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3 years ago

Write the equation for 5x + 2y = 3 in slope-intercept form.

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

Answer:

B. y = -5/2x +3/2

Step-by-step explanation:

5x + 2y = 3

We want to get this in the form

y = mx +b where m is the slope and b is the y intercept

Subtract 5x from each side

5x -5x+ 2y =-5x+ 3

2y = -5x+3

Divide by 2

2y/2 = -5x/2 +3/2

y = -5/2 x +3/2

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-3x + 5x +-3= 4x + 5x

Bingel [31]

Answer: -3/7

Step-by-step explanation:

-3x + 5x +-3= 4x + 5x

7x=-3

x=-3/7

8 0

3 years ago

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The rectangle below is dilated by a scale factor off. Find the perimeter and area of

Sindrei [870]

Answer:

Step-by-step explanation:

See attached image.

8 0

2 years ago

PLEASE HELP ASAP!!!!<br> Help soon please

meriva

Answer:

ok down below is the answer

Step-by-step explanation:

5+5+5+5+5+5+5 is 5x7

5x5x5x5x5x5x5 is 5 with a little 7

7x7x7x7x7 is 7 with a little 5

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3 0

2 years ago

What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)

Svetlanka [38]

Answer:

$\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}$

$\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)$

$x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)$

4 0

3 years ago

If x =4 calculate the value of 2x squared - 5

Vlad1618 [11]

<span>2x squared - 5
= 2(x)^2 - 5
= 2(4)^2 - 5
= 2(16) - 5
= 32 - 5
= 27</span>

3 0

3 years ago