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3 years ago

If a−3b/a+b = 3/4 , what are the following ratios? a+b/a

Mathematics

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

16/15

Step-by-step explanation:

We are given the equation;

a−3b/a+b = 3/4

We are required to determine the ratio a+b/a

It will be easier to first determine the value of a/b

Using cross multiplication;

a−3b/a+b = 3/4 becomes,

4(a-3b) = 3(a+b)

4a - 12b = 3a + 3b

Combining the like terms;

4a - 3a = 3b + 12b

a = 15 b

Thus, a/b = 15/1

Taking a = 15 and b = 1

Then,

a+b/a = (15 + 1)/15

= 16/15

Therefore, the ratio a+b/a is 16/15

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Alexeev081 [22]

The square root of a circle would be your answer because 4.2-8

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2 years ago

COMPLETING THE SQUARE<br> X^2– 2x +

Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 , b = -2, c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1 this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0

3 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

What is the x-coordinate of point D? Write the coordinate as a decimal. On a coordinate plane, point D is 2.5 units to the right

kirill115 [55]

Answer:

2.5 right?

Warning: Answer may be wrong. I don`t know, it`s 11 A.M so please forgive me.

7 0

2 years ago

Read 2 more answers

On Monday, Gina ran 1 mile in 9.3 minutes. Her times for

Marta_Voda [28]

Answer:

In order, they would be:

-4.45 min, -1.8 min, -(1 + 2/3) min, -1.375 min

Step-by-step explanation:

Enjoy :)

3 0

2 years ago