What is the equation of the line that passes through the point (-3,1) and has a
slope of 4/3? Show your work

Step-by-step explanation:

16x - 4y = 12

4x - y = 3

4x = 3+y

x= 3+y/4

for y = 1

x= 3+1/4 = 1

y = 2

x=3+2/4 = 5/4 = 1.25

y = 3

x = 3+3/4 = 6/4 = 1.5

Answer:

140° and 40°

Step-by-step explanation:

let x be one angle then the other is \(\frac{1}{2}\) x - 30

Since the angles are a linear pair, theis sum is 180° , then

x + \(\frac{1}{2}\) x - 30 = 180, that is

\(\frac{3}{2}\) x - 30 = 180 ( add 30 to both sides )

\(\frac{3}{2}\) x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and \(\frac{1}{2}\) x - 30 = \(\frac{1}{2}\) (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°

The area the tire rolled on is 3302.6 square inch

Firstly, we calculate for the circumference of the tire

= π r^2

where

The radius is 29/ 2 = 14.5

= π 14.5^2

= 660.52 in

Secondly we calculate the full length covered by the tire. For 5 full rotations we have that

= 5 * 660.52

= 3302.6 in

the area of the road is calculated using the formula

= 3302.6 * 1

= 3302.6 square inch

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Answer:

y = 1/12x + b

Step-by-step explanation:

So lines that are perpendicular have a negative reciprocal slope.

If line c has a slope of -12, then line d has a slope of 1/12

So y = 1/12x + b would be perpendicular to c, where b is a constant

Answer:

option 1

Step-by-step explanation:

y = -2  ;   x = -4

Therefore, y = (1/2)x

When x = 8,

\(y = \frac{1}{2}*8\\\\\y = 4\)

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer:.

Step-by-step explanation:.

Answer:

21 seconds

Step-by-step explanation:

First let's find out how long it would take for them to have the same score.

160 + 5s = 100 + 8s

160 = 100 + 3s

60 = 3s

20 = s

Since it takes 20 seconds to get the same score and Raul get's more points every second, it would take 21 seconds for Raul to take the lead.

Step-by-step explanation:

130 = 2x

2x = 130

x = 130/2

x = 65

Answer:            ☆

y=x+6

Step-by-step explanation:

1 is the slope

6 is the y-intercept

:)

Answer:

The standard form is just another way to write this equation, and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

The "Standard Form" of an equation is: (some expression) = 0 In other words, "= 0" is on the right, and everything else is on the left. Example: Put x 2 = 7 into Standard Form

Step-by-step explanation:

sorry look up example image for standard form

Answer for 1:

19

Answer for 2:

vertical

Answer for 3:

supplementary

Answer for 4:

96°

Answer for 5:

24°

Answer for 6:

120°

Explanation for All Questions:

I'm an Ace, 80% to Genius. Trust me

Answer:

14/24 ( simplified = 7/12)

Step-by-step explanation:

to find this we multiply the fractions 2/3 and 7/8

7/8 x 2/3 = 14/24

So Shannon ate 14/24 lb

You can simplify to = 7/12

Answer:

given

x=5

y= -2

expression :-> 7(2(5)-3(-2))

7(10+6)

7 * 16

112

therefore 112 is ur ans

If x equals 5 and y equals negative 2 evaluate following expressions 7(2x-3y)

112

Please look at the attached picture :)

The value of the area of the triangle ABC is 80 square units

The given dimensions of the triangle are

Base = 8 unts

Height = 20 units

Mathematically, the area of a triangle can be represented as

Area = 0.5 * Base * Height

When the given values are substituted into the above equation, we have

Area = 0.5 * 8 * 20

Evaluating the products, we have

Area = 80

Include the units

Area = 80 square units

So, the calculated area of the triangle is 80 square units

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To find three positive numbers whose sum is 12 and the sum of their squares is as small as possible, the three numbers would be 2, 4, and 6.

Let's assume the three positive numbers are x, y, and z. We want to minimize the sum of their squares, which can be represented as x^2 + y^2 + z^2. Given that the sum of the three numbers is 12, we have the equation x + y + z = 12.

To minimize the sum of squares, we can use the principle of minimizing the sum of squares of two numbers when their sum is fixed. According to this principle, the sum of squares is minimized when the two numbers are closest to each other.

Considering the sum of 12, the two numbers closest to each other would be 4 and 4, which gives a sum of squares of 4^2 + 4^2 = 32.

However, we need to find three numbers, not just two. To include the third number, we can set it to 12 - 4 - 4 = 4, so that the sum of the three numbers remains 12.

The three positive numbers, in this case, would be 2, 4, and 6, with a sum of squares equal to 2^2 + 4^2 + 6^2 = 56.

Therefore, the three positive numbers that satisfy the given conditions and minimize the sum of their squares are 2, 4, and 6.

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Answer:

2.34

Step-by-step explanation:

9.36÷4 =2.34

you divide on 4as showen

Answer:

Point B

Step-by-step explanation:

The square root of 38 is 6.164, and point B is closest to 6.164

Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

Answer:

p = 35

Step-by-step explanation:

To find the number of photos Harrison included of the rest of his classmates, we need to subtract the number of photos of his best friends from the total number of photos.

Therefore, the equation that can be used to find p, the number of photos he included of the rest of his classmates, is:

p = total number of photos - number of photos of best friends

In this case, the total number of photos is 42 and the number of photos of best friends is 7. So, the equation becomes:

p = 42 - 7

Simplifying, we get:

p = 35

Therefore, Harrison included 35 photos of the rest of his classmates in his photo album.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

children admission fee = $1.50

adults admission fee = $4.00

total money = $250

equation = ?

Step 02:

equation:

x = number of children

y = number of adults

1.50x + 4y = 250

Step 03:

x-intercept , y = 0

1.50x + 4y = 250

1.50x + 4(0) = 250

1.50x = 250

x = 250 / 1.50 = 166.67

Step 04:

y-intercept , x = 0

1.50x + 4y = 250

1.50 (0) + 4y = 250

4y = 250

y = 250 / 4 = 62.5

Step 05:

Graph

The answer is:

equation: 1.50x + 4y = 250

x-intercept: (166.67 , 0)

y-intercept: (0 , 62.5)

Answer:

$120.25

Step-by-step explanation:

How much Mario would earn in 13 hours = 13 x amount earned in an hour

Amount earned in an hour = total amount earned / total hours

83.25 / 9 = 9.25

111/ 12 = 9.25

9.25 x 13 = 120.25

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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17,600 citizens chose Fish or Snakes.

What is circle graph?

A circle graph, also known as a pie chart, is a type of data visualization used to represent data in a circular format. It is called a pie chart because the graph resembles a pie, which is divided into slices or sectors, where each sector represents a portion of the whole data set. The size of each slice is proportional to the corresponding value it represents in the data set. The circle graph is often used to show relative sizes of different categories or portions of a whole. It is a popular way to display data in business, statistics, and other fields.

According to the given information, the percentage of citizens who chose Fish or Snakes is 12% + 10% = 22%.

It is also given total number of citizens are 80,000.

To find the number of citizens who chose Fish or Snakes, we can first calculate 22% of 80,000,

\(22\% \: of \: 80000 \\ = \frac{22}{100} \times 80000 \\ = 0.22 \times 80,000 \\ = 17,600\)

Therefore, 17,600 citizens chose Fish or Snakes.

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Answer:

3

Number of books_reptile = 4

number of books_mammals = 12

Number of times more books about mammals than reptile = 12/4

= 3

Answer:

48 books does Amanda about mamals than the reptiles

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

STEP 2: Write the formula for calculating the discriminant

STEP 3: Calculate the discriminant of the given function

Discriminant = -7

STEP 4: Write the conditions for using the discriminant to determine the roots(zeros) of a quadratic function.

If the discriminant of the function is greater than zero, then the function has two real roots

If the discriminant of the function is less than zero, then the function has imaginary or complex roots

If the discriminant of the function is equal to zero, then the function has one real root

Since the discriminant is -7 which is less than zero, hence, the function has complex roots

Expected number of defectives is 3.

What do you mean by probability?

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The likelihood or chance of an event happening is known as probability.

Probability =  (the number of ways of achieving success)/( the total number of possible outcomes)

It is given that there are total 50 computers and out of which 3 are defective. So , here atmost 3 can be  defective out of 7.So , out of 7 , one can be defevtive , 2 can be defective and 3 can be defective

Therefore, expected number of defectives is 3.

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