The value of y, the length of each leg, must be greater than 7.
<h3>
What is Isosceles triangle?</h3>
This is a type of triangle with two equal sides.
<h3>Rules for side length of triangles</h3>
- The sum of any two sides of a triangle must be greater than the third side.
Let the first, second and third side = a, b and c respectively
(b - a) < c < (a + b)
For an isosceles triangle with base of 14 units, the two other sides must be equal.
c < (a + b)
c = 14
a = b = y
14 < (y + y)
14 < 2y
7 < y
Thus, the value of y, the length of each leg, must be greater than 7.
Learn more about length of triangles here: brainly.com/question/2217700
#SPJ1
Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
___
1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
__
2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
Points on the graph:
(0, 0)
(1, 4)
(2, 8)
Step-by-step explanation:
Just input the first 4 values for x:
(0, y)
y = 4x
y = 4(0)
y = 0
(1, y)
y = 4x
y = 4(1)
y = 4
(2, y)
y = 4x
y = 4(2)
y = 8
(7)The area of triangle = 0.5 * height * base // height = 6 ft //base = 10 ft //Area = 0.5 * 6 * 10 = 30 ft²===========================================================================
(16)length of the square = 2 * √7 = 2√7 //
Area of the square = (2√7)² = 28 //
==========================================================================================================
(29) If the length of regular hexagon = a //
Apothem of regular hexagon = a sin 60 //
apothem = 6 //
∴ the length of hexagon = apothem/ sin 60 = (12√3)/3 //
perimeter = 6 * the length of hexagon = 24√3 //
Area = 0.5 * perimeter * apothem = 0.5 * 24√3 * 6 = 72√3 //
=====================================================(39) The length of the arc = radius * inscribed angels in radian // ∴ The length of the arc = 4 * 110 * π/180 = 22π/9 ≈ 7.68 in // =======================================================
(45)The shaded area = half the area of the circle - Area of the triangle // Area of triangle = 0.5 * r² * sin 120 = 0.5 * 6² * sin 120 = 15.588 // Area of the circle = π r² = 3.14 * 6² = 113.04 // The shaded area = 0.5 * 113.04 - 15.588 = 40.96 ≈ 41