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Serjik [45]
3 years ago
7

Write an equation in point-slope form for the line that passes through

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Answer:

\huge{  \orange{y + 3 = 2(x + 7)}}

Step-by-step explanation:

To find an equation of a line in point slope form when 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 we have

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

Hope this helps you

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Write an equation for the following tile pattern.<br><br> Figure 2<br><br> Figure 3<br><br> Figure 4
oksano4ka [1.4K]

Answer:

The general equation following the pattern becomes is 7 + (n - 1)×2

Where, n = The figure number - 1

Step-by-step explanation:

The pattern in the question can be described as follows;

Figure 2 = (5 + 2) squares boxes = 7 squares boxes

Figure 3 = (5 + 2 + 2) squares boxes

Figure 4 = (5 + 2 + 2 + 2) squares boxes

Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;

7 + (n - 1)×2.

3 0
3 years ago
Connor have six employees and Bob 41 uniforms for them if you wanted to give them the same number of uniforms so he doesn't have
bagirrra123 [75]
It will be 6 to each person because 6x6 is 36 if u do 6x7 it will be 42 and it said 41 t-shirts not 42
6 0
2 years ago
Read 2 more answers
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

3 0
2 years ago
The Yasuda family bought a toy that cost t dollars and a game that cost g dollars. Both were on sale. Which of these methods cou
zmey [24]

The equation that the clerk can use to calculate their total bill is t + g.

<h3>How to illustrate the equation?</h3>

From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.

The equation to calculate their total bills will be:

= t + g

where,

t = cost of toy

g = cost of game.

In this case, the equation that the clerk can use to calculate their total bill is t + g .

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Which sentence explains the correct first step in the solution of this equation?<br><br> 4(x−3)=9
kodGreya [7K]

Answer:

You will do the Distributive Property first.

Step-by-step explanation:

You will do the Distributive Property first.

4(x - 3) = 9 <u>distribute the 4 into the x and -3.</u>

4x - 12 = 9 <u>add -12 to both sides.</u>

4x = 21 <u>divide 4 on both sides.</u>

x = 5.25 is your answer.

4 0
3 years ago
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