Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
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
The value of the population variance or standard deviation
Answer:
136 ounces
Step-by-step explanation:
Note:
The Formula of Pounds to Ounces is Multiply the mass value by 16
Solutions:
Let first start with 8 pounds
8 x 16= 128
Then 1/2 turn into a decimal is (0.5).
So, 0.5 x 16 =8
Lastly 128+8=136
Hence, Adam new baby sister weigh 136 ounces.
Answer:
Yes, the following equation is a quadratic function in vertex form
Step-by-step explanation:
we know that
The <u>quadratic function</u> of the vertical parabola into <u>vertex form</u> is equal to
where
(h,k) is the vertex of the parabola
If the <u>coefficient</u> a is > 0 ----> the parabola open upward (vertex is a minimum)
If the coefficient a is < 0 ----> the parabola open downward (vertex is a maximum)
in this problem we have
The <u>squared term</u> contain the x-coordinate of the vertex
The <u>constant term</u> is the y-coordinate of the vertex
The vertex is the point (2,6)
The coefficient is equal to
----> open upward (vertex is a minimum)
