Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

Answer:

the answer is 14.04

...............

25 % of pizzas were mushroom pizzas.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Number of mushroom pizzas = 19,

And number of pepperoni pizzas = 57.

Total number of pizzas = 19 + 57 = 76.

To find the number of percentage of pizzas of mushroom,

Use percentage property,

= (Number of mushroom pizzas / total pizzas) x 100

= (19 / 76) x 100

= 100/ 4

= 25 %

The required percentage of mushroom pizzas = 25 %.

To learn more on Percentage:

https://brainly.com/question/24120406

#SPJ5

Answer: 576

Step-by-step explanation:

(I just know the powers of smaller numbers by memory so...)

2^6(2x2x2x2x2x2) = 64

You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512

Final answer = 512 + 64 = 576

[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]

[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]

[tex]\\ \sf\Rrightarrow 64+512[/tex]

[tex]\\ \sf\Rrightarrow 576[/tex]

Option A is correct

Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest

Step-by-step explanation:

Answer:

11y = -32  

Step-by-step explanation:

Answer:

No the lines are perpendicular.

Step-by-step explanation:

The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

Answer: 50

Step-by-step explanation: add DBC and ABD to get 50 ABC is 50

Answer:

i think probably 20

Step-by-step explanation:

if 200 students, students do not prefer math 10/100 × 200 = 20

Answer:

It the W or the orange point

Answer:

[see below]

Step-by-step explanation:

Three less than a number (x) would be: x - 3

"The product of three less than a number and eight" would be 8(x-3).

The product of three less than a number and eight is nine would be:

8(x-3) = 9

[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]

Hope this helps.

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Hey there!

2/5%

= 2/5

= 2 ÷ 5

= 0.40

= 0.40 × 100

= 40%

Therefore, your answer is: 40%

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

b

Step-by-step explanation:

RT is a perpendicular bisector of QS , then

Δ QRS is isosceles with 2 congruent legs , that is

QR = SR

7x - 22 = 4x + 5 ( subtract 4x from both sides )

3x - 22 = 5 ( add 22 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41

====================================================

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

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

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

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

In total, the four roots are:

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

Answer:

A because the other answer choices are not associated with what is in the graph

Answer:

a = 2

Step-by-step explanation:

Simplifying

3a + 6 = 2a + 8

Reorder the terms:

6 + 3a = 2a + 8

Reorder the terms:

6 + 3a = 8 + 2a

Solving

6 + 3a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

6 + 3a + -2a = 8 + 2a + -2a

Combine like terms: 3a + -2a = 1a

6 + 1a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

6 + 1a = 8 + 0

6 + 1a = 8

Add '-6' to each side of the equation.

6 + -6 + 1a = 8 + -6

Combine like terms: 6 + -6 = 0

0 + 1a = 8 + -6

1a = 8 + -6

Combine like terms: 8 + -6 = 2

1a = 2

Divide each side by '1'.

a = 2

Answer:

  C.  x+y=5; -2x+y=2

Step-by-step explanation:

The slope of the line in Table A is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-6 -(-4))/(11 -9) = -2/2 = -1

The slope of the line in Table B is ...

  m = (-8 -20)/(-5 -9) = -28/-14 = 2

We observe that the slopes have different signs. This means the signs of the terms in the standard form equation will be different from one equation to the other. The only pair of equations for which that is true is the pair in choice C.

Trying these equations on the first line of the tables, we see they match the table values.

  Table A: 9 +(-4) = 5 . . . true

  Table B: -2(9) +20 = 2 . . . true

_____

Additional comment

Neither equation in choice A has the correct slope for either table. The equations in choice B are inconsistent, both having slope -1, but different y-intercepts.

Answer:

y=1.58

Step-by-step explanation:

7=4(3y-3)

Simplify the distributive property.

7=12y-12

Add 12 to both sides.

19=12y

Divide 12 on both sides.

1.58=y

-hope it helps

Answer:

0.2 mi

Step-by-step explanation:

3 mi for 15 min

so divide 3 mi by 15 min = 0.2

Answer:

[tex]n(x)=x-2[/tex]

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Answer:

The solution is given in the photo

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

Answer:

The awnser in the first option. A

Answer:

p= 25000

I=3%

t=5yrs

a= pti÷ 100

25000*3*5÷100

3750

Answer:

because you was busy and nor interested in paying attention.

Answer:

136° that's 90 plus 46.........

Answer:

x = 136°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 90° + 46° = 136°