Answer: (5,10)
Step-by-step explanation:
multiply first equation with 2 and add it to second to eliminate X
7x-5y=-15 //*2
14x-10y=-30
-14x+7y=0
----------------
-3y=-30
y=-30/-3
y=10
7x=50-15
7x=35
x=35/7
x=5
Answer:
45
Step-by-step explanation:
F(-4). F(x) = 2x^2 - x + 9
To solve this problem you must apply the proccedure shown below:
1. You have the the<span> 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
3</span>9 degrees 45'=39.75°
<span>
Sin(39.75°)=d/13.5
d=13.5x</span>Sin(39.75°)
<span> d=8.63
</span>
5^-4^=25-16=9 root from 9 is 3 so it’s c) 3 miles
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
