2 years ago

What is 45 mi/h=__ ft/s

1 answer:

6 0

First multiply the miles into ft. this gives you 237600ft/hr then devide by the amount of seconds in an hour (3600). this gives you the answer 66ft/second.

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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7

Lapatulllka [165]

The first equation is $y-2x+1=0$

$y=2x-1$ (Equation 1)

The second equation is $4x^{2}+3y^{2}-2xy=7$ (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

$4x^{2}+3(2x-1)^{2}-2x(2x-1)=7$

$4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7$

by simplifying the given equation,

$12x^{2}-10x-4=0$

$6x^{2}-5x-2=0$

Using discriminant formula,

$D=b^{2}-4ac$

$D=25-4 \times 6 \times -2 = 73$

Now the formula for solution 'x' of quadratic equation is given by:

$x=\frac{-b+\sqrt{D}}{2a} and x=\frac{-b-\sqrt{D}}{2a}$

$x=\frac{5+\sqrt{73}}{12} and x=\frac{5-\sqrt{73}}{12}$

Hence, these are the required solutions.

8 0

3 years ago

The area of a rectangle is 48 square centimeters and the length of the rectangle is 8 centimeters longer than the width.

Luda [366]

I hope this helps you

8 0

3 years ago

All prisms are Platonic solids.<br> A. True<br> B. False

dem82 [27]

Answer: False.

Step-by-step explanation: A Platonic solid is a convex polyhedron that is a regular polygon.

5 0

2 years ago

Read 2 more answers

(-31/2)-(-41/4)=-7/2-(17/4)=

Andrew [12]

Just forget about the first half, and just do the second half. It’s way easier. Answer is -7.75

6 0

2 years ago

Prove sin^2 theta-sin^2 theta is sin tetha sin 3 theta<br><br>how to prove..pls help!! thanksss

Artemon [7]

Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.

or

using a^2 - b^2 =(a+b)(a-b)

= sin(2x+x)sin(2x-x)
= sin 3x sin x

3 0

2 years ago