Answer:
9 and 10
Step-by-step explanation:
The sqaure root of 85 is 9.21954445729.
9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.
<span>Consider a angle â BAC and the point D on its defector
Assume that DB is perpendicular to AB and DC is perpendicular to AC.
Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC
Proof
Consider triangles ΔADB and ΔADC
Both are right angle, â ABD= â ACD=90 degree
They have congruent acute angle â BAD and â CAD( since AD is angle bisector)
They share hypotenuse AD
therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles</span>
Hello
cos ( x + pi/2) =cos(x)cos(pi/2)-sin(x) sin(pi/2)
= cos(x)×0-sin(x) ×1
cos ( x + pi/2) = - sin(x)
<h2>
The ratio of the width to the length of a cell phone is 18 : 41.</h2>
Step-by-step explanation:
Given,
The length of a cell phone(l) = 82 mm and
The width of a cell phone(b) = 36 mm
Find, the ratio of the width to the length of a cell phone = ?
∴ The ratio of the width to the length of a cell phone
= 36 mm : 82 mm
= 36 : 82
Divided by 2, we get
= 
: 
= 18 : 41
Thus, the ratio of the width to the length of a cell phone is 18 : 41.
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
