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3 years ago

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

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

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.

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Need help with math probelm give 5 star and brain thingy point

rewona [7]

Answer:

36 square units

Step-by-step explanation:

x = 6 (width)

y = 3 (base - b)

h = 4 (length and height - l and h)

Area of a rectangle: l*w
Area of a triangle: 1/2*b*h

For the triangles:

Area of a triangle: 1/2*b*h

A = 1/2 * 3 * 4

A = 1/2 * 12

A = 6

*Since there are two triangles, it would be 6 * 2 = 12

For the rectangle:

Area of a rectangle: l*w

A = 4 * 6

A = 24

Now, we add them together:

A = 12 + 24

A = 36 square units

Therefore, the area of the rhombus is 36 square units

Hope this helps!

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2 years ago

Mr dambek had $90 to spend at the bulls game he spent 31/45 on his ticket the. He spent 3/7 of his remaining money at the conces

slavikrds [6]

Answer:

He does not have enough money to buy the hat.

Step-by-step explanation:

First find out how much he spent on the ticket:

$90 \times {31 \over 45}=2 \times 31=62$

He spent $62 on the ticket, so he has $90 - $62 = $28 remaining. Now find out how much of that he spent at the concession stand:

$28 \times {3 \over 7}=4 \times 3=12$

He spent $12 at the concession stand, so he has $28 - $12 = $16 remaining. He does not have enough to buy the $18 hat.

6 0

3 years ago

Madison saves 40% of all that she earns for washing cars. So far she has saved $72 . How much has she earned in all?

UkoKoshka [18]

Answer:

40% = 72

divide both sides by 40 to find 1%

1% = 1.8

now multiply by 100 to find total amount earned

100% = 180

total earned $180

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3 years ago

Factorise x cube -2x square -5x plus 6

zepelin [54]

Answer: {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.

Write out possible factors of 6: {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root. Set up synthetic division as follows:

-2 / 1 -2 -5 6

-2 8 -6

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

1 -4 3 0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

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3 years ago

Teri scored 64 points in the first 8 games she played in. she scored the same number of points in each game. how many points did

Rufina [12.5K]

You can find this by doing: 64 points/ 8 games.
Therefore, she scored 8 points a game.

4 0

3 years ago

Read 2 more answers