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AleksAgata [21]
3 years ago
6

A straight line L is shown on the grid.

Mathematics
2 answers:
dmitriy555 [2]3 years ago
4 0

Answer:

y = 2x + 1

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest !!!

Juli2301 [7.4K]3 years ago
3 0

Answer:

y = 2x + 1

Step-by-step explanation:

Use slope-intercept form ( y = mx + b ) where m is the slope ( rise over run ) and the y-intercept is 1 because where x = 0, y =1.  You can either use rise over run to solve the slope or plug in an x and y value on the line and solve algebriacally.

Rise Over Run:

Take two values on the line, for example, (0,1) and (1,3)  y is the rise and x is the run, so write each one with y over x in fraction form.

(0,1) = \frac{1}{0}       (1,3) = \frac{3}{1}             then subtract the second value from the first

\frac{3}{1}  -  \frac{1}{0}  = \frac{2}{1}            which simplifies to 2. So the slope is 2.

Algebra:

plug a coordinate on the line into the equation y =mx + 1. For example (1,3)

3 = m(1) + 1       anything multiplied by 1 is itself so we can cancel out the 1 in the equation

3 = m + 1          subtract 1 from both sides

-1        -1

2 = m                each method shows the slope is 2 so now we can put it together into the answer, y = 2x + 1

You might be interested in
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
3 years ago
The difference of twice a number and 6 is less than - 18.
oee [108]

Answer:

2x-6<-18

Step-by-step explanation:

4 0
3 years ago
How does a reflection across the y-axis change the coordinates of a shape?
Dmitriy789 [7]

Answer:

in (x,y), it becomes (-x,y)

Step-by-step explanation:

8 0
3 years ago
12
Anna [14]

5 x 3²⁴  bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴  means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴  bacteria will there be after one day.

To know more about exponents , visit:

brainly.com/question/13669161

#SPJ1

8 0
1 year ago
The curved part of this figure is a semicircle.
Nitella [24]
Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

d = \sqrt{3^2 + 8^2}

d \approx 8.544

The radius is half the diameter.

r = \dfrac{d}{2} = \dfrac{8.544}{2} = 4.272

The total area is the area of the triangle plus the area of the semicircle.

A = \dfrac{bh}{2} + \dfrac{\pi r^2}{2}

A = \dfrac{3 \times 8}{2} + \dfrac{\pi \times 4.272^2}{2}

A = 12 + 9.125 \pi units^2
3 0
3 years ago
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