to greatest and the middle is your answer hope you get a good grade

Answer:

180 pound

Step-by-step explanation:

the value of 12%

much steel will the new car model use is 180 pound

Answer:

  9.2 m

Step-by-step explanation:

The right triangle model is shown in the attachment. The lengths 6 m and 7 m are the legs of the triangle, and the requested distance is the hypotenuse. The given Pythagorean theorem equation can be used to find the desired distance:

  c² = a² +b²

  c² = 7² +6² = 49 +36 = 85

  c = √85 ≈ 9.2

Gabe and Adele are about 9.2 meters apart.

Answer:

x = 128

Step-by-step explanation:

49 + x + 3 = 180

52 + x =180

x + 52 = 180

x + 52 - 52 = 180 - 52

x = 128

Answer:

128

Step-by-step explanation:

49+(x+3)=180

49+x+3=180

52+x=180

x=180-52

x=128

Answer:

0.9x + 0.8(x + 2)

Step-by-step explanation:

# of cans of fruit cocktail: x

# of cans of mushrooms: 2 more than x, or x + 2

$ of can of mushroom: $0.80

$ of can of fruit cocktail: $0.90

To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:

The price of the cans of fruit cocktail = 0.90 * x

                                                             = 0.9x

The price of the cans of mushrooms = 0.80 * (x + 2)

                                                             = 0.8(x + 2)

Total price = 0.9x + 0.8(x + 2)

Answer:

Step-by-step explanation:

2x + 3x = 90

5x = 90

Divide both sides by 5

x = 90/5

x = 18

Angles are: 3x = 3*18 = 54°

                   2x = 2*18  = 36°