Answer:
10 ft away
Step-by-step explanation:
do pythagorean theorum
24^2 + b^2 = 26^2
576 + b^2 = 676
*subtract 576 from both sides*
b^2 = 100
*find square root of 100*
b = 10
<h2>Steps</h2>
So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):
- When <em>decrease</em>: (1 - p)m
- When <em>increase</em>: (1 + p)m
So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:
<em>On Tuesday, the share went from $80 to $68</em>
Next, on Wednesday the share increased by $7. With this, just add $68 and 7.
<em>On Wednesday, the share went from $68 to $75</em>
Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:
<h2>Answer</h2>
<u>The final price of the share is $84.</u>
Answer:
5 2/3
Step-by-step explanation:
2 * 2 5/6
2 * (12+5/6)
2 * (17/6)
34/6
17/3 = 5 2/3
Answer:
Step-by-step explanation:
The key here is knowing that the equation of the line that passes through these points is same
Thus having (6,14) and (0,0), the slope is as follows;
m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3
Now we can use this slope here to get the value of y in the question
All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)
That would be;
7/3 = y-14/1-6
7/3 = y-14/-5
cross multiply;
-35 = 3(y-14)
-35 = -3y + 42
-3y = -35-42
-3y= -77
y = -77/3
y = 77/3
Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
