Well, let's see. The problem gave you an ordered pair. In other words, you have an 'x' and a 'y' coordinate. All you need to do is put them into the equation.
Step-by-step explanation:
This means that instead of --
-3x - 3y = 125 + 5y = -20
We would have:
-3(-5)-3(-5) = 125(-5) + 5(-5) = -20
From here, you just simplify it into:
30 = -650 = -20
Since the values are not the same, the ANSWER is NO. The ordered pair does not satisfy the following system of equations.
<h3><u>(2x - 5)(4x - 3)</u></h3>
The AC method, also known as splitting the middle, can be shown like this:
8x^2 - 26x + 15
<em><u>Check factors of 120.</u></em>
1 * 120
-1 * -120
2 * 60
-2 * -60
3 * 40
-3 * -40
5 * 24
-5 * -24
6 * 20
-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)
<em><u>Split the middle term.</u></em>
8x^2 - 6x - 20x + 15
<em><u>Group in terms of 2.</u></em>
(8x^2 - 6x) - (20x + 15)
<em><u>Factor each binomial.</u></em>
2x(4x - 3) - 5(4x - 3)
<em><u>Rearrange the terms.</u></em>
(2x - 5)(4x - 3)
Answer:
8.6
Step-by-step explanation:
This uses the Pythagorean Theorem
a^2 + b^2 = c^2
a = 5
b = 7
c = ?
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt(c^2) = sqrt(74)
c = 8.60 which when rounded = 8.6
Answer:
17
Step-by-step explanation:
8*2=4
4+8+5= 17