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4 years ago

Can someone help me find the slope intercept of this ? 2x-8y=16

Mathematics

1 answer:

BigorU [14]4 years ago

6 0

Answer:

The answere is y= 1/4x-2

Step-by-step explanation:

subtract 2x from both sides to get -8y=-2x+16

then divide -8 on all terms to get y=2/8x-2

then simplify the 2/8 to get y=1/4x-2

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2. Estimate the square root of the following

In-s [12.5K]

Answer:

1..9.9

2....23.9

3...106.9

4....21.8

7 0

3 years ago

Read 2 more answers

1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?

Svetlanka [38]

$a^{2}+ b^{2} = c^{2}$ that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
$25^{2}+ 60^{2}= x^{2}$
625+3600= $x^{2}$
4225= $x^{2}$
Therefore,
$\sqrt{4225}$ =x
65=x
The length of the hypotenuse is B.65 centimetres.

8 0

3 years ago

A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}$

Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

5 0

3 years ago

What is the inverse of the function f(x)=2x+1

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

To find the inverse function, the first step we do is change f(x) to Y. So now, we have

y=2x+1

Now that we have this function, we simply flip x and y. When we do that, we get

x=2y+1

Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.

x-1=2y+1-1

x-1=2y

(x-1)/2=2y/2

(x-1)/2=y

So, our inverse function is:

y=(x-1)/2, or y=x/2 - 1/2

Hope I helped!

7 0

4 years ago

What's <br><img src="https://tex.z-dn.net/?f=1024%20%5Cdiv%20256" id="TexFormula1" title="1024 \div 256" alt="1024 \div 256" ali

IrinaVladis [17]

Answer:

4 ...................

Step-by-step explanation:

hope the answer was helpful ......

7 0

3 years ago

Read 2 more answers