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Bumek [7]
3 years ago
8

Use the distributive property to expand the following expression. Then combine the like terms.

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

6b + 3a - 39n

Step-by-step explanation:

Expanding using the distributive property :

-3(-2b + 5a + 7n - 10a + 6n +4a)

Multiply all values in the bracket by - 3

6b -15a - 21n + 30a - 18n - 12a

Collect like terms

6b - 15a + 30a - 12a - 21n - 18n

6b + 3a - 39n

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A- CE=CD <br> B- CE = CA <br> C- BF=DF <br> D- DF=EF<br><br> please help!!
Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that \overleftrightarrow{FG} and \overleftrightarrow{AB} are perpendicular.

The two statements if true that guarantee  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB} are;

  • \overline{CE} = \overline{CD}
  • \overline{DF} = \overline{EF}

Reasons:

The given diagram is the construction of the line \mathbf{\overleftrightarrow{FG}} perpendicular to line \mathbf{\overleftrightarrow{AB}}.

Required:

The two statements that guarantee that  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}.

Solution:

From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line \overleftrightarrow{AB}, therefore;

\overline{CE} = \mathbf{\overline{CD}} arcs drawn from the same radius.

\overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}, given.

Therefore;

\overline{DF} = \overline{EF}  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

7 0
3 years ago
Rewrite the following equation as a function of x.<br><br> 43 - 1/8y + 19 = 0
tamaranim1 [39]

Answer:

y = 496

Step-by-step explanation:

62 - 1/8y = 0

8 (62 - 1/8y ) = 8×0

496 - y = 0

496 = y

y = 496

5 0
3 years ago
A line with a slope of 2 passes through the point (6,4). What is its equation in
m_a_m_a [10]

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

7 0
2 years ago
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris'
stich3 [128]

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

5 0
3 years ago
Question 3 of 10
alexandr402 [8]
Answer a because...................
7 0
3 years ago
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