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3 years ago

What are the coordinates of the point that is one half the distance between A(−3, −5) and B(2, 7)?

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

$(\frac{-1}{2},1)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

A (-3, -5)

B (2, 7)

Step 2: Find midpoint

Substitute: $(\frac{-3+2}{2},\frac{-5+7}{2})$
Add: $(\frac{-1}{2},\frac{2}{2})$
Divide: $(\frac{-1}{2},1)$

You might be interested in

How many geometrical prisons can be made with 18 cubes?

Anuta_ua [19.1K]

125 cubes can be made up with 18 cubes how? multiply 5×5×5 witch gets you 125.

hope that helps

3 0

3 years ago

A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i

mars1129 [50]

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

$l =24in$ --- length

$w = 15in$ --- width

$h =12in$ --- height

$V_1 = 900in^3$ --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

$b = l * w$

$b =24in * 15in$

$b =360in^2$

The height of the water that was removed is:

$H = \frac{V_1}{b}$ i.e. the volume of the water removed divided by the base area

$H = \frac{900in^3}{360in^2}$

$H = \frac{900in}{360}$

$H = 2.5in$

The absolute change in height is:

$\triangle H = |h - H|$

$\triangle H = |12in - 2.5in|$

$\triangle H = |9.5in|$

$\triangle H = 9.5in$

8 0

2 years ago

Dylan read his book for 2 2/3 hours and Faith read her's for 1 1/5.How much longer did did Dylan read then Faith?

Damm [24]

Answer:

1 7/15

Step-by-step explanation:

2-1=1

then you make 2/3 and 1/5 have the same denominator -

5*3=15

?/15 ?/15

multiply 2 by 5 which is 10, so 10/15

then multiply 1 by 3 which is 3/15

subtract 3/15 from 10/15 which is 7/15

4 0

3 years ago

For what value of "a" will the product shown below have a purely imaginary value? (Show work please)

MakcuM [25]

If you expand out the brackets you get this,

(4+5i)(a+2i) = 4a + (5a)i + 8i - 10

The -10 comes from 5i * 2i.
Squaring i becomes -1.

Let's group the real stuff together,
and imaginary separately,

(4a - 10) + (5a + 8)i

For this to be purely imaginary,
the real part needs to be zero.

Therefore 4a - 10 = 0

Solve for a.

5 0

3 years ago

What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find ba

Arlecino [84]

Answer:

(x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

(x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

Additional comment

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.

7 0

2 years ago