Let n be a side of the square. Then:
n²=36
n=√36=6 cm.
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Answer:
<u>Height = 3 inches and Base length = 7 inches</u>
Step-by-step explanation:
1. Information provided to answer the question correctly:
Base of the triangle = x+ 4
Height of the triangle = x
Area of the triangle = 10.5 inches²
2. Find the base length and height
Let's recall the formula of the area of a triangle:
Area = (Base * Height)/2
Replacing with the values we know:
10.5 = x (x + 4)/2
21 = x² + 4x
x² + 4x - 21 = 0
(x + 7) (x - 3) = 0
(x₁ + 7) = 0 ⇒ x₁ = -7
(x₂ - 3) = 0 ⇒ x₂ = 3
We take x₂ as the answer because x₁ = -7 is not a valid height.
<u>Height = 3 inches and Base length = 7 inches</u>
Answer:
4 feets
Step-by-step explanation:
Given that :
Height of tree = 20 feets
Shadow of tree = 15 ft
Height of student = 5ft 4 in ; 4 in = 0.3333 foot = 5.3333 feet
Shadow of student = s
Height of tree / shadow of tree = height of student / shadow of student
20 / 15 = 5.33333 / s
Cross multiply :
20 * s = 15 * 5.33333
s = 79.99995 / 20
s = 3.9999975
Shadow of student =, 4 feets
Answer:
24
Step-by-step explanation:
Answer:
An equation in standard form for the line is:

Step-by-step explanation:
Given the points
The slope between two points




Writing the equation in point-slope form
As the point-slope form of the line equation is defined by

Putting the point (-2, -1) and the slope m=1 in the line equation



Writing the equation in the standard form form
As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants
so


Therefore, an equation in standard form for the line is:
