Answer:
it is a 30 degree angle
Step-by-step explanation:
<h2>
Greetings!</h2>
Answer:
x = 67.5
Step-by-step explanation:
Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.
This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.
71.5 - 22 = MA = 49.5
71.5 ÷ 49.5 = 
So to get to line MP length, line MB had to be multiplied by to get 97.5
The reverse of this is dividing 97.5 by :
97.5 ÷ 
= 67.5
So x = 67.5
<h2>Hope this helps!</h2>
Answers: b, d and e
b.The graph has a relative minimum
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f(x)=(x+5)(x-3)
The given equation is in the form of f(x) = a(x-b)(x-c)
If 'a' is positive then graph has a relative minimum
If 'a' is negative then graph has a relative maximum
Here a=1 that is positive so graph has a relative minimum .
To find x intercept we set f(x) =0 and solve for x
0=(x+5)(x-3)
x+5 =0 -> x = -5 so x intercept is (-5,0)
x - 3=0 -> x= 3 so x intercept is (3,0)
To find y intercept we plug in 0 for x
y=(x+5)(x-3)
y=(0+5)(0-3) = -15
so y intercept is (0,-15)
Let the number of hours she works be x
2x+15 15 more than twice the
3x-15 15 less than 3 times the hours she worked
2x+15=3x-15
3x-2x= 30
x= 30
the number of hours she worked is 30
Answer:
The last equation x2 - 2x -4 = 0
has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)
Step-by-step explanation:
If a quadratic function has roots 1 and 5
f(x) = (x -1)(x- 5)
f(x) = x^2 - 6x + 5
Unless you meant. -4 and 6 ?
g(x) = (x + 4)(x - 6)
g(x) = x^2 -2x -24
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Or did you mean x = 1 and x =4 ?...
x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0
x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0
0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2
x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0
