Answer:
18 + x or x + 18
Step-by-step explanation:
Hi there! I'm glad I was able to help you solve this math problem!
We are already given the number eighteen to start with, so this helps us a lot.
Since the word INCREASED means to add, and <u>we're increasing eighteen by x</u>, all you have to do is write it out to get your algebraic expression, as shown:
18 + x
You can also write the expression as x + 18! It doesn't matter what order you write it in.
I hope this helped you! You can comment below if you have any further questions! :)
The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows:
divide each term by 20
(5y^2)/20-(4x^2)/20=20/20
simplifying gives us:
y^2/4-x^2/5=1
This follows the standard form of the hyperbola
(y-k)²/a²-(x-h)²/b²=1
thus
a=2, b=√5 , k=0, h=0
Next we find c, the distance from the center to a focus.
√(a²+b²)
=√(2²+(√5)²)
=√(4+5)
=√9
=3
the focus of the hyperbola is found using formula:
(h.h+k)
substituting our values we get:
(0,3)
The second focus of the hyperbola can be found by subtracting c from k
(h,k-c)
substituting our values we obtain:
(0,-3)
Thus we have two foci
(0,3) and (0,-3)
See attachment for the graph of y = 2x - 1
<h3>How to graph the function?</h3>
The equation of the function is given as:
4x + y = 6x - 1
Subtract 4x from both sides of the equation
y = 2x - 1
This means that the equivalent equation of 4x + y = 6x - 1 is y = 2x - 1
So, we plot the graph of y = 2x - 1 to represent the equation 4x + y = 6x - 1
See attachment for the graph of y = 2x - 1
Read more about linear equations at
brainly.com/question/14323743
#SPJ1
Answer:
3
Step-by-step explanation:
12cm / 4 = 3cm
Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get
Adding x on both sides, we get
The missing length is 3 Therefore, the correct option is D.
