What is the value of a?

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

Answer:

A

Step-by-step explanation:

Answer:

[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}\approx 2.70\\\displaystyle x_2=\frac{7- \sqrt{85}}{6}\approx -0.37[/tex]

Step-by-step explanation:

Quadratic Formula

Given the second-degree equation:

[tex]ax^2+bx+c=0[/tex]

The solutions of the equation can be obtained by applying the formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The equation to solve is:

[tex]3x^2-7x-3=0[/tex]

Which means the values of the coefficients are: a=3, b=-7, c=-3. Substituting the values in the formula:

[tex]\displaystyle x=\frac{-(-7)\pm \sqrt{(-7)^2-4(3)(-3)}}{2(3)}[/tex]

[tex]\displaystyle x=\frac{7\pm \sqrt{49+36}}{6}[/tex]

[tex]\displaystyle x=\frac{7\pm \sqrt{85}}{6}[/tex]

There are two real solutions for this equation:

[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}[/tex]

[tex]\displaystyle x_2=\frac{7- \sqrt{85}}{6}[/tex]

The approximate values of both roots are:

[tex]x_1\approx 2.70[/tex]

[tex]x_2\approx -0.37[/tex]

Answer:

(x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)

Step-by-step explanation:

Let us revise the rotation about the origin

Let us solve the question

∵ The vertices of triangle FGH are (-6, -8), (-2, -3), (-4, -2)

∵ The figure is rotated 180° using the origin as the center of rotation

→ By using the 2nd rule above

∴ The vertices of its image are (6, 8), (2, 3), (4, 2)

∴ The rule is (x, y) → (-x, -y)

The coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image do (x, y) right-arrow (negative x, negative y) ⇒ (x, y) → (-x, -y)

Answer:

B. they over explaining

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]7d + 3n = 85 \\ 7d = 85 - 3n\\d = \frac{85}{7} - \frac{3}{7}x\\\\[/tex]

The slope of the equation is -3/7 and the y-intercept is 85/7

Answer:

67

Step-by-step explanation:

With the information of f(2) = 22-5,  you can assume the equation will be f(x) = 11x-5. Using this, you can calculate f(5) by doing 11(5)-5, which is 50. 22-5 is 17, so 50+17=67

Answer:

Can you type the choices please?

pretty sure this is right!

Answer:

no

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: The rational numbers include all positive numbers, negative numbers, and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals, and repeating decimals are all rational numbers.

Answer:

-1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

16f=−4

Step 2: Divide both sides by 16.

Answer:

a

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The length is 12 + 2x  and the width is 10 + 2x

A = l*w

360 = ( 12+2x) ( 10+2x)

FOIL

360 = 120 + 24x+20x + 4x^2

Combine like terms

360 = 4x^2 +44x+120

Subtract 360 from each side

0 = 4x^2 +44x +120-360

0 = 4x^2+ 44x -240

For fun, lets solve

0 = 4( x^2 + 11x - 60)

0 = 4( x+15) ( x-4)

  Using the zero product property

x= -15  x=4

Since we cannot have negative length

x=4 ft

Answer:

[tex]x^2+11x-60=0[/tex]

Step-by-step explanation:

Refer to the drawing.

We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:

[tex]A=bh[/tex]

So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:

[tex]360=(12+2x)(10+2x)[/tex]

We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:

[tex]360=2(6+x)\cdot2(5+x)[/tex]

Multiply:

[tex]360=4(x+6)(x+5)[/tex]

Divide both sides by 4:

[tex]90=(x+6)(x+5)[/tex]

Multiply on the right:

[tex]90=x^2+6x+5x+30[/tex]

Add on the right:

[tex]90=x^2+11x+30[/tex]

Subtract 90 from both sides. So, our equation is:

[tex]x^2+11x-60=0[/tex]

And we're done!

Answer:

2/7

Step-by-step explanation:

Answer:

y=2/3+5

Step-by-step explanation:

Answer:

y=2/3+5

Step-by-step explanation:

x= -66/19

Multiply 2 on both sides:

2*(5x+6)/2=3(4x+12)*2

Simplify:

5x+6=24x+72

Subtract 6 from both sides:

5x+6-6=24x+72-6

Simplify:

5x=24x+66

Subtract 24x from both sides:

5x-24x=24x+66-24x

Simplify:

-19x=66

Divide both sides by -19

-19x/-19=66/-19

Simplify:

x= -66/19

Answer:

OK lets do it

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Step-by-step explanation:

3x - 2y = 19 ...1

Replace y = x-7 in ...1

3x - 2(x-7) = 19

3x - 2x + 14 = 19

x = 19 - 14

= 5

Replace x = 5 in y = x - 7

y = 5 - 7

= -2

(5,-2)

Answer:

m>−5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give the height of the observation deck modeled by the equation

h= -16t^2+149 where t is in seconds;

To get the time it will take the object to be 5 feet above the valley floor, we wil substitute h = 5ft into the modeled equation and calculate t;

h= -16t^2+149

5= -16t^2+149

-16t^2 = 5-149

-16t^2 = -144

t² = 144/16

t² = 9

t = √9

t = 3secs

Hence the time it will take for the object to be 5 feet above the valley​ floor is 3secs

Answer:

M=1/6

Step-by-step explanation:

Answer:

35 Men were in the dance recital

Step-by-step explanation:

The ratio from MEN to WOMEN is 5:7

49 female performers is 7

49/7= 7 performers

to find how many men, you would do 7*5

7*5= 35

35 Men were in the dance recital

Hope this helps and made sense!

Answer: 72.4 ft

Step-by-step explanation: A2+B2=C2 20squared plus Bsquared=30 22.4 squared plus 20squared equals 30squared and when you add all that together you get 72.4 ft

Answer:

Irrational

Step-by-step explanation:

Answer:

C.) 1

Step-by-step explanation:

EDG 2020

The value of f(g(0)) is 1.

Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).

h(x) is called the composite function.

Given a table which shows values for the two functions f and g for different values of x.

We have to find the value of f(g(0)).

f(g(0)) = f[ g(0)]

From the table, g(0) = -1.

f(g(0)) = f(-1) = 1

Hence the value of f(g(0)) is 1.

Learn more about Composition of functions here :

https://brainly.com/question/5614233

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The table is given below.

Answer: x=-8

Step-by-step explanation:

X+5=1-4

X+5=-3

Now subtract 5 from both sides

X=-8

Answer:

6666 divided by 1111 equals 6

Step-by-step explanation:

Answer: 10, 12, 14 are the next numbers

Explanation:

Answer:

318.33...

Step-by-step explanation:

[48(60)-15]/9

[2880-15]/9

2865/9

318.33

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

955/3

Decimal Form:

318.¯3(repeating)

Mixed Number Form:

318 1/3

Hope this helps :)