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2 years ago

Write the point-slope equation of the line that goes through (5, 7) with a slope of -13.

1 answer:

3 0

Slope m = -13.

point = (5, 7) = (x₁ , y₁) = (5, 7)

y - y₁ = m(x - x₁)

<span>y - 7 = -13(x - 5) Point-slope equation</span>

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7045 ÷ 15 is what? i can't do it

Kazeer [188]

Answer:

As a decimal, 469.666667. As a remainder, 269 r10. As a fraction,

469 with 666667 over 1000000

Step-by-step explanation:

Use a calculator and mental mat, I'm not great at explaining things.

Hope I could help though!

7 0

3 years ago

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Tom has three times as many pencils as pens but has a total of 100 writing utensils. How many pencils does Tom have? How many pe

Genrish500 [490]

Answer:

There are 75 pencils and 25 pens.

Step-by-step explanation:

If Tom has three times as many pencils than pens then,

Pencils = 3(Pens)

If there are a total of 100 writing utensils then,

Pencils + Pens = 100

Substitute the word "pencils" in this equation to 3(Pens),

3(Pens) + Pens = 100

Now remember there is almost a 'hidden' one beside the word "Pens" so,

3Pens + 1Pens = 100

Add the two together,

4Pens = 100

Divide,

Pens = 25

Substitute 25 into the first equation,

Pencils = 3(25)

Pencils = 75

Thus, there are 75 pencils and 25 pens.

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3 years ago

Which of the following do not have precise definitions in geometry. Select the two correct answers

guapka [62]

Answer:

2 and 5

Point and line.

Step-by-step explanation:

In geometry, there are many terms and jargons Mathematicians make use of.

Angle is one of the term used in geometry which depicts any form of inclination.

Segment is also use to analyze and to solve many questions.

Lines are used to join one segment or the other.

Point and ray are also used but are majorly used in optics

Asking that Which of the following do not have precise definitions in geometry.

The best answer are point and line.

Because there is no specific definition for the two variables.

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2 years ago

Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and

Delvig [45]

hi i know i’m late but to help out any future people, the answer is

Row One: Statement: 3/2=slope Reason: Definition of Slope

Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B

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2 years ago

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Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0

2 years ago