Let y = 0 to find the zeros.
We can now split the middle term into factors of 6 that add up to 5.
Group the first two terms, and group the last two terms, and factorise.
Group like terms.
Now, we know that in order for a zero to occur, either x + 3 = 0 or x + 2 = 0.
Hence, x = -3 and -2 are the zeros in this quadratic.
5v+8=93
Subtract 8 from both sides.
5v=85
Divide both sides by 5.
v=17
Answer:
Step-by-step explanation:
We have been given a graph of similar triangles. We are asked to find the value of x.
Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.
Upon cross multiplying our equation we will get,
Upon distributing 4 we will get,
Let us subtract 12 from both sides of our equation.
Upon dividing both sides of our equation by 4 we will get,
Therefore, the value of x will be 12.
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;
Substituting the values, we get;
Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE =
Length of EC =
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;
Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;
Thus, the length of DB is 46.
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142