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fenix001 [56]
2 years ago
13

What is the equation of the line that passes through the point (5, 6) and has a slope of 2

Mathematics
1 answer:
Mrac [35]2 years ago
6 0

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

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A child building a tower with Blocks uses 15 for the bottom row. Each row has 2 fewer blocks than the previous row. What formula
xenn [34]

Answer:

B)blocks in 5th row=15+(5-1)(-2)

Step-by-step explanation:

We are given that

Number of block in bottom row=15

Each row has 2 fewer blocks than the previous row

We have to find the formula would you use to find the number of blocks in the 5th row.

Number of blocks in  second row=15-2=15+1(-2)

Number of blocks in third row=15-2-2=15+2(-2)

Number of blocks in 4th row=15-2-2-2=15+3(-2)

Number of blocks in 5th row=15-2-2-2-2=15+4(-2)

Therefore, number of block in 5th row

15+(5-1)(-2)

This is required formula to find the number of blocks in the 5th row

Hence, option B is true.

B)blocks in 5th row=15+(5-1)(-2)

4 0
3 years ago
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
slamgirl [31]
The answer is 8 because you use the order of operations. So it would be 16 divided by 4, then you would do 4+4 which is 8
4 0
3 years ago
Solve the inequality |2h-3| >1
mel-nik [20]

Answer:

\large\boxed{h>2\ \vee\ h

Step-by-step explanation:

|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h

5 0
3 years ago
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times
cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

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

                      # of total outcomes

So the probablity is 5/32.

8 0
3 years ago
How do I solve
Maslowich

Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\------------------------\\\\\left(16n^4\right)^{\frac{5}{4}}=16^\frac{5}{4}\left(n^4\right)^\frac{5}{4}=16^{1\frac{1}{4}}n^{4\cdot\frac{5}{4}}=16^{1+\frac{1}{4}}n^5=16^1\cdot16^\frac{1}{4}\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^\frac{5}{4}=32n^5}

4 0
3 years ago
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