All categories

3 years ago

Can someone please answer this???? ASAP

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

A. $y=-\dfrac{8}{7}x-\dfrac{18}{7}$

Step-by-step explanation:

Let $y=mx+b$ be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is $\frac{7}{8}$ Hence,

$\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}$

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

$2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}$

Therefore, the equation of the line is

$y=-\dfrac{8}{7}x-\dfrac{18}{7}$

You might be interested in

I really need help with this my deadline is very soon

Harman [31]

Answer:

$(3)\ y = -x$

$(5)\ y = -3x -2$

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

$m = -1$

$(x_1,y_1) =(4,-4)$

The equation in slope intercept form is:

$y = m(x - x_1) + y_1$

This gives:

$y = -1(x - 4) -4$

Expand

$y = -x + 4 -4$

$y = -x$

Solving (5):

$m = -3$

$(x_1,y_1) = (1,-5)$

The equation in slope intercept form is:

$y = m(x - x_1) + y_1$

This gives:

$y = -3(x - 1) - 5$

Expand

$y = -3x + 3 - 5$

$y = -3x -2$

8 0

2 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the

lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = $\sigma$ = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

$z=\frac{x-u}{\sigma}$

For z = -1.56, we get:

$-1.56=\frac{x-74.2}{9.6}\\\\ x = 59$

For z = -0.88, we get:

$-0.88=\frac{x-74.2}{9.6}\\\\ x = 66$

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0

3 years ago

Help me solve this question!

MakcuM [25]

Answer:

1st quartile is 136

The second quartile is also the median 142

The third quartile is 162

The interquartile range is the difference between the 3rd and first quartile or 26

Step-by-step explanation:

5 0

2 years ago

Please help me with this question!!

KonstantinChe [14]

Answer:

y=8(0.5)^x

Step-by-step explanation:

We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x

3 0

2 years ago

Which represents a measure of volume?<br> O 5 cm<br> O 5 square cm<br> 05 cm<br> 05 cm

Elena-2011 [213]

Answer:

a) 5 $cm^{3}$

Step-by-step explanation:

Bodies have three dimensions (width, height and depth). Measuring volume is calculating the number of cubic units that can fit inside.

When raising to 3, these dimensions are included and therefore 5 $cm^{3}$ is a measure of volume.

7 0

3 years ago

Read 2 more answers