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inysia [295]

2 years ago

class="latex-formula">

Mathematics

1 answer:

tino4ka555 [31]2 years ago

8 0

Answer:

24ab-8ac

Step-by-step explanation:

Assuming you want to simplify it.

Original equation: 8a(3b+6c-7c)

Apply 8a to each variable in the paranthesis: (8a)(3b)+(8a)(6c)+(8a)(-7c)

After multiplication: 24ab+48ac-56ac

Combine like terms: 24ab-8ac

You might be interested in

Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

Find the first ten terms

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

2 years ago

Find the midpoint of the line segment joining the points (10,14) and (-7,7).

LekaFEV [45]

Answer:

(1.5, 10.5)

Step-by-step explanation:

$midpoint = \bigg( \frac{10 + ( - 7)}{2}, \: \: \frac{14 + 7}{2} \bigg) \\ \\ = \bigg( \frac{3}{2}, \: \: \frac{21}{2} \bigg) \\ \\ = = ( 1.5, \: \: 10.5 )$

3 0

2 years ago

A plane takes off and flies at an angle of 11° with the ground. When it reaches an elevation of 500 ft, what is the distance flo

drek231 [11]

Answer:

It had flown 2620 ft along the diagonal.

Step-by-step explanation:

When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:

sin(11°) = 500/x

x*sin(11) = 500

x = 500/[sin(11)] = 2620 ft

It had flown 2620 ft along the diagonal.