If we say:
x = the smaller numbers we want to find
y = the larger number we want to find
Then, we can formulate two equations using the information given:
x + y = 68 [1]
y - 4x = 3 [2]
Now, we can solve simultaneously:
Rearrange [1] & [2] in terms of y:
y = 68 - x [1]
y = 4x + 3 [2]
Now equate them and solve for x:
68 - x = 4x + 3
5x + 3 = 68
5x = 65
x = 13
Sub x-value into either [1] or [2]:
y = 68 - (13)
y = 55
Answer:
x - 3/7
Step-by-step explanation:
(x-4)^2-19=y
you first add the three to the other side, then add 16 on both sides, make the left side x-4 squared, and lastly you subtract 19 from both sides.
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio

Hence The height of tree house is 70.71 feet
Recombinant frequency between T and A is 12%
<u>Explanation:</u>
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Two characters are considered - height and antennae
Traits of height - Tall and Dwarf
Traits of antennae - Antennae and No antennae
<u>Given:</u>
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Tall-antennae (46) and dwarf-no antennae (42) are the wild type.
Dwarf- antennae (7) and tall- no antennae (5) are the recombinants.
Total possibilities = 100
Recombinant frequency = 
Recombinant frequency = 
Recombinant frequency in percentage =
%
Therefore, recombinant frequency between T and A is 12%