If the roots are r1,r2,r3, the facotred polynomail looksl ike this
f(x)=(x-r1)(x-r2)(x-r3)
given
roots 4,2i and -2i
f(x)=(x-4)(x-2i)(x-(-2i))
f(x)=(x-4)(x-2i)(x+2i)
expand
f(x)=x³-4x²+4x-16
3rd option
2x+3x+5x=90
10x=90
x=9
2 times 9=18
3 times 9=27
5 times 9=45
$18, $27, and $45.
The kite is directly 35.707 yards high above Erika
Step-by-step explanation:
Given scenario forms a right triangle where the length of string is the hypotenuse and the distance between Mary and Erika is the base.
So
We have to find the perpendicular
Using pythagoras theorem,
Putting the values
Taking square root on both sides
Hence,
The kite is directly 35.707 yards high above Erika
Keywords: Triangle, Pythagoras
Learn more about triangles at:
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It is not an equation, it's a function & I guess you have to draw it
h(x) = - 2x/3 - 11/3
It's a linear function: To draw it, try to find 2 points, say A & B.
To find A, plug any (logical) number into x to find y. For instance , let x=0, if so y=-11/3 & the coordinate of the first point A(0, - 11/). Try to find B by following the same methodology
See answers below.
Step-by-step explanation:
Here apply the relationship of angles formed on a straight line.Angles formed on a straight line add up to 180°
13. m∠1 = 180° - 68° = 112°
14. m∠3=180°-122°=68°
15. m∠4=180°-(68°+90) = 180°-158°=22°
16. m∠5=90° ⇒right-angle
17.
Finding the value of x will require you to equate the sum of the expressions for the two angles to 180°
(2x+11)° + (6x-7)°=180°
2x+6x+11-7=180°
8x+4=180°
8x=180°-4°
8x=176°
x=176°/8 = 22°
Hence ;
∠MHT = (6x-7)°
=(6*22 -7)°
=(132-7)°
=125°
and
∠AHM = (2x+11)°
= (2*22 +11)°
= 44 + 11 = 55°
Learn More
Angles: brainly.com/question/9695253
Keyword : Angle, relationship
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