We have the equation:
h ( x ) = 4 x² - 16
When shifted 5 units right:
h ( x ) = 4 ( x - 5 )² - 16
And shifted 2 units down:
h ( x ) = 4 ( x - 5 )² - 16 - 2 = 4 ( x - 5 )² - 18
Answer:
The new equation is: h ( x ) = 4 ( x - 5 )² - 18.
The sum of the interior angles of a triangle is 180 degrees.
1.) Translating the problem into equation:
7:11:12 = 180 degrees
7x+11x+12x = 180 degrees; Where x = missing number
30x = 180
30x/30 = 180/30 divide both sides by 30
x = 6
2.) Substitute the values:
7x+11x+12x = 180
7(6)+11(6)+12(6) = 180
42+66+72 = 180
180 = 180
3.) Therefore, the angles should be 42 degrees, 66 degrees and 72 degrees.
4.) See attached drawing of triangle
This might help it has tons of different problems for your subject.
https://www.wyzant.com/resources/lessons/math/algebra/calculators/proportion
Answer:
The length of he hypotenuse of the triangle is x = 65.
Step-by-step explanation:
Here, the base of the right triangle = 56
The perpendicular = 33
The hypotenuse of the triangle = x
Now, by PYTHAGORAS THEOREM: In a right angled triangle

or, here

or, 
Hence, the length of he hypotenuse of the triangle is 65.
X - 4/2 ; where x = -1.6
Substitute x by its value.
-1.6 - 4/2 *as you notice, one number is in decimal and the other is in fraction form. We need to convert one form to the other to make the numbers like numbers so that solving the equation will be easier and less confusing.
4/2 can easily be converted into decimal by dividing 4 by 2 which equals to 2.
So, -1.6 - 2 = ? The operation is a subtraction, but the other number is in negative form, if both numbers have the same sign, we add them up and the sign is carried over to the sum.
-1.6 -2 = -3.6 * we add 1.6 + 2 = 3.6, then we carry over its negative sign = -3.6