A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.

Answer:

down below!

Step-by-step explanation:

a) width: 2,3,4,5  length:9,8,7,6

all you need if for those numbers to add up to 11 together because the perimeter itself is 22 so you always want to be able to add those two numbers and be able to double it to the perimeter if that makes sense.

b) the greatest area there will be would be width: 5 and length: 6 because 5x6 equals 30 and multiplying the others would be less than that. hence 2x9=18, 3x8=24, and 4x7=28  

please let me know if this helps if not I can try to explain another way!

Answer:

[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]

Answer:

54

Step-by-step explanation:

The perimeter is the sum of the outside

P = 8+4+5+10+( 4+10) +(8+5)

P = 54

Answer:

13

Step-by-step explanation:

(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13

Answer:

Step-by-step explanation:

(a + b)(a -b) =a² - b²

a = 4 and  b = √3

(4 + √3)(4 - √3)= 4² - (√3)²

                        = 16 - √3*√3

                        = 16 - 3

                        =  13

Answer:

Step-by-step explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8)   & (x₂ , y₂) = (0 , 5)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]

m = 1/2  ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]

Answer:

8.2 units

Step-by-step explanation:

For radioactive decay, the amount should decrease over time. Given the function:

f(x) = 10(0.98[tex])^{x}[/tex]

We substitute the time of x = 10 hours:

f(10) =  10(0.98[tex])^{10}[/tex]

f(10) = 8.17

Round 8.17 to 8.2.

Therefore 8.2 units will remain after 10 hours.

Answer:

8nx- 7p-6x is your answer .

Answer:

The answer is B. y=-3x+4

Step-by-step explanation:

Have a great day :)

Answer:

x= -1

Step-by-step explanation:

Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.

Given that the line passes through (-1, 2), the equation of the line is x= -1.

Parallel lines have the same slope and will never meet.

The missing equations are;

a + 2b + 3c = 12

3a + 2b + 5c = 22

2a + 4b + 4c = 18

Answer:

a = 2

b = 0.5

c = 3

Step-by-step explanation:

We are told that;

a represent the price per pound of apples

b represent the price per pound of bananas

c represent the price per pound of oranges

The equations system is;

a + 2b + 3c = 12 - - - (eq 1)

3a + 2b + 5c = 22 - - - (eq 2)

2a + 4b + 4c = 18 - - - (eq 3)

Divide through equation 3 by 2 to get

a + 2b + 2c = 9 - - - (eq 4)

Subtract eq 4 from eq 1 to get;

3c - 2c = 12 - 9

c = 3

Put 3 for c in eq(2) and eq 4;

3a + 2b + 5c = 22

3a + 2b + 5(3) = 22

3a + 2b + 15 = 22

3a + 2b = 7 - - - (5)

a + 2b + 2(3) = 9

a + 2b + 6 = 9

a + 2b = 3 - - - (eq 6)

Subtract eq 6 from eq 5 to get;

2a = 7 - 3

2a = 4

a = 2

Put 2 for a in eq 6;

2 + 2b = 3

2b = 3 - 2

2b = 1

b = 1/2

b = 0.5

Answer:

It's A

Step-by-step explanation:

edge 2021

Answer:

2.75, or 2 3/4

Step-by-step explanation:

Cross multiply first to get:

4y = 11

Divide by 4 on both sides

y = 2.75

Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.

Hope this helps!

If there is something wrong, just let me know.

Answer:

2.75

Step-by-step explanation:

1/y = 4/11 cross multiply the expressions

4y = 11 divide both sides by 4

y = 2.75

Answer:

] 14/3 ; ♾ [

Step-by-step explanation:

3x-5>9

3x>9+5

3x>14

x>14/3

wich make it ] 14/3 ; ♾ [

when three times a certain number is subtracted from 5 the result is more than 9 find the number.

Let us assume :

The number be x

Data :

A number is 3 times = 3x

Subtracted from 5

The result = 9

Henceforth, the equation we got is :

Transposing 9 to the other side

Hence, the value of x is 14/3 respectively

Answer:

hope this help you

of my handwriting is bad then sorry.

Answer:

have a great day

may god bless you a lot

Answer:

2ax(y-2ay^2+3a^2x)

Step-by-step explanation:

2axy-4a^2xy^2+6a^3x^2

Given data

we have the following expression

2axy-4a^2xy^2+6a^3x^2

let us factor this expression

we have

2ax(y-2ay^2+3a^2x)

The common factor is 2ax

And the factorized expression is 2ax(y-2ay^2+3a^2x)

Answer:

I think It would be A

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(if its not im sorry :( )

Answer:

B

Step-by-step explanation:

Lie should factor out 3 from the expression

Answer:

4

Step-by-step explanation:

y = 1/5x -1

Let x = 25

y = 1/5(25) -1

  = 5-1

  = 4

y =4

Answer:

I think that it is 4

Step-by-step explanation:

Answer:

ap.ply the r.ule of expo.nents !

( 3^7 × 3^-2 ) / 3^3

=> ( 3 ) ^ 7-2-3

=> ( 3 ) ^ 2

=> 9

hope that helps ✌

Answer:

(x + 4) - 3

Step-by-step explanation:

Let the number be x

(x +4) - 3

Answer:  D. Reflect across the x-axis, and then reflect again over the x-axis.

Explanation:

If we reflect over the x axis, and then reflect over that same axis again, then we arrive at the original image. Nothing has changed. This is because the two reflections effectively cancel each other out.

It's like taking one step forward, then taking one step back. You haven't moved at all.

Point-slope form

y -24 = -4/5(x -0)

Find x when y is 0 (X-intercept)

0 -24 = -4/5(x -0)

-24 = -4/5x

x = -120/-4

x = 30

Answer: A. 30 minutes

Answer:

No Major League ballparks are exactly alike, but certain aspects of the field of play must be uniform across baseball.

The infield must be a square that is 90 feet on each side, and the outfield is the area between the two foul lines formed by extending two sides of said square (though the dirt portion of the field that runs well past the 90-foot basepaths in all Major League parks is also commonly referred to as the infield). The field must be constructed so that the bases are the same level as home plate.

The rulebook states that parks constructed by professional teams after June 1, 1958, must have a minimum distance of 325 feet between home plate and the nearest fence, stand or other obstruction on the right- and left-field foul lines, and 400 feet between home plate and the nearest fence, stand or other obstruction in center field. However, some clubs have been permitted to construct parks after that date with dimensions shorter than those specified.

The pitcher's plate must be a 24-inch by 6-inch slab of whitened rubber that is 10 inches above the level of home plate and 60 feet, 6 inches away from the back point of home plate. It is placed 18 inches behind the center of the mound -- which is erected within an 18-foot diameter circle -- and surrounded by a level area that is 5 feet by 34 inches. The slope of the pitcher's mound begins 6 inches in front of the pitcher's plate and must gradually decrease by 1 inch every foot for 6 feet in the direction of home plate.

Home plate is a 17-inch square of whitened rubber with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches each and the remaining two sides are 12 inches each and set at an angle to make a point. The 17-inch side faces the pitcher's plate, and the two 12-inch edges coincide with the first- and third-base lines. The back tip of home plate must be 127 feet, 3 and 3/8 inches away from second base.

The other bases must be 15-inch squares that are between 3 and 5 inches thick, covered by white canvas or rubber and filled with soft material.

Step-by-step explanation:

Answer:

60 (E)

Step-by-step explanation:

He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds

He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes

Answer:

1st option

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros ( where the graph crosses the x- axis ) are

x = - 2, x = 1, x = 3 , then the corresponding factors are

(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)

f(x) is then the product of the factors , that is

f(x) = (x + 2)(x - 1)(x - 3)

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

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

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

Answer:

A

Step-by-step explanation:

The domain of a graph is the set of number you can input for x that will give you a y value. From the looks of it, this graph has all x-values larger than zero.

We know it is not b since we see x-values of the graph go past x=10.

We know it is not c because there are no negative x-values.

We know it is not D because there are no negative x-values. Real number include negative numbers.

Doing this, we get that the smallest number of coins is: 6

89 cents:

Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.

A similar question can be found at https://brainly.com/question/21776594

Answer:

Step-by-step explanation:

Common difference is -9.

t_1 = 2

t_n = t_1 - (n-1)9

= t_1 - (9n - 9)

= 2 - (9n - 9)

= 11 - 9n