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3 years ago

If B is a point AC and AB:BC = 1:2, what are the coordinates of B?

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

B(x, y) = (-2, -2)

Step-by-step explanation:

Given: AB: AC (m₁: m₂) = 1 : 2, A (x₁, y₁) = (-5, 2) and B(x₂, y₂) = (4, -10)

To find: Coordinates of B (x, y)

Using section formula:

Therefore Coordinates of B (x, y) is (-2, -2).

Step-by-step explanation:

You might be interested in

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

4 years ago

The Excel file Store and Regional Sales Database provides sales data for computers and peripherals showing the store identificat

zhannawk [14.2K]

Answer:

Total sales revenue use excel function : ( SUMIF. =sumif(range, criteria, [sum_range] )

For each of the stores: Use excel function: For Store 1: =sumif(B4:B99,1,I4:I99) then repeat same for Store 2 to store 8

Step-by-step explanation:

To modify the spreadsheet to calculate the total sales revenue we will add a column " sales revenue "

multiply values of column : ( unit sold * unit price ) to get Total sales revenue. then use excel function : ( SUMIF. =sumif(range, criteria, [sum_range] ) to find Total sales revenue

calculate the total revenue for each of the 8 stores using a pivot table using "store identification number" in row and " sales revenue " in values field

To get the sales revenue ; replace " store identification value" with sales region " column

8 0

3 years ago

Harold bought 20 toys for his nieces and nephews. The least expensive toy cost $6.19, and the most expensive toy cost $9.81. Whi

nikklg [1K]

Answer:

160 dollars

Step-by-step explanation:

So you would add 6.19 and 9.81 together. Then divide it by 2. You would get 8. Then multiply it by 20 and you would get 160 dollars

8 0

3 years ago

Using the image above, if the density of the LEGO piece is 0.85 g/cm^3, what COULD be a possible measurement for the density of

grin007 [14]

The Lego is submerged under the oil and therefore, is more dense than the oil

The possible density of the oil is the option;

0.79 g/cm³

Reason:

Given:

The density of Lego = 0.85 g/cm³

Density of oil = Required

Solution:

The density of an object is the mass per unit volume it occupies

$Density = \dfrac{Mass}{Volume}$

Increase in density increases the mass a unit volume occupies, therefore, a

more dense object is heavier than a less dense object such that the less

dense object will float on a dense object

The oil is floating on the Lego, therefore, the Lego is more dense than the

oil, and we have;

Density of Lego > Density of oil

The density of Lego = 0.85 g/cm³

Therefore;

0.85 g/cm³ > Density of oil

From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³

Therefore, the possible density of the oil is 0.79 g/cm³

Learn more here:

brainly.com/question/12864420

6 0

2 years ago

Which equation is equivalent to 2x+4a=10 A. X= 5/4a B.5+2a C. X=10-4a D. X=5-2a

kifflom [539]

Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X

5 0

3 years ago

Read 2 more answers