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tino4ka555 [31]
4 years ago
13

Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. (1 point) y = 4x − 11 y

= 4x + 11 y = 4x + 7 y = 4x – 7 y − 3 = 4(x + 1) y + 3 = 4(x − 1)
Mathematics
1 answer:
svetlana [45]4 years ago
7 0
To find the answer, we can use the equation y-y1=a(x-x1), since we already have a point that the line passes through and we know the slope of the line. So, we can plug in our known values into the equation, making it y+1=4(x+3) since the double negatives end up making our values positive. Then, we can continue solving it by distributing the 4, which makes our equation y+1=4x+12. Then, we can subtract 1 from both sides, making the answer y=4x+11.
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in the last election, 1,200 people in the precinct voted. the ratio of men to omen was 3 to 5. how many of the voters were women
AysviL [449]

3+5=8

1200 voters

1200/8 = 150

Female: 5 x 150 = 750 voters

Male: 3 x 150 = 450 voters

8 0
3 years ago
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is
Ede4ka [16]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)
Semmy [17]

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = \frac{168}{12}

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

5 0
3 years ago
What function equation is represented by the graph?
Ahat [919]

In the given graph, lets mark two points:

Let A = (0,-3) and B = (4,-2)

The slope of the line is given by:

m = \frac{(-2)-(-3)}{(4)-(0)}

m = \frac{-2+3}{4}

m = \frac{1}{4}

The equation of the line is given by:

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

(y-(-3))=(\frac{1}{4})(x-0)

4(y+3)=x

4y+12=x

4y=x-12

y= \frac{1}{4}x-3

Therefore, the function equation represented by the graph is: f(x)= \frac{1}{4}x-3

5 0
3 years ago
Estimate the solution to the system of equations. 7x−y=7<br><br> x+2y=6<br> ​
ElenaW [278]

Answer:

I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.

Step-by-step explanation:

7x-y=7

x+2y=6

14x-2y=14

x+2y=6

add both equations

15x=20

x=20/15

x=4/3

x+2y=6

4/3+2y=6

2y=6-4/3

2y=18/3 -4/3

2y=14/3

divide both sides by 2

y= 14/3 divided by 2

y=14/3(1/2)

y=14/6

2y=

3 0
3 years ago
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