Answer:
The standard form of the expression (5a+2)(a+4) is
.
Step-by-step explanation:
Here, the given expression is (5a+2)(a+4).
Now, (5a+2)(a+4) = 5a(a+4) + 2(a+4)
= 
= 
or, 
Also, Standard Quadratic form is 
Hence, the standard form of (5a+2)(a+4) is
.
Answer:
35
Step-by-step explanation:
that should be the answer

is the formula for calculating x1 and x2
To prove x1 + x2 = -b/a all we need to do is to express x1 and x2 from equation above
once we do we will get -2b/2a which is equal to -b/a because square root part will negate each other. one has + sign in front and other - sign
Showing that x1x2 = c/a goes similar way.
the numerator parts is actually difference of squares. after that we will have:
-b^2 -b^2 + 4ac = 4ac
in denominator we have 2a*2a = 4a^2
4ac/4aa = c/a
Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .