First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
Answer:
Vertex - (2,1)
minimum
Step-by-step explanation:
minimum y≥1
<span>What is the total interest she will pay on her loan?</span>
Answer:
the answer is $41 the cost of beans
Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>
Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's

From the question
a = 15
A = 70°
c = 14
So we have



C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>
Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>
To find b we can use the sine rule
That's



b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>
Hope this helps you