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3 years ago

Convert 4x-2y=6 into slope intercept form

Mathematics

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer:

y=2x-3

Step-by-step explanation:

first, you have to get the y by itself (isolate the y). you do this by subtracting 4x from both sides.

4x-2y=6

-2y=-4x+6

next, you have to divide both side by -2 to isolate the y further and get this into slope-intercept form:

-2y=-4x+6

y=2x-3

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PLEASEEE HELP MEEEE NO LINKSSS

Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

3 years ago

What is the value of b?

labwork [276]

The value of b is 61°.

you solve by doing this:
add up the two given angles, 58° and 61° to get 119°. then you subtract from 180° to get 61.

4 0

3 years ago

Read 2 more answers

Solve the following equations.

miv72 [106K]

Answer:

Step-by-step explanation:

Use math. Way without the dot

7 0

3 years ago

Use completing the square to solve for x in the equation (x minus 12) (x + 4) = 9. x = –1 or 15 x = 1 or 7 x = 4 plus-or-minus S

Scrat [10]

Answer:

x = 4 ± $\sqrt{73}$

Step-by-step explanation:

Given

(x - 12)(x + 4) = 9 ← expand the left side using FOIL

x² - 8x - 48 = 9 ( ad 48 to both sides )

x² - 8x = 57

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 57 + 16

(x - 4)² = 73 ( take the square root of both sides )

x - 4 = ± $\sqrt{73}$ ( add 4 to both sides )

x = 4 ± $\sqrt{73}$

4 0

3 years ago

Read 2 more answers

The price of a pedicure decreases by 4.2% from £36 on promotion.

maria [59]

A) 95.8 % of £36 will be the new price

B) The answer to part A as a decimal is £34.488

C) The new price is £34.488

<h3>Solution:</h3>

Given that the price of a pedicure decreases by 4.2% from £36 on promotion

A) What percentage of £36 will the new price be ?

Given that £36 is decreased by 4.2 %

New price = 36 – 4.2% of 36

$\begin{array}{l}{\text { New price }=36-\frac{4.2}{100} \times 36} \\\\ {\text { New price }=36-1.512} \\\\ {\text { New price }=34.488}\end{array}$

Now we have to find what percentage of £36 will the new price be

x % of 36 = 34.488

$\frac{x}{100} \times 36 = 34.488\\\\x = \frac{34.488 \times 100}{36} = 95.8 \%$

B) Write your answer to part a as a decimal.

Now, we have to find the new price in decimal form.

$\begin{array}{l}{95.8 \% \times 36 \rightarrow \frac{95.8}{100} \times 36} \\\\ {\rightarrow 0.958 \times 36=34.488}\end{array}$

C) Work out the new price.

As we calculated, the new price is £34.488

6 0

3 years ago