Answer:
The co-ordinates of K¹( -1 , -2 )
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the point K( -2,1 )
<em>when rotating a point 90° about the origin </em>
Given point A(x,y) transformation to A¹( - y,x )
Given point K(-2,1) → K¹ ( -(1) , -2)
<u><em>Final answer</em></u>:-
<em>The co-ordinates of K¹( -1 , -2 )</em>
Step-by-step explanation:
(You might need to draw the triangle on a piece of paper to follow)
First I tried to find the height in terms of<em> a</em>.
If you draw the height in, the triangle is cut in half. That half triangle is a right triangle.
Using the Pythagoras theorem you can find out the height. Since you know that the hypotenuse is also <em>a </em>(because it's an equilateral triangle) the equation would be:
(a/2)² + h² = a²
Assuming that h = height
(It's a/2 because when you cut the triangle in half, the base of the right triangle became a/2)
This equation is simplified:
a²/4 + h² = a²
a² + 4h = 4a²
4h = 3a²
h² = 3a²/4
Now, remeber that everything is squared so it should be
h = a√3/2
Now we have the height. To get the area we need to multiply it by the base, which is <em>a, </em>and then divide it by 2<em>.</em>
a√3/2 × a ÷ 2
a²√3/2 ÷ 2
a²√3/4
And there you go. Thats the area.
Answer:
Angle A = 68 degree
Angle B = 44 degree
Step-by-step explanation:
Sum of all interior angles = Angle A+Angle B+ Angle C
180 = 68+x+x-24
180 = 68+2x-24
180-68 = 2x-24
112+24 = 2x
136/2 = x
68 = x
Therfore, Angle A = 68 degree
Angle B = (x-24)
= (68-24)
= 44 degree
Mark as brainliest.
Answer:
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
Imma try hold up give me a second
