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3 years ago

Write an equation that represents the line passing through the point -3, -1 with a slope of 4

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

$y= 4x+11$

Step-by-step explanation:

Equation of line in point slope form is

$y-y_1=m(x-x_1)$ -------(1)

Here

$m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)$

Substituting values in equation (1)

$y+1=4(x+3)\\ y= 4x+11$

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Help with this math question please

Debora [2.8K]

Part 1: getting the area of the entrance
The entrance has a trapezoid shape.
Area of trapezoid can be calculated using the following rule:
Area of trapezoid = average base * height
The aveage base = (b1+b2)/2 = (8+16)/2 = 12 ft
height of trapezoid = 4 ft
Therefore:
area of entrance = 12*4 = 48 ft^2

Part 2: getting the area of the house:
area of house = area of back porch + area of side deck + area of play room + area of entrance
i- getting the area of the back porch:
The back porch is a square with side length = 6 ft
Therefore:
area of back porch = 6*6 = 36 ft^2
ii- getting the area of side deck:
The side deck is a rectangle whose length is 14 ft and width is 3 ft
Therefore:
area of side deck = 14*3 = 42 ft^2
iii- getting the area of play room:
The play room is a rectangle whose length is 14 ft and width is 16 ft
Therefore:
area of play room = 14*16 = 224 ft^2
iv- area of entrance is calculated in part 1 = 48 ft^2
Based on the above:
area of house = 36 + 42 + 224 + 48 = 350 ft^2

hope this helps :)

5 0

3 years ago

A sample of 56 research cotton samples resulted in a sample average percentage elongation of 8.63 and a sample standard deviatio

ss7ja [257]

To solve for the confidence interval for the true average percentage elongation, we use the z statistic. The formula for confidence interval is given as:

Confidence interval = x ± z σ / sqrt (n)

where,

x = the sample mean = 8.63

σ = sample standard deviation = 0.79

n = number of samples = 56

From the standard distribution tables, the value of z at 95% confidence interval is:

z = 1.96

Therefore substituting the known values into the equation:

Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)

Confidence interval = 8.63 ± 0.207

Confidence interval = 8.42, 8.84

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3 years ago

A recent survey asked UF students if they had a job or not, and if they were underclassmen (Freshmen and Sophomores) or uppercla

vlada-n [284]

Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.

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3 years ago

A square has an area that is less than 100 m. What is a reasonable range for the graph of the

WITCHER [35]

1-9 I’m pretty sure but idk

7 0

3 years ago

Find f(x)=x^2-x^3,find f(-10)

Elanso [62]

Answer:

Value of f(-10) is 1100

Step-by-step explanation:

Given that f(x) = x² - x³

Here we need to find f(-10).

f(-10) = (-10)² - (-10)³

f(-10) = 100 - (-1000)

f(-10) = 100 + 1000

f(-10) = 1100

Value of f(-10) is 1100

3 0

2 years ago