Answer:
The vertical depth travelled by the dolphin = 36 feet
Step-by-step explanation:
The dolphin is a fish that can jump out of the water and therefore it is used in circus shows and exhibitions.
Initially the dolphin is at a depth of 28 feet deep inside the water surface.It comes to water surface and then jumps out of the water to a height of 8 feet.
The vertical distance travelled by the dolphin can be found by taking the difference of final height and initial depth.
Vertical depth = final height - initial depth
= 8 - (-28)
= 36 feet
The vertical depth travelled by the dolphin = 36 feet
Answer:
h(x)=x²+6 and g(x)=8x-5
prove that hg(x)=19
Step-by-step explanation:
step 1: hog(x)=h[g(x)]
step 2: h(8x-5)
step 3: h(8x-5)= (8x-5)²+6
step 4: (8x-5)(8x-5)+6
step 5: 16x² +15x +6
The 2 angles form a linear pair and angles that form a linear pair have a sum of 180 so
10x + 15 + 5x = 180
15 + 15x = 180
180 - 15 = 15x
165 = 15x
11 = x
If the length is 32 and the ratio is 3:4, you'd do 32 ÷ 4 = 8. The answer is 3 × 8, which is 24 inches. I hope this helps!
X=number of books that cost 0.60
y=number of books that cost 0.75
x+y=16
0.6x+0.75y=10.95
solve
multiply second equation by 10 for nicity
6x+7.5y=109.5
multiply first equesiotn by -6 and add to second
-6x-6y=-96
<u>6x+7.5y=109.5 +</u>
0x+1.5y=13.5
1.5y=13.5
divide both sides by 1.5
y=9
sub back
x+y=16
x+9=16
minus 6
x=7
seven 0.60 books and nine 0.75 books
