Answer:
I’m doing that exact question right now on a test so I just guessed
Step-by-step explanation:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Answer:

Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have


substitute


step 2
we know that
The area of a circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 8 π/11 radians

Answer: First option is correct.
Step-by-step explanation:
Since we have given that

We first solve the brackets:
(16-9) = 7
Now, we multiply it with 4

Now, we add 3 to it:

Hence, the value of expression would be 31.
Therefore, First option is correct.
<span>Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C.
The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5
To do this calculation we are going to use the trigonometry function tangent:
tangent C = opposite/adjacent = 4/2.5 = 1.6
Then C angles is: C = arctan (1.6) = 57.99Âş
So the solution is round to 58Âş</span>