Answer:
The value of x = 5 units.
Step-by-step explanation:
Given the right-angled triangle ∆ABC with the following dimensions
AC = a = 12
BC = c = hypotenuse = 13
AB = b = x
Pythagorean Theorem
For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

Thus, using the Pythagorean Theorem to determine the value 'x',

as b = x, so

so


Therefore, the value of x = 5 units.
The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points
, which reflects the fact that
and
, which reflects the fact that
.
Now,
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
Look for "Math Clues." Math Clues are like how many, fewer, left, and more.
How many is the total.
Fewer & Left are subtraction.
More represents add.