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2 years ago

Express the ratio below in its simplest form 3:6:6

Mathematics

1 answer:

matrenka [14]2 years ago

3 0

Answer:

1:2:2

Step-by-step explanation:

To simplify this ratio, you need to find a common factor to divide by. In this instance, that would be 3.

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

Express x^2y^2+x^2+y^2+1

Hitman42 [59]

Answer:

( y^2 +1) ( x^2+1)

Step-by-step explanation:

Step 1 ) Factor out x^2 from the expression

x^2 (y^2+1)+y^2+1

Step 2) Factor out y^2 from the expression

(y^2+1) (x^2+1)

Solution is ( y^2 +1) ( x^2+1)

5 0

2 years ago

I Need Help With This One

Arisa [49]

Answer:

x = -6 x= -3

Step-by-step explanation:

f(x) = x^2+9x+18

Set equal to 0 to find the zeros

0 = x^2+9x+18

Factor, what numbers multiply to 18 and add to 9

6*3 =18

6+3=9

0= (x+6) (x+3)

Using the zero product property

x+6 =0 x+3 =0

x = -6 x= -3

7 0

2 years ago

100 POINTS!!!! Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It

dangina [55]

Based on the docx you showed me, the equation for the parabola is $y = x^2 + 36$ and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).

If you use these two points to create a line we get the equation:

$y - 6 = \frac{34 - 6}{-2 - 5}(x - 5)$ (I just used point slope form)

This can be simplified to:

$y = \frac{40}{-7}x + \frac{242}{7}$

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept: $(0, \frac{242}{7})$ and the x-intercept: $(\frac{121}{20}, 0)$ .

So our table of value can be:

x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0

3 0

2 years ago

How do you convert 2000 mg to grams? 2000mg = ____g

Mice21 [21]

1 mg = 0.001 grams. therefore 2000 mg = 2 grams

3 0

3 years ago