Solve what is in parenthesis first (5-9) = -4
Solve exponents next -4^3 = -64
Divide next
= -32
Lastly, subtract and resolve the negatives which become a positive number 125 - (-32) = 125 + 32 = 157
The statement H(30) = H(25) + 5 means that, "when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old"
<h3><u>Solution:</u></h3>
Given that,
Baby Amelia's parents measure her height every month
It is given that H(t) models Amelia's height (in centimeters) when she was "t" months old
Given statement is H(30) = H(25) + 5
So, we can say that H(30) = Amelia's height when she was 30 months old
H(25) = Amelia's height when she was 25 months old
So H(30) = H(25) + 5 means that,
Height of Amelia when she was 30 months old is 5 centimeter more than Amelia height when she was 25 years old
Or we can say that,
When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old
Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
_______________________________________________
Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
A
x=75°
B
We know that ∠EFG=∠ABF because they are corresponding angles.
We also know that ∠x+∠ABF=180, because angles along a straight line always equal 180:
x+105=180
x=75°
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9
B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6
C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16
D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25
The answer is D.
