Answer:
21
Step-by-step explanation:
y= 2/3 x
so, x= 3/2y
when y= 14
x= 3/2×14 = 21
Simplify √36x²y3 and you get
↓↓↓
√18 x y ³
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
The solution to the given quadratic equation is;
x = -2 and x = 1/5
<h3>Roots of quadratic Equation </h3>
We are given the quadratic function;
(x + 2)(5x - 1) = 0
In quadratic functions, when it is expressed as;
(x + a)(x - b) = 0, what this means is that the factors of the quadratic equation or polynomial are; (x + a) and (x - b)
What that means is that the roots will be gotten from;
(x + a) = 0 and (x - b) = 0
Thus, applying the concept above on roots of a polynomial to our question, we have;
(x + 2) = 0 and 5x - 1 = 0
Solving them gives us;
x = -2 and x = 1/5
Read more on roots of quadratic equation at; brainly.com/question/8649555
Answer:
8.8 hours
Step-by-step explanation:
Happy paws cost equation
5.50h + 20
Wood watchers cost equation
6.75h + 9
Make the two equations equal
5.50h+20 = 6.75h+ 9
Collect the co-efficient of both sides.
6.75h- 5.50h= 20-9
1.25h= 11
Divide both sides by the coefficient of h
1.25h/1.25= 11/1.25
h= 8.8
