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2 years ago

What is the solution to the following equation? 5 + 3 (y - 4) = 4y +10

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

Answer:

5 +3(y-4) = 4y +10

5 + 3y -12= 4y +10

-7 +3y = 4y + 10

3y - 4y = 10 + 7

-y = 17

y= -17

nignag [31]2 years ago

4 0

The answer for y is 17

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4 years ago

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A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are

Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is $(x,y)$ .

To get it's coordinates, we use the section formula:

$(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})$

Where (m,n) is the (AB, BC)

Therefore we have

$(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})$

This gives:

$(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})$

$-1 =( \frac{x + 6}{2}$ and $2 = \frac{y + 3}{2})$

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

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4 years ago

How many natural numbers are between 45 and 58?

Eddi Din [679]

Answer:

Step-by-step explanation:

You could actually list the numbers between (but not including) 45 and 58:

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4 years ago

Read 2 more answers

Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

alina1380 [7]

Answer:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

We have been given two points on a line $(-6,-5)$ and $(-4,-4)$ . We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation $y=mx+b$ , where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(-6,-5)=(x_1,y_1)$ and point $(-4,-4)=(x_2,y_2)$ .

$m=\frac{-4-(-5)}{-4-(-6)}$

$m=\frac{-4+5}{-4+6}$

$m=\frac{1}{2}$

Now, we will substitute $m=\frac{1}{2}$ and coordinates of point $(-6,-5)$ in slope-intercept form of equation as:

$-5=\frac{1}{2}*(-6)+b$

$-5=-3+b$

$-5+3=-3+3+b$

$-2=b$

Upon substituting $m=\frac{1}{2}$ and $b=-2$ in slope-intercept form of equation, we will get our required equation as:

$y=\frac{1}{2}x-2$

Therefore, our required equation would be $y=\frac{1}{2}x-2$ .

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3 years ago