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Nadya [2.5K]
3 years ago
7

Which option correctly shows how this formula can be rearranged to isolate x^2?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We have:

\displaystyle m=\frac{x_1-x_2}{y_1-y_2}

And we want to isolate x₂.

So, let’s first remove the denominator by multiplying both sides by it:

\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)

The right side will cancel. This will leave:

\displaystyle m(y_1-y_2)=x_1-x_2

Now, we can subtract x₁ from both sides. So:

\displaystyle m(y_1-y_2)-x_1=-x_2

Finally, we will multiply both sides by -1. So:

\displaystyle x_2=-m(y_1-y_2)+x_1

Hence, our answer is A.

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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
Find the missing length triangle <br> a=4,b=?,c=11
Novay_Z [31]

Answer:

c Po ung ans :))))))))))))))))))

7 0
2 years ago
Read 2 more answers
Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.
sertanlavr [38]

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

↑

⏐

⏐

⏐

⏐

for  

a

<

0

shift is  

(

0

−

a

)

⏐

⏐

⏐

⏐

↓

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

3 0
3 years ago
Mrs. Smith is making cookies. Her recipe calls for 6/8 cup of white sugar and 2/4 cup of brown sugar. How much sugar will Mrs. S
wariber [46]

Answer:

10/8 or 1 and 2/8

Step-by-step explanation:

You can convert 2/4 into 4/8 then all you have to do from there is just add to get 10/8.

Hope I could help! :)

8 0
3 years ago
What is -4/3 times 9/5?
guajiro [1.7K]

Answer:

-12/5

Step-by-step explanation:

-4 * 9 = -36 (numerator)

3 * 5 = 15 (denominator)

Take 3 out of both to simplify.  

-36/3 = -12

15/3 = 5

Final Answer:

-12/5

7 0
3 years ago
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