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3 years ago

Distribute and evaluating (X + 6) (x - 3)

Mathematics

2 answers:

sesenic [268]3 years ago

7 0

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

IgorLugansk [536]3 years ago

7 0

Answer: $x^{2} +3x-18$

Step-by-step explanation:

First, let's take our given (x+6)(x-3)

Now distribute

$x^{2} -3x+6x-18\\combine\\x^{2} +3x-18$

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△ACD∼△GHD , m∠ADC=23∘ , and m∠C=31∘ . Two similar triangles. The first triangle has vertices DAC. Angle A is an obtuse angle. Th

iVinArrow [24]

Answer:

126°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...

... ∠G + ∠H + ∠D = 180°

... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G

... 180° -54° = ∠G = 126°

7 0

3 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

Type your answer in the box. b=2 y=6 o=4. b3 - y - o

mel-nik [20]

Answ

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In a survey of 100 people, 60 like farming, 65 like civil service. Draw a venn-diagram and find the number of people who like fa

MAXImum [283]

Answer:

Ur question is wrong..

Step-by-step explanation:

In a survey of 100 people, 60 like farming and 65 like civil service?

60+65=125..?

7 0

2 years ago

Hi guys can someone please help me with these questions please

Zinaida [17]

Hi There!

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

Question 2:

Obviously the right equation for this question is Point Slope Form.

Point Slope Form: y - y1 = m(x - x1)

y1 = -1

x1 = 3

m = 2

Question 2 Answer: y + 1 = 2(x - 3)

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

Question 3:

Again use point slope form.

Find Slope:

7 - 1 = 6

-2 - 1 = -3

6/-3 = -2

Question 3 Answer: y - 1 = -2(x - 1)

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

Hope This Helps :)

6 0

3 years ago