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ohaa [14]
3 years ago
14

Find the equation of the line that passes through the point (-2,-7) that has a slope of 3

Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

The answer is

<h2>y = 3x -1</h2>

Step-by-step explanation:

To find an equation of a linewhen given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-7) and slope 3 is

The equation of the line is

y + 7 = 3(x + 2) \\ y + 7 = 3x + 6 \\ y = 3x + 6 - 7

We have the final answer as

<h3>y = 3x - 1</h3>

Hope this helps you

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When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc
loris [4]

Answer:

<h3>45mL hot cocoa is more chocolatey</h3>

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

7 0
3 years ago
What is the approximate scale factor dilating from the blue image to the red image? Explain how you figured this out.
Taya2010 [7]

Answer:

dilation has on a figure when the scale factor is greater than zero but less than one

Step-by-step explanation:


8 0
3 years ago
What is the mean of the data ?
julia-pushkina [17]

Answer:

maryland

Step-by-step explanation:

3 0
3 years ago
The following set of data represents letter grades on term papers in a rhetoric class: A,A,A,B,B,B,B,C,C,C,C,C,C,C,C,C,D,D,D,F.
Viktor [21]

Answer:

c. Mode

Step-by-step explanation:

Mean is the average obtained by adding all values and then dividing by the size of the values. Here, adding A and B etc is not clear.

Median is the middle value of a set of numeric values. To find a median, values should be sort-able from smallest to the largest. If there is no unique middle value, then the average of the middle values has to be taken. Here, average of the two different grades is not clear.

Mode is the value that occurs most often. Clearly C occurs most often.

Mid-range value is the mean of the difference between largest value and the smallest value. Here, difference between A and F is not clear.

Mean,median,Mid-range are applied to numeric values where mode is also suitable for categorical values.

Therefore, the most appropriate measure of central tendency for the data described is mode

5 0
3 years ago
Please help 8th grade math
wariber [46]

Answer:

n \geq  -\frac{-29}{28}

Step-by-step explanation:

-3(1 - 7n) \geq  -32 - 8n\\-3 + 21n \geq  -32 -8n\\

       +8n               +8n

-3 + 28n \geq  -32\\+3                      +3\\28n  \geq  -29\\/28              /28\\n \geq \frac{-29}{28}

6 0
3 years ago
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