in order to find a point on the line assume that the line cuts the y-intercept at x=0 then subsitute this value on the equation to get the value of of y at this point x=0
Answer:
see explanation
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b)
(x - 1)² - 25 ← is a difference of squares
with a = x - 1 and b = 5, thus
(x - 1)² - 25
=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Solutions are x = - 4, x = 6
The angle measures that are possible for a triangle to be classified as scalene are:
- 7∘,160∘,13∘
- 48∘,71∘,61∘
- 15∘,52∘,113∘
<h3>What is scalene triangle?</h3>
A scalene triangle can be described as a triangle which consist three sides and all the three sides are of different lengths, having all three angles with different measures.
It should be noted that the sum of all the interior angles is equal to 180 degrees.
In conclusion, scalene triangle serves as the triangle having all three sides to be in a different lengths, and the three angles have different measures.
Learn more about scalene triangle at:
brainly.com/question/16589630
#SPJ1
Answer:
<u>x = 6, length = 8 cm and width = 7 cm</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 56 cm²
Length of the rectangle = x + 2
Width of the rectangle= 2x - 5
2. Solve for x. Round to the nearest whole number.
Area of a rectangle = Length * Width
(x + 2) (2x - 5) = 56
2x² + 4x - 5x -10 = 56
2x² - x - 66 = 0
Factoring, we have:
(2x + 11) * (x - 6) = 0
x₁ = 2x + 11 = 0 ⇒ 2x = -11; x₁ = - 5.5
x₂ = x - 6 = 0 ⇒ x₂ = 6
We picked x₂ because x₁ will give us negative values for length and width.
Length = 6 + 2 = 8 cm
Width = 2 * 6 - 5 = 12 - 5 = 7 cm
