Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:
Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33
y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
We are given an angle of 60° and a side of 15 cm.
We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.
sin = opp/hyp
hyp = 15 / sin 60
hyp = 17.32...
//
We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.
tan = opp/adj
adj = 15 / tan 60
adj = 8.660.....
8.660....² + 15² = 300²
since the square root of 300 is an irrational number, we have to turn it into a mixed radical.
The answer would be the top one.
Answer:
24
Step-by-step explanation:
if 1cubed equals one cubic inch so than u count the LxWxH will get you 4x3x2
Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.
As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.
To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.
We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,
Thus, Each friend of Tommy will receive 4 blue balloons.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
- Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.
To learn more about Linear Equations, click on the link below.
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Answer:
B
Step-by-step explanation:
