The model shows that we are to arrange the factors based on the terms in the square box. The factored form is(6x+5)(x-4)
<h3>Factorizing quadratic equations</h3>
Factorization is a way of simplify. Given the equation 6x² - 19x - 20
Factorize
6x² - 19x - 20
6x² - 24x + 5x- 20
6x(x-4)+5(x-4)
(6x+5)(x-4)
We are to arrange each term of the factors in the square box
Learn more on factoring here: brainly.com/question/24734894
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Answer:
2,4,6,8,10,12,14,16,18,20,22,24,26,28 for 2 3,6,9,12,15,18,21,24,27 for 3
Step-by-step explanation:
for both 6,12,18,24
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
B^2=9^2
9^2=81.
81 = answer
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
