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Dmitry_Shevchenko [17]
3 years ago
5

HELP ASAP. PLEASE EXPLAIN HOW.

Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

b=12

Step-by-step explanation:

Hi there!

We are given the linear equation y-6=-3/2(x-4), and we want to find the value of the y intercept, which is typically denoted as b

The y intercept is the point in which the line crosses the y axis, and so, the value of x at that point is 0

Therefore, we can substitute the value of x as 0 in this equation, and then solve for y

That would translate to:

y-6=-3/2(0-4)

Now solve via the order of operations. Starting with the parenthesis:

y-6=-3/2(-4)

Now multiply -4 by -3/2

y-6=6

Now add 6 to both sides

y=12

The value of y is 12, which is the point at which the line crosses the y axis; as a point, the value is (0, 12)

As stated above, the value of the y intercept is typically denoted as b, which is also the value of y. Therefore, b=12 is the location of the y intercept

Hope this helps!

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Given the points below, find XY. Round to<br> the nearest hundredth.<br> X(-8, 2) and Y(7,-4)
Tasya [4]

Answer: 16.16  

Step-by-step explanation:

xy in this situation, will be the distance between the two points.

(-8,2) (7,-4)    Find the distance between the points

To ind the distance, find the difference in the x and y values,square them and add them to find the obtained number square root.

2-(-4) =  6

-8 - 7 = -15

6^2 + (-15)^2 = d^2 where d is the distance

36 + 225 = d^2

 261 = d^2

d= \sqrt{261}

d= 16.1554  rounded to the nearest hundredth is 16.16

6 0
3 years ago
(-4,6); slope = -3/4
Ostrovityanka [42]

Answer:

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

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{3}{4} , thus

y = - \frac{3}{4} x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - \frac{3}{4} x + 3 ← equation of line

3 0
3 years ago
Given: 3(x-4)=2x+7 Prove: x=19 PROOF: StatementsReasons
Musya8 [376]
Hey !

3(x - 4) = 2x + 7 \\ \\ 3x - 12 = 2x + 7 \\ \\ 3x - 2x = 7 + 12 \\ \\ x = 19 \: \: \: \: \: \: \: Ans.

Hope it helps you :)
4 0
4 years ago
X-(9x-10)+11=12x+3(-2x+ 1/3)
morpeh [17]
X - (9x - 10) + 11 = 12x + 3(-2x + \frac{1}{3} ) equals x = \frac{10}{7} .

First, simplify brackets. / Your problem should look like: x - 9x + 10 + 11 = 12x + 3(-2x + \frac{1}{3} ). 
Second, simplify x - 9x + 10 + 11 to -8x + 10 + 11. / Your problem should look like: -8x + 10 + 11 = 12x + 3(-2x + \frac{1}{3} ).
Third, simplify -8x + 10 + 11 to -8x + 21. / Your problem should look like: -8x + 21 = 12x + 3(-2x + \frac{1}{3} ).
Fourth, expand. / Your problem should look like: -8x + 21 = 12x - 6x + 1.
Fifth, simplify 12x - 6x + 1 to 6x + 1./ Your problem should look like: -8x + 21 = 6x + 1.
Sixth, add 8x to both sides. / Your problem should look like: 21 = 6x + 1 + 8x.
Seventh, simplify 6x + 1 + 8x to 14x + 1. / Your problem should look like: 21 = 14x + 1.
Eighth, subtract 1 from both sides. / Your problem should look like: 21 - 1 = 14x.
Ninth, simplify 21 - 1 to 20. / Your problem should look like: 20 = 14x.
Tenth, divide both sides by 14. / Your problem should look like: \frac{20}{14} = x.
Eleventh, simplify \frac{20}{14} to \frac{ 10}{7} . / Your problem should look like: \frac{10}{7} = x.
Twelfth, switch sides. / Your problem should look like: x = \frac{10}{7} which is your answer.

8 0
3 years ago
Plzzzzz help show ur work to get brainiest im almost out of timeeeee
Naddika [18.5K]

Answer:

4n^6 + 3n^4 + 5n^2

Step-by-step explanation:

9-5 = 4

7 - (-10) = 3

9 - 4 = 5

7 0
3 years ago
Read 2 more answers
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