The correct answer is A.) { - 0.79 ; 1.08 }, because
<span><span> <span>For </span><span>ax^2 + bx + c = 0</span><span>, the value of </span>x<span> is given by:</span></span> <span> ;
a = - 7 ; b = 2 ; c = 6 ;
b^2 - 4ac = 4 + 168 = 172 ; </span></span>
≈ 13.11 ;<span><span>
x 1 = ( - 2 + 13.11 ) / (- 14) = 11.11 / ( - 14 ) </span></span>≈<span><span> -0.79 ;
x = 2 = ( - 2 - 13.11 ) / ( - 14 ) = (-15.11) / (- 14 ) </span></span>≈ 1.08 ;<span><span>
</span></span>
Answer:
First Image: Option D
Second Image: Option D
Third Image: Option C
Fourth Image: Option B
Fifth Image: Option B
Step-by-step explanation:
<u>First Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 47 = 133°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
<u>Second Image:</u>
- A triangle angles adds up to 180°
- Two angles are already given
- 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Third Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 110 = 70°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fourth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 120 = 60°
- we are shown a right angle which = 90°
- A triangle adds up to 180°
- 180 - 90 - 60 = 30
- ? = 30°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fifth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 85 = 95°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
Learn more about Triangles here: brainly.com/question/4186813
Answer:
I think it would be 85 degrees.
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
