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Fynjy0 [20]
3 years ago
11

What is the equation of a line that passes through (4,  3) and has a slope of 2? y=2x−11 y=2x−7 y=2x−1 y=2x−5

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Step-by-step explanation:

The coefficient of the x term repesents the slope of the graph.

So we have y = 2x +- ( ).

We have to find our number term, so let's substitute x = 4 and y = 3.

(3) = 2(4) +- ( )

3 = 8 +- ( )

To make this right, the number term must be -5.

3 = 8 - 5

So the equation is y = 2x - 5.

AleksAgata [21]3 years ago
8 0

Slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Since we know that the slope (m) is 2 we can start plugging that into the equation:

y = 2x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(4, 3)

3 = 2(4) + b

3 = 8 + b

-5 = b

^^^Plug this into the equation

y = 2x - 5  

Hope this helped!

~Just a girl in love with Shawn Mendes

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7.48/6.8
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4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!
adell [148]


The basic form of the equation is:
4p(x-h) = (y-k)2

(h,k) is the vertex


4(-0.5)(x-1.5) = (y-(-4))2
-2(x-1.5) = (y+4)2
-2(x-1.5) = y2 + 8y + 16
x - 1.5 = (-1/2)(y2 + 8y + 16)
x = (-1/2)y2 - 4y - 8 + 1.5
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4 0
3 years ago
There is a bag filled with 5 blue and 6 red marbles.
Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0
2 years ago
Please let me know ASAP
aksik [14]

Answer:

∠ BAC = 80°

Step-by-step explanation:

The sum of the interior angles of quadrilateral ACDB = 360°

DB and DC are tangents to the circle, thus

∠ DBA = ∠ ACD = 90° ( angle between tangent/ circle at point of contact )

Thus

∠ BAC + 90° + 90° + 100° = 360°

∠ BAC + 280° = 360° ( subtract 280° from both sides )

∠ BAC = 80°

4 0
3 years ago
Read 2 more answers
Is ab perpendicular to cd ? Explain.
Afina-wow [57]
We know that
if two lines are perpendicular
then
the slopes 
m1*m2=-1

step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3

step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4

step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
 AB is not perpendicular to CD
4 0
3 years ago
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