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Novay_Z [31]
3 years ago
7

Write an equation in slope-intercept form of the line that passes through the given point and is

Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

y = 9x - 15

Step-by-step explanation:

The given y = 9x - 5 is already in slope-intercept form.  Any line parallel to this one has an equation that looks exactly the same except for the constant term.  Call the new constant term 'C.'

Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):

6 = 9(-1) + C, or

6 + 9 = C, or

C = 15

Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is

y = 9x - 15

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Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2
sergey [27]

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

\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond

<u>Point-slope form</u>:-

      \sf{y-y_1=m(x-x_1)}

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

\sf{y-1=2(x-0)}

So we conclude that Option B is correct.

<h3>Good luck.</h3>

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3 0
2 years ago
Please Identify the congruent triangles in the figure.
Tpy6a [65]

The missing steps are each right angles and \angle R \cong \angle O.

Solution:

Step 1: Given data:

\overline {P Q} \cong \overline{M N}

\overline{Q R} \cong \overline{N O}

\overline{P R} \cong \overline{M O}

Step 2: In the two polygons,

\angle Q =90^\circ and \angle N =90^\circ

\angle Q \cong \angle N (Each right angle)

Step 3: Given

\angle P \cong \angle M

Step 4: By third angle theorem,

If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

\angle R \cong \angle O

Step 5: By the definition of congruent polygons,

If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.

Hence \Delta P Q R \cong \Delta M N O.

Therefore the missing steps are each right angles and \angle R \cong \angle O.

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Definition of whole number
VMariaS [17]

Answer:a number without fractions; an integer.

Step-by-step explanation:

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3 years ago
The quotient of twice a number t and 12
Arisa [49]
(t + 12) ^ 2
(t + 12) (t + 12)
t ^ 2 + 12t + 12t + 144 144 24
t ^ 2 + 24t + 144 -------|--------
(t + 12) (t + 12) = 0 12,12 | 24

t = -12
5 0
3 years ago
Can someone please help
Elis [28]

Answer:

880 minutes

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cost = 0.05(per minute) + basic fee

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59 = 0.05x + 15

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6 0
3 years ago
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