Okay so we know that side WT and side SV are the same length because of the hypotenuse leg theorem so now you just have to solve for x.
2x+9=4x-1
get the xs on one side
4x-2x=9+1
simplify
2x=10
divide by 2
x=5
Answer:
y = 2x + 5+2 graph would shift by 2 unit.
Step-by-step explanation:
Given : y = 2x + 5 .
To find :If you wanted to shift the graph up what would be equation .
Solution : We have given that y = 2x + 5 .
BY the transformation rule ; if f(x) +k then graph would shift up by k units .
Then to shift the graph of y = 2x + 5 up we need to add something in 5
Like y = 2x + 5+2
Then graph would shift by 2 unit.
Therefore, y = 2x + 5+2 graph would shift by 2 unit.
(3x5)X2=5x(2x3)
15x2=5x6
30=30
This is a tricky question to answer without diagrams and there are useful videos online. A regular triangular prism has an equilateral triangle as its base with edge length 7cm, forming a prism with a total height of 11cm. We wish to calculate the area of the 3 equal triangular faces.
The formula for area of a triangle is 0.5 x base x height. We have the base (7cm) but the problem is we do not have the height (or slant length) of the lateral faces, we only have the height of the entire prism. We must first calculate the slant length by building a triangle inside the prism which goes from the centroid of the base (the inradius) to the centre of an edge. As the base is an equilateral triangle finding the inradius is much more difficult than for a square pyramid.
inradius = 1/6 x (SQRT of 3) x length
inradius = 1/6 x (SQRT of 3) x 7cm = 2cm
We now have a right angle triangle with base = inradius, height = height of prism, and hypotenuse = slant length we need.
Use pythag to calculate hypotenuse a^2 + b^2 = c^2
2^2 + 11^2 = c^2
4 + 121 = c^2
c= SQRT(125) = 11.18cm
We now have the missing slant length or height of the lateral triangles of the prism. We can find the area of one face and multiply it by 3 to get the total surface area of the lateral faces of the pyramid.
base = 7cm
height = 11.18cm
area of triangle = 0.5 x 7 x 11.18 = 39.13cm^2
Multiply this area by 3 to get the sum of all 3 lateral triangle surface areas, total area = 117.39cm^2
Answer:
5
Step-by-step explanation:
So we want to find the value of x where the area to the left of it is equal to 0.6.
Let's start by finding the area of the first triangle, between x=0 and x=4.
A = 1/2 bh
A = 1/2 (4) (0.2)
A = 0.4
So we know a > 4. What if we add the area of that rectangle?
A = 0.4 + bh
A = 0.4 + (1) (0.2)
A = 0.6
Aha! So a = 5.