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VLD [36.1K]
2 years ago
7

Find the equation of the line that goes through the points (2, 2) and (6, 6).

Mathematics
2 answers:
atroni [7]2 years ago
7 0

Answer:

D

Step-by-step explanation:

y=6x+2

2=12+2

NO
y=-x

2=-2

NO

y=2x+6

2=4+10

NO

y=x

2=2

6=6

notka56 [123]2 years ago
3 0

Answer:

y=x

Step-by-step explanation:

We will use slope-intercept form:

y=mx+b

Where m=slope and b =y-intercept

To find the slope we use the slope formula:

\frac{y_2-y_1}{x_2-x_1}

We plug in the coordinates getting:

\frac{6-2}{6-2} =\frac{4}{4}  = 1

So we have a slope of 1:

y=(1)x+b

If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:

y =x

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Which are the solutions of x^2 = –11x + 4?
strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

x^2 + 11x - 4 = 0

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}

where x_{1,2} is a compact way to indicate both solutions x_1 and x_2, while a,b,c are the coefficients of the quadratic equation, i.e. we consider the polynomial ax^2+bx+c.

So, in your case, we have a=1,\ \ b=11,\ \ c=-4

Plug those values into the formula to get

x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}

So, the two solutions are

x_1 = \frac{-11+\sqrt{137}}{2}

x_2 = \frac{-11-\sqrt{137}}{2}

3 0
3 years ago
The angles of a triangle add up to 180 degrees.
Alex_Xolod [135]

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

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2 years ago
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3 years ago
Which equation models the problem below if c represents the number of babies whose eyes are closed? There are 12 babies in a pho
Pavel [41]

The correct answer is: 9 + c = 12

Further explanation:

Given

c = number of babies whose eyes are closed

So,

If the total number of babies are 12 then the sum of babies with eyes closed and eyes opened should be equal to 12.

As c is the number of babies with eyes closed and 9 is the number of babies with eyes opened then,

9+c = 12

The equation can be used to find the number of babies whose eyes are open

9+c-9 = 12 -9\\c = 3

Three babies have their eyes closed in the photograph.

Keywords: Linear equations, Word problems

Learn more about linear equations at:

  • brainly.com/question/537998
  • brainly.com/question/5563823

#LearnwithBrainly

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