Answer:
5(7y + 3)
Step-by-step explanation:
10y + 15 + 25y
= 5 x 2y = 10y
= 5 x 3 = 15
= 5 x 5y = 25y
= 5(2y + 3 +5y)
So, the answer is 5(7y + 3).
Hope this helps! :)
Also Symbolab is a good website/app to use it'll give the steps and answer.
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
x = 55
y = 70
Step-by-step explanation:
Since all three sides are equal, as indicated by the lines on the sides, all three angles are equal
Since a triangle is equal to 180 degrees
180/3 = 60
Each angle is 60 degrees
x+5 = 60
Subtract 5 from each side
x +5-5 = 60-5
x = 55
y-10= 60
y-10+10 = 60+10
y= 70
