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3 years ago

A line with a slope of 2 passes through the points (0,4) and (-6,v). What is the value of v?

1 answer:

4 0

To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:

change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)

Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:

(v-4)/(-6) = 2

To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.

v-4 = -12

Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:

v = -8

Therefore, v =-8 is your answer.

Hope this helps!

You might be interested in

which pair of points forms line that does no intersect the line that passes through the points (5,7) and (7,7)?

Nuetrik [128]

Answer:

(8, -9), (11, -9)

Step-by-step explanation:

The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.

For a line to not intersect the line y = 7, it must be parallel to y = 7.

The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.

From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.

Answer: (8, -9), (11, -9)

5 0

3 years ago

Read 2 more answers

Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3

mafiozo [28]

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

4 0

3 years ago

If Y varies directly with X solve the following :

BARSIC [14]

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

y = kx

k = y/x

k = 10/-30 = -1/3

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

k = y/x

k = -19/-4.5

k = 38/9

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

k = y/x

k = -4.3 / 12.9

k = - 1/3

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

5 0

3 years ago

5 brothers want to share the cost of a birthday gift for their mom. The youngest brother is too small to get an allowance so the

liberstina [14]

Answer:

<em>Total cost=$73.60 </em>

Step-by-step explanation:

<u>Arithmetics To Solve Simple Problems </u>

Sometimes the use of the most basic operations can be handy to solve problems of a variety of complexities without the use of equations or algebra. We'll approach to the solution of this question by pure logic and basic operations.

If the gift was originally meant to be paid for all 5 brothers, each one would have paid one-fifth of the cost. But since the younger brother won't be paying anything, the cost will be divided among the other four brothers, each one of which will pay now one-fourth of the cost. But this new division is $3.68 more than the previous one. If we take the difference between both fractions, we get

$\displaystyle \frac{1}{4}-\frac{1}{5}=\frac{1}{20}$

That fraction is the portion of the money they are paying in excess, so the total cost should be twenty times that excess, i.e.

Total cost= 20*3.68=$73.60

Let's check. Each brother should have paid $73.60/5=$14,72. But the four brothers really paid $73.6/4=$18.40. The difference is cost is $18.40-$14,72=$3.68 as required

5 0

3 years ago

Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 282 more hits than Riley. How many hits did each p

pickupchik [31]

Pedro had 1482 hits and Riley had 1200 hits.

Step-by-step explanation:

Given,

Number of base hits = 2682

Let,

Number of Pedro's hits = x

Number of Riley's hits = y

According to given statement;

x+y=2682 Eqn 1

x = y+282 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+282)+y=2682\\y+282+y=2682\\2y=2682-282\\2y=2400$

Dividing both sides by 2

$\frac{2y}{2}=\frac{2400}{2}\\y=1200$

Putting y=1200 in Eqn 2

$x=1200+282\\x=1482$

Pedro had 1482 hits and Riley had 1200 hits.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago