What is the value of x? Leave your answer in simplest radical form.
2 answers:
<h3><u>Answer:</u></h3>
The value of x is 2√13.
<h3><u>Step-by-step explanation:</u></h3>With the help of Pythagoras theorem, we will find the value of x.
- => x² = 6² + 4²
- => x² = 36 + 16
- => x² = 52
- => √x² = √52
- => x = √52
- => x = √2 x 26
- => x = √2 x 2 x 13
- => x = 2√13
Therefore, the value of x is 2√13.
Hoped this helped.
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Answer:
The translation statement is given by:
After the translation, the coordinates of vertex A is (-2,6).
Step-by-step explanation:
Given :
Vertices of a triangle ABC are:
A(−3, 4), B(4, −2), C(8, 3)
The triangle is translated 2 units up and 1 unit right.
To find the co-ordinates of point A after translation.
Translation rules.
For shift of units up, the translation is given as:
For shift of units right, the translation is given as:
So, it says the triangles is translated 2 units up and 1 unit right.
The translation statement is given by:
So, co-ordinates of point A after translation is given by :
After the translation, the coordinates of vertex A is (-2,6).
Let's call n the number of days Marika's been training for the race, and the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so
On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:
It would be easier to write this continued addition as multiplication, in which case those same equations would look like
Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that . In general, we can say that
Which is expressed by option B.
(Bonus: What piece of information from this question did we not need to use here?)