Answer:
The answer to your question is:
x = -10; y = 8
Step-by-step explanation:
Solve equations by elimination method
2x + 3y = 4 (1)
x + 2y = 6 (2)
Multiply 2 by -2
2x + 3y = 4
-2x - 4y = -12
-y = -8
y = 8
Substitute y in (2)
x + 2(8) = 6
x = 6 - 16
x = -10
Answer:
There is no short answer.
Step-by-step explanation:
To find to intervals which f(x) increases or decreases, we first need to find it's derivative.
The function is increasing when it's value is > 0 and decreasing when it's value is < 0.
If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.
I hope this answer helps.
Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
Distance of Sun and Mercury = 58,000,000 km.In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cmIn scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring cms to Kms or vice-versa, so we can easily calculate then, here, we will go from cm to Km.2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values, 5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of a smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Hope this helps!
