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3 years ago

Urgent: What is an equation of the line perpendicular to y=-x-2 and through (-2,4)?

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

Point slope form- y-4=(x+2)
Slope intercept- y=x+6

sasho [114]3 years ago

6 0

Perpendicular line means the gradient will be negative reciprocal. The gradient of the line that is given is -1.

Therefore the gradient of the perpendicular line is -1 / -1 = 1

Now we know the equation is y=x+c

We want to find out what c is.

To do this, we substitute in the coordinates given:

4 = 1(-2) + c

4 = -2 + c

C= 6

Therefore the perpendicular line equation is:

y = x + 6

I hope this has helped you today,

Any questions please ask me in the comments below.

Have a great day!

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Square root of complex number -14?

Wittaler [7]

Answer:

square root(-14) =

3.74165739

Step-by-step explanation:

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3 years ago

Last month, Belinda worked 160 hours at a rate of $10.00 per hour. If her employer retains 9% of her gross salary, is $1,500 a r

sleet_krkn [62]

We have been given that last month, Belinda worked 160 hours at a rate of $10.00 per hour.

Let us find amount earned by Belinda last month as:

$\text{Amount earned in 160 hours}=\$10\times 160$

$\text{Amount earned in 160 hours}=\$1600$

We are also told that Belinda's employer retains 9% of her gross salary. This means that Belinda's net income will be 91% of $1600. $(100\%-9\%=91\%)$ .

$\text{Belinda's net income would be}=\$1600 \times \frac{91}{100}$

$\text{Belinda's net income would be}=\$16\times 91$

$\text{Belinda's net income would be}=\$1456$

Upon rounding $1456 to nearest hundred, we will get:

$\text{Belinda's net income would be}\approx \$1500$

Therefore, $1500 is a reasonable estimate of her net salary.

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4 years ago

How can you prove that a conjecture is false? :)

meriva

Answer:

you have to find only one example in which the conjecture is not true.

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3 years ago

Read 2 more answers

Please help me find the zero's!

antiseptic1488 [7]

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A baseball team has 15 field players and 10 pitchers. Each field player can take any of the 8 non-pitching positions. What is th

leonid [27]

Answer:

If order matters: 2,594,592,000 ways.

If order does not matter: 64,350 ways

Step-by-step explanation:

Assuming that the order matters when picking the non-pitching positions (since they are different positions), the number of possible different starting lineups is given by the permutation of picking 8 players out of 15, multiplied by 10 (pick one out of 10 pitchers):

$n =10*\frac{15!}{(15-8)!}\\ n=10*15*14*13*12*11*10*9*8\\n=2,594,592,000$

Now if the order of the field players is not important, the number of possible starting lineups is given by the combination of picking 8 players out 15, multiplied by 10:

$n = n =10*\frac{15!}{(15-8)!8!}\\ n=\frac{10*15*14*13*12*11*10*9*8}{8*7*6*5*4*3*2} \\n=64,350$

Therefore, the number of ways to pick the starting lineup is:

If order matters: 2,594,592,000 ways.

If order does not matter: 64,350 ways

7 0

4 years ago