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3 years ago

How many equal sections divide a directed line segment if it is to be partitioned with a 7:10 ratio?

Mathematics

1 answer:

Dafna11 [192]3 years ago

6 0

The midpoint formula is x1+x2 over 2 and y1+y2 over 2. When you use it to find the midpoint of (0,-8) and (-4,10), you get (-2,1).

Slope formula is y2-y1 over x2-x1, which will give you -6.

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IfA=(-2,-4) and B=(-8,4), what is the length of AB?

lisabon 2012 [21]

Answer:

<h2>10 units </h2>

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

$ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units$

Hope this helps..

Good luck on your assignment

3 0

3 years ago

Determine the quotient of 3 over 7 divided by 2 over 3 . 6 over 21 1 over 2 9 over 14 1 and 5 over 9

Naddika [18.5K]

um I dunno because I need points to ask a question sorry

8 1

3 years ago

What is the difference of the two polynomials?

Ganezh [65]

Answer:

a) 7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) – (2x^2 + 3x)

Distribute the minus sign

(9x^2 + 8x) – 2x^2 - 3x

Line them up vertically

(9x^2 + 8x)

– 2x^2 - 3x

-------------------

7x^2 +5x

5 0

3 years ago

Read 2 more answers

Susan has purchased a whole life policy with a death benefit of $200,000. Assuming that she dies in 10 years and the average inf

Anika [276]

Answer:

Answer is: $148,809.52

Step-by-step explanation:

Susan has purchased a whole life policy with a death benefit of $200,000.

Assuming that she dies in 10 years.

Rate = 3% or 0.03

Future value after 10 years = $(1+r)^{n}$ = $(1.03)^{10}$ = 1.344

Purchasing power of proceeds = $\frac{200000}{1.344}$ = $148,809.52

5 0

3 years ago

Simplify the expression

kow [346]

Answer:

Step-by-step explanation:

$\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6$

4 0

3 years ago