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sergij07 [2.7K]
3 years ago
11

Which is the equation of the given line?

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0

Answer:

y = 1

Step-by-step explanation:

since its a horizantal line

if u take any 2 points and find the slope, for example if we take points (1, 1) and (4, 1) the slope will be 0/3 which is zero

y = 0x + b

so there is basically no x in this case

so y = b

now plug in a point from the line, (1, 1)

y = mx + b

y = 0x + b

1 = 0(1) + b

1 = 0 + b

1 = b

b = 1

final equation:

y = 0x + 1

<h2>y = 1</h2>
GrogVix [38]3 years ago
6 0

Answer:

y = 1

Step-by-step explanation:

The line is horizontal and goes through the y axis.

Hence the equation is y = 1 because the line stays on this point forever.

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Find the length of the missing side in the figure below. a = _______ cm.
WITCHER [35]

Answer:

\frac{2 \sqrt{177} }{5}

or

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

{7.1}^{2}  =  {a}^{2}  +  {4.7}^{2}

we need to rearrange this to find a²

{a}^{2}  =  {7.1}^{2}  -  {4.7}^{2}

a =  \sqrt{ \frac{708}{25} }

This can either be written as a fraction or decimal.

a =  \frac{2 \sqrt{177} }{5}

OR

a = 5.32

correct to 2 decimal places

5 0
1 year ago
Which is the value of b in the equation (y^-9)^b=y^45. A)-405
zimovet [89]
Divide 45 and 9 it was give you -5
8 0
3 years ago
Help please lol soon
Yuliya22 [10]

Answer:

d.

D: {-7, 0, 2, 6}

R: {-13, 0, 5, 13}

Step-by-step explanation:

Domain of a relation is the set of all input values (x-values) while the range is the set of all corresponding output values (y-values) in a given relation.

Given the relation represented by the table above,

Domain would be: {-7, 0, 2, 6}

Range: {-13, 0, 5, 13}

5 0
3 years ago
Given the function f(x)=2x-7. What is x when f(x)=17?
Eduardwww [97]

Answer:

x = 12

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 7

f(x) = 17

Step 2: Substitute

17 = 2x - 7

Step 3: Solve for <em>x</em>

<u>Add 7 on both sides:</u> 24 = 2x

<u>Divide both sides by 2:</u> 12 = x

Step 4: Check

f(12) = 2(12) - 7

f(12) = 24 - 7

f(12) = 17

4 0
3 years ago
Read 2 more answers
Logarithms:
bogdanovich [222]

Answer:

  • 2^45 or ≈ 3.5*10^13

Step-by-step explanation:

<u>Given equation</u>

  • f(t) = 2^(kt)
  • f - number of cells, t - number of months, k- coefficient

<u>We got 32 cells in the first month. It means:</u>

  • t = 1, f(1) = 32

<u>Using these numbers we can find the coefficient k:</u>

  • 32 = 2^(k*1)
  • 2^5 = 2^k
  • k = 5

<u>Then the equation becomes:</u>

  • f(t) = 2^(5t)

<u>Average time is 9 months, we can calculate the number of cells:</u>

  • f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13
5 0
3 years ago
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