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3 years ago

Write an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

y=2x-14

Step-by-step explanation:

Gradient as m(for 1st line m1 and m2 for 2nd line)

m1/m2=-1

m1=(-1)*(-2)=2

y-(-2)/x-6=2

y+2/x-6=2

y+2=2x-12

y=2x-14

You might be interested in

Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.

creativ13 [48]

The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.

Hope this helps

8 0

2 years ago

Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to put the chicken in between three people how much chick

AURORKA [14]

Answer:

Each person will get $\frac{7}{30}$ or approximately 0.23 pounds of chicken.

Step-by-step explanation:

This is a word problem involving fractions. Using key words and phrases from the problem, we can decide which operation we need to use to solve. Since Jamie is splitting the chicken equally between three people, she would need to divide the amount of chicken she has by 3:

$\frac{7}{10}$ ÷ $\frac{3}{1}$

Since we can't divide fractions, we need to use the 'keep-change-flip' rule to keep the first fraction, change the operation to multiplication and flip the second fraction:

$\frac{7}{10}*\frac{1}{3}=\frac{7}{30}$

We can convert the fraction into a decimal by dividing the numerator by the denominator: 7÷30≈0.23 pounds per person.

5 0

4 years ago

An angle measures 30° more than the measure of its supplementary angle. What is the measure of each angle?

yarga [219]

Hi there!
$\boxed{\angle A = 75^o, \angle B = 105^o}$

Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:

∠A + ∠B = 180°

We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.

∠A = x°

∠B = x° + 30°

The sum is equal to 180°, so:

x° + (x° + 30°) = 180°

Solve for x°.

2x° + 30° = 180°

2x° = 150°

x° = 75°

Thus, ∠A = 75°.

Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.

4 0

2 years ago

Solve for the value of k. (k+8) 400

pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

7k + 8 + 90 + 40 = 180
7k + 138 = 180
7k = 180 - 138
7k = 42
k = 42/7
k = 6

hence the value of k = 6

3 0

3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$