Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
Answer:
b and c, b and c are same
Step-by-step explanation:
Only a and d can be evaluated using simple substitution.
For a, integral of the square root of (x-1)dx i.e
let y = x-1
dy = dx
It becomes integral square root of ydy, ∫√ydy
which is can easily be evaluated and y is substituted back.
For d, integral of x times the square root of the quantity x squared minus 1
let y= x squared minus 1
then dy = 2xdx
dx = dy/2x
It becomes integral x times square root of y dy/2x
∫x√ydy/2x=∫√ydy/2=1/2∫√ydy which can easily be evaluated and y is substituted back
Answer:
x = 9
Step-by-step explanation:
5x -11 (+11) = 34 (+11)
5x = 45
5x ÷ 5 = 45 ÷ 5
x = 9
The first one: A=-15
Second one: B= -0.5
Third one: C= 0.01
