The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
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Answer:
A-is farthest to the right on the number line
B-in the middle of the number line
C- farthest to the left on the number line
Step-by-explanation
If we have 3 random numbers we can conclude that a<c so we can say
A is farthest to the right
B in the middle
C: farthest to the left.
A) you must plug in 50 for variable F and solve for C
C=
(50-32)
C=
(18)
C= 10
50 degrees fahrenheit is equal to
10 degrees celsius B) you must solve the equation for F
C=
(F-32)
C/
=F-32
C/
+32=F
F= C/
+32
dividing by a fraction is the same as multiplying buy its reciprocal so it can also be written as
F=
C +32
now you just plug in 50 for the variable C in the new equation
F=
(50) +32
F= 90 + 32
F= 122
50 degrees celsius is equal to
122 degrees fahrenheit
hope this helped!
Answer:
change: $0.32
Step-by-step explanation:
The top left
You can know a perfect square trinomial:
i) if the coefficient of a² = 1.
ii) If you divide the middle number coefficient by 2 and you square it you get the last term.
Take for example the first option:
For all the options, the coefficient of a² = 1
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
So the only two options are: a² + 14a + 49 and a² + 26a + 169.
Other options do not pass this test.
