Sum of the terms of the series is
Sn = n/2 ( a1+an )
we have n= 6 , a1= 17, an = 57
so Sn = 6/2 ( 17+57) = 3(74) = 222
Equation in slope-intercept form is y = 2x - 6
Step-by-step explanation:
- Step 1: Given slope of the line, m = 2. Form an equation y = mx + b
⇒ y = 2x + b ---- (1)
- Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.
⇒ 2 = 2 × 4 + b = 8 + b
⇒ b = -6
- Step 3: Form the slope-intercept equation.
⇒ y = 2x - 6
Answer
Perimeter = 1.75 times larger
Area = 3.0625 times larger
Step-by-step explanation:
Let the original quadrilateral have sides of a, b, c, d
Perimeter of the New Photograph
- Then the perimeter of the original is P = (a + b + c + d)
- Now the perimeter of the new quad is P = 1.75a + 1.75b + 1.75c + 1.75d
- Using the distributive Property we get P = 1.75(a + b + c + d) So the new perimeter is 1.75*the old perimeter.
Area of the New Photograph
The area is a little harder. Suppose the Old figure had an Area found by the formula of
- Area = e * f Each measurement is increased by a factor of 1.75
- Area_new = 1.75e * 1.75f
- Area_new = 3.0625 * e * f
- Area_new = 3.0625 * old area
Answer:
solution: -3<w<6
interval notation: (-3,6)
Step-by-step explanation:
The coordinates are (-3,6) all you have to do is put them on a graph! Hope this helps!
