7x+5y=-24 (1)
4x+y=42 (2)

multiply equation (2) by 5 to get
20x+5y=210 (3)

then calculate (3)-(2) which gives you
13x=234 hence x=18
then substitute for x in either equation to get y=-30

6 0

3 years ago

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Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3

Natalija [7]

Answer:

$y=\frac{1}{2} (x-2)-3$ or $y=\frac{1}{2} x-4$

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

Perpendicular slope of -2 is $\frac{1}{2}$

Write the equation in point-slope form ( $y=a(x-h)+k$ ):

$y=\frac{1}{2} (x-2)-3$

Convert to slope-intercept form if needed:

$y=\frac{1}{2} x-1-3$

$y=\frac{1}{2} x-4$

8 0

3 years ago

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1 find the area in square cm of a square whose side is

lara [203]

For question 1:

Part i)

2.6 x 2.6 = 6.76 cm squared

No unit conversions needed

Part ii)

1.2 dm = 1.2 / 1000000 = 0.0000012 cm

0.0000012 x 0.0000012 = 0.00000000000144 cm squared

Question 2:

16.5dm = 16.5/ 1000 = 0.0165 m

0.0165 x 0.0165 = 0.00027225 m squared

I hope this has helped

3 0

3 years ago

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Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$