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Tom [10]
3 years ago
8

Graph a line that contains the point (-7,-4)and has a slope of - 2/3

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Hi there! :)

Answer:

Given the information, we can write an equation in slope-intercept form

(y = mx + b) to graph the line:

Plug in the slope for 'm', the y-coordinate of the point given for 'y', and the

x-coordinate given for 'x':

-4 = -2/3(-7) + b

-4 = 14/3 + b

Solve for b:

-12/3 = 14/3 + b

-12/3 - 14/3 = b

-26/3 = b

Therefore, the equation of the line is y = -2/3x - 26/3 (Graphed below)

Some points on the line include:

(-7, -4)

(-4, -6)

(0, -26/3)

(2, -10)

(5, -12)

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Trigonometry. This is an Tangent question.​
spin [16.1K]

Answer:

28/21

Step-by-step explanation:

tan= opposite/adjacent

6 0
3 years ago
You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy. The bread costs $1 p
MrMuchimi

Answer:

  • 4 bread loafs, 1 pound of meat, 3 pounds of cheese

Step-by-step explanation:

Let loaf of bread be b, meat be m and cheese be c

<u>Based on the given, we have following equations:</u>

  • b + m + c = 8
  • c = 3m
  • b + 4m + 3c = 17

<u>Subtract the first equation from the third and substitute c with m:</u>

  • b + 4m + 3c - (b + m + c) = 17 - 8
  • 3m + 2c = 9
  • 3m + 2(3m) = 9
  • 9m = 9
  • m = 1

<u>Then</u>

  • c = 3*1 = 3
  • b = 8 - (1 + 3) = 4

7 0
3 years ago
Point S lies between points R and T on .
Marat540 [252]

Answer:

the value of  line ST is 6 centimeters long

Step-by-step explanation:

The attached image in conjunction with the question is shown in the file below.

We can see from the RT segment that the equation given can be expressed as:

\mathbf{2x+3x = 10}

so; if we solve for x ; we have ;

\mathbf{5x= 10}

divide both sides by 5 ; we have:

\mathbf{\dfrac{5x}{5}= \dfrac{10}{5}}

\mathbf{x=2}

However ; the value of ST is represent by the information:

\mathbf{ ST = 3x}

replcaing the value for x; we have :

\mathbf{ ST = 3*2}

\mathbf{ ST = 6}

Thus, the value of  line ST is 6 centimeters long

4 0
3 years ago
Helen rolls a dice and flips a coin.<br> Calculate the probability that she will get a 4 and a tail.
Rom4ik [11]

Answer:

1/12

Step-by-step explanation:

The probability that Helen will roll a 4 is 1/6 the probability that she will get tails is 1/2. Multiply those two events together to find the probability of P(A and B)

5 0
3 years ago
Read 2 more answers
How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution
Lorico [155]

Answer:

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

.18x+2-.1x=3

..08x=1

x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

7 0
3 years ago
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