Answer:
x = 15.65 and y = 5√2
Step-by-step explanation:
To get x and y we will use the Pythagoras theorem as shown
hyp^2 = adj^2 + opp^2
x^2 = 14^2+7^2
x^2 = 196 + 49
x^2 = 245
x = √245
x = 15.65
Similarly for y;
y2 = 5^2 + 5^2
y^2 = 25 + 25
y^2 = 50
y = √2*25
y = 5√2
Hence x = 15.65 and y = 5√2
It would surely be helpful if you let us know which angles to measure!
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Answer:
either D or A i’m not sure
explanation:
your multiplying by 4 each time.
4 x 4 = 16
16 x 4 = 64
64 x 4 = 256
thats for D
your adding 4 each time
19-15=4
15-11=4
11-7=4
7-3=4
that’s for A