Answer:
Step-by-step explanation:
an equation is : Use the point-slope formula.
y - y_1 = m(x - x_1) ; m : the slope when : x_1 = -3 and y_1 = 7
- 2 ×m = - 1 because this line is perpendicular to the line y= -2x-5 when the slope is -2
so : m= 1/2
an equation is : y - 7 =(1/2)(x+3)
<h3>
Answer: $5.16</h3>
==================================================
Work Shown:
72% = 72/100 = 0.72
72% of $3.00 = 0.72*3.00 = 2.16
The price increases by $2.16 to get the final answer of 3.00+2.16 = 5.16 dollars
-------
We can find this answer through this alternative route:
1.72*3 = 5.16
The multiplier 1.72 represents an increase of 72% since 1.72 = 1 + 0.72 = 100% + 72% = 172%
The length of the yard is 25ft.
In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.
2l + 2w = P
2(3x + 10) + 2(x) = 60
6x + 20 + 2x = 60
8x + 20 = 60
8x = 40
x = 5
Now that we have a value for x, we can plug into the length equation and find the length.
3x + 10
3(5) + 10
15 + 10
25
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
Answer:
the answer is D because "difference" is a key word for subtraction
Step-by-step explanation:
