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Juliette [100K]
2 years ago
9

Variable y varies directly with variable x, and y = 6 when x = 20.

Mathematics
1 answer:
-BARSIC- [3]2 years ago
7 0
In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
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A line contains the points (82,-96) and (87,-86)<br> what is the sloped line is simplified form?
OlgaM077 [116]
Slope formula: y2 - y1 ÷ x2 - x1
Let's label the points. (82[x1], -96[y1]) (87[x2], -86[y2])
-86 - -96 would turn into -86 + 96, coming out to 10. 
87 - 82 = 5.
10/5 would be the unsimplified slope.
Divide both numbers by 5, and you get 2/1.
2/1 simplifies to 2 because two divided by one equals two, as one can go into two twice.
Slope line in simlified form: 2
4 0
3 years ago
Read 2 more answers
D what is the image point<br> of (3-4) after a translation<br> left 2 units and ups units?
SOVA2 [1]

Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

8 0
3 years ago
Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
netineya [11]
The area of the shaded region is going to be the area of the rectangle minus the area of the square.

Area of a rectangle is L * W.
A = L * W
A = (x + 10)(2x + 5)
A = x(2x + 5) + 10(2x + 5)
A = 2x^2 + 5x + 20x + 50
A = 2x^2 + 25x + 50 .....this is the area of the rectangle

area of a square is : A = a^2...where a is one side
A = (x + 1)^2
A = (x + 1)(x + 1)
A = x(x + 1) + 1(x + 1)
A = x^2 + x + x + 1
A = x^2 + 2x + 1

now we subtract the area of the square from the area of the rectangle to get the area of the shaded region.

2x^2 + 25x + 50 - (x^2 + 2x + 1) =
2x^2 + 25x + 50 - x^2 - 2x - 1 =
x^2 + 23x + 49 <== the area of the shaded region
6 0
3 years ago
The quotient of the sum of 2t and 2 and twice the cube of s
Vladimir79 [104]

The equation according to the given verbal sentence is \frac{2 t+2}{2 s^{3}} (after solving this \frac{t+1}{s^{3}} ).

<u>Step-by-step explanation:</u>

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

       2 t + 2

twice the cube of s

      2 s^{3}

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s  means,

             2 t + 2  divided by 2 s^{3}

Now, the equation would be \frac{2 t+2}{2 s^{3}}

When solving this equation, we get

         \frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}

8 0
3 years ago
Enter a formula in cell B3 using the Vlookup function to find the meaning for thr medical abbrevation listed in cell A3. use the
NeX [460]
Formulas tab > in the Function Library group, click Lookup & Reference button, select VLOOKUP. Type A3 in the Lookup_value argument box. Type Abbreviation in the Table_array argument box. Type 2 in the Col_num argument box. Type False in the Rang_lookup box. Click OK, is this what you were looking for?
8 0
2 years ago
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