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2 years ago

Apply the distributive property to expand the expression. 14(−3n+32)

Mathematics

1 answer:

My name is Ann [436]2 years ago

3 0

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What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE

Nutka1998 [239]

Answer:

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),$ $\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

Step-by-step explanation:

Let points D, E and F have coordinates $(x_D,y_D),\ (x_E,y_E)$ and $(x_F,y_F).$

1. Midpoint M of segment DF has coordinates

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).$

2. Midpoint N of segment EF has coordinates

$\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.

6 0

2 years ago

A bacteria culture begins with 8 bacteria which triple in size every week. How many bacteria exist in the culture after 4 weeks?

Anika [276]

The answer should be 648

4 0

2 years ago

Read 2 more answers

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

I am joyous to assist you anytime.

8 0

3 years ago

YOU WILL GET 20 POINTSSS ANSWER FAST Find the surface area of the square pyramid.

Whitepunk [10]

Answer:

105IN^2

Step-by-step explanation:

surface area of a square pyramid formula: 2bs+b^2

where s=slant height

and

b=base

2(5)(8)+5^2=

80+25=106

105in^2

Hope this helps!

7 0

3 years ago

−a^3 b^5 is a polynomial or not

lozanna [386]

Answer:

Step-by-step explanation:

<h3>HOPE IT HELPS YOU</h3><h3>BTW GOOD DAY TO YOU</h3>

5 0

2 years ago