Which of the following is a solution of the inequality? -3 less than 2x+ 1 less than 5
1 answer:
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Answer:
A. √3 : 2
D. 3√3 : 6
Step-by-step explanation:
In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°
The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit
The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units
From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side
This is to say if;
The given the shorter leg = 1 unit
The hypotenuse is twice the shorter leg= 2 units
The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg
where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;
<u>Hence the summary is</u>
a=shorter leg= 1 unit
b=longer leg = √3 units
c=hypotenuse=2 units
The ratio of longer leg to its hypotenuse is
=√3:2⇒ answer option A
This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A
Answers are :option A and D
Answer:
The y-intercept of function g located at (0,2)
Step-by-step explanation:
Function :
g(x) is a transformation of the quadratic parent function
We are supposed to find the where is the y-intercept of function g located
y intercept = the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. x =0
So, substitute x = 0 in function
g(x)=x^2+2
g(0)=0^2+2
g(0)=2
So,(x,y)=(0,2)
So, The y-intercept of function g located at (0,2)