MATHEMATICS COLLEGE

The slope of the line below is -2. Use the coordinates of the labeled point tofind a point-slope equation of the line.

Answers

Answer 1

Answer:

$y + 6 = -2(x - 4)$

Step-by-step explanation:

Given:

Slope (m) = -2

Point on the line = (4, -6)

Required:

Point-slope equation of the line

Solution:

Point-slope equation takes the following form:

$y - b = m(x - a)$ ,

Where,

m = slope of the line = -2

(a, b) = coordinates of the point on the line. = (4, -6)

Plug in the values into the slope-point equation

$y - (-6) = -2(x - 4)$

$y + 6 = -2(x - 4)$

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Find the area of the parallelogram below.5.5 ft
4 ft
/60
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared

Answers

The area of the parallelogram is given by A = 17.32 feet²

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A is

Let the height of the parallelogram be h

where from the trigonometric relation , we get

sin 60° = h / 4

On simplifying , we get

h = 4 ( √3/2 )

h = 2√3 feet

Now , the area of parallelogram = base x height

A = 2√3 ( 5 ) feet²

A = 10√3 feet²

A = 17.32 feet²

Hence , the parallelogram has an area of A = 17.32 feet²

To learn more about parallelogram click :

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Simplify the equation -9b+2b-4+2

Answers

Answer:

-7b-2

Step-by-step explanation:

add the B‘s together = -9b+2b= -7b

now add -4+2= -2

simplified equation= -7b-2

hope this helps!

Answer: -7b-2

Step-by-step explanation:

hope this helps ❤❤

THANK YOU.

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 155 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.

Answers

Answer:

Due to the higher z-score, he did better on the SAT.

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:

$Z = (X - \mu)/(\sigma)$

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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = (X - \mu)/(\sigma)$

$Z = (1070 - 950)/(155)$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = (X - \mu)/(\sigma)$

$Z = (25 - 22)/(4)$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

Look at the system of equations below.y = {x + 10
y = {x – 10
Which of these statements is correct?
A. The system has no solution.
B. The solution of the system is (-3,8).
C. The solution of the system is (6,-6).
D. The system has an infinite number of
tiang

Answers

Answer:

Step-by-step explanation:

The relationship between a relationship between his life is a stronger understanding and relationship with the revolution and his relationship between his relationship with the union of his life relationship and his life and his father relationship is a stronger understanding and understanding that his life relationship with the union and relationship is stronger understanding of understanding

Find the slope of (5,-5) and (-4,5)