Step-by-step explanation:
(5x + 2)(2x –3)
5x² – 15x + 4x – 6
5x² – 11x –6
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
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Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
Answer:
See below.
Step-by-step explanation:
1)
So we have:
This can be interpreted as:
"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."
2)
So we want even numbers are in the set of integers.
This is interpreted as:
"The set of even numbers (2n such that n is an integer) is in the set of integers"