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3 years ago

PLZ HELP ITS URGENTTT

Mathematics

1 answer:

fredd [130]3 years ago

8 0

Answer:

y=x+29/10 is the slope intercept form

Step-by-step explanation:

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If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.

fenix001 [56]

Given:

$h:k=2:5,x:y=3:4,2h+x:k+2y=1:2$

To find:

$h-x:k-y$

Solution:

We have, $h:k=2:5$ and $x:y=3:4$ .

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

$2h+x:k+2y=1:2$

It can be written as

$\dfrac{2h+x}{k+2y}=\dfrac{1}{2}$

$\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}$

$\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}$

$2(4a+3b)=1(5a+8b)$

On further simplification, we get

$8a+6b=5a+8b$

$8a-5a=8b-6b$

$3a=2b$

$a=\dfrac{2b}{3}$

Now,

$h-x:k-y=\dfrac{h-x}{k-y}$

$h-x:k-y=\dfrac{2-3b}{5a-4b}$

$h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}$

$h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}$

On further simplification, we get

$h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}$

$h-x:k-y=\dfrac{-5b}{-2b}$

$h-x:k-y=\dfrac{5}{2}$

$h-x:k-y=5:2$

Therefore, the ratio $h-x:k-y$ is $5:2$ .

8 0

3 years ago

It cost John $15.86 to buy 2.5 pounds<br> of ground beef. What was the cost per<br> pound?

Paha777 [63]

Answer:

$6.34

Step-by-step explanation:

15.86 / 2.5 = 6.34

$6.34

6 0

3 years ago

PLEASE HELP TIMED

Lerok [7]

Answer: C) (9x^4-x^3-x)/5

7 0

3 years ago

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th

Reptile [31]

Answer:

(a) (x-2)^2 +(y-2)^2 = 16

(b) r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

Circle centered at (h, k) with radius r:

(x -h)^2 +(y -k)^2 = r^2

The given circle is ...

(x -2)^2 +(y -2)^2 = 16

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

r = 2

6 0

3 years ago

Whats 2.638 rounded to the nearest hundredth?

OverLord2011 [107]

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

3 0

4 years ago