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Lelechka [254]
2 years ago
6

Write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1) ​

Mathematics
2 answers:
nevsk [136]2 years ago
7 0

Answer:

-2x+y=-3

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation 2y+x=4 has a slope of -\frac{1}{2} (y=-\frac{1}{2}x+2), any line perpendicular to it will have a slope of -\frac{1}{-\frac{1}{2}}=2.

Therefore, we have the line:

y=2x+b where b is the y-intercept.

We can plug in the point it passes through to find the final equation:

1=2(2)+b,\\b=1-4,\\b=-3.

Therefore, the equation of the line perpendicular to  2y+x=4 that passes through the point (2, 1) is:

y=2x-3 (slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}.

Degger [83]2 years ago
6 0

Answer:

Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias

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3.<br>Find two rational numbers between<br>and 3/4 and 5/9​
Sholpan [36]

Answer:

6/9,5/8

Step-by-step explanation:

Those were just examples, they can be literally any number between 5/9 and 3/4.

3 0
3 years ago
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You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500
SVEN [57.7K]

Answer:

5 years

Step-by-step explanation:

use the I = Prt simple interest formula

8 0
2 years ago
Given the similarity statement<br> AJKL ANOP, what's the<br> corresponding side of ON ?
levacccp [35]

Answer:

ON = KJ

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

We are looking for ON = KJ

5 0
3 years ago
Read 2 more answers
Write the equation of the line passing through the points (-4,-1) and (2,8)
klio [65]
<h3><u>Explanation</u><u>:</u></h3>
  • Calculate the slope with two given coordinate points by using rise over run.

m =  \frac{y_2 - y_1}{x_2 - x_1}

Let these points

\begin{cases}(x_1, y_1) = ( - 4,  - 1) \\ (x_2, y_2) = ( 2,  8) \end{cases}

m =  \frac{8 - ( - 1)}{2 - ( - 4)}  \\ m =  \frac{8 + 1}{2 + 4}  \Longrightarrow \frac{9}{6}  \Longrightarrow \frac{3}{2}  \\ m =  \frac{3}{2}

  • Slope-Intercept

y = mx + b \\ m = slope \\ b = y - intercept

Substitute the value of m in the equation.

y =  \frac{3}{2} x + b

  • Substitute any coordinate points that are given or part of the graph in the equation.

(x_, y) = ( - 4,  - 1)

- 1 =  \frac{3}{2} ( - 4) + b

  • Solve the equation for b-term.

- 1 =  \frac{3}{ \cancel{2}} ( \cancel{ - 4})   + b\\  - 1 = 3( - 2) + b \\  - 1 =  - 6 + b \\  - 1 + 6 = b \\ 5 = b

  • Rewrite the equation by substituting the value of b in the equation.

y =  \frac{3}{2} x + 5

<h3><u>Answer</u></h3>

\large \boxed{y =  \frac{3}{2} x + 5}

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7 0
3 years ago
Find the surface area of the rectangular prism.<br> 2 cm <br> 6 cm<br> 3 cm <br> 3 cm
Nookie1986 [14]

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

7 0
2 years ago
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