Answer:
It's easy
Step-by-step explanation:
Use the order of operations in reverse to isolate the variable on one side of the equation. The order of operations is PEMDAS -- parentheses, exponents, multiplication, division, addition and subtraction. When solving for a variable, use the order in reverse -- SADMEP.
Perform the opposite operation to what is called for in the equation. If the equation requires you to multiply, you will divide. If the equation calls for subtraction, you will add.
Repeat the same operation on both sides of the equation. In the area of the triangle example, you arrived at the formula 100=1/2 (20h). You want to get the “h” by itself on one side of the equation. Multiply both sides of the equation by 2 to counteract the effect of the “1/2.” You then have 200=20h. Divide both sides of the equation by 20 to isolate the “h.” You find out that h=10.
Source: https://sciencing.com/value-variable-geometry-12158741.html
The type of transformations that maps triangle ABC onto Triangle prime ABC is a Reflection across the line y=x ; translation 10 units to the right and 4 units up.
<h3>What is the reflection about?</h3>
Note that: Triangle ABC has vertices at points which are:
A(-6,2), B(-2,6) and C(-4,2).
Therefore, the reflection across the line y=x has the rule of"
(x, y) ---(y, x).
Hence:
A(-6,2) -- A''(2,-6);
B(-2,6)--- B''(6,-2);
C(-4,2)----C''(2,-4).
2. The translation 10 units to the right and 4 units up is:
(x, y)----(x+10,y+4).
Hence
A''(2,-6)----A'(12,-2);
B''(6,-2)----B'(16,2);
C''(2,-4)----C'(12,0).
Therefore, Points A'B'C' are said to be exactly of the vertices of that of triangle A'B'C'.
Hence, The type of transformations that maps triangle ABC onto Triangle prime ABC is a Reflection across the line y=x ; translation 10 units to the right and 4 units up.
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Answer:
29
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 0, 3 ], thus
f(b) = f(3) = 4(3)³ - 3(3)² + 2(3) - 1 = 108 - 27 + 6 - 1 = 86
f(a) = f(0) = - 1, thus
average rate of change = 
= 
= 29
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
9.6%
Explanation:
5/8 is 0.6
If i misunderstood your question please explain further
