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4 years ago

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Determine which equation is parallel to the line JK and which is perpendicular to like JK

2 answers:

sattari [20]4 years ago

3 0

Answer:

If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and $y = - \frac{1}{m}x + b$ will be perpendicular to that.

Step-by-step explanation:

Let us assume that the line JK has the equation in slope-intercept form as

y = mx + c ............. (1)

Therefore, the equation has slope = m

Now, any straight line having an equation with slope m will be parallel to line JK.

So, the equation of the straight line which is parallel to equation (1) will be

y = mx + c', where, c' is any real constant.

Now, let us assume that another straight line having equation

y = nx + a is perpendicular to the line JK i.e. equation (1).

Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.

So, mn = - 1

⇒ $n = - \frac{1}{m}$

Therefore, the equation of a straight line which is perpendicular to equation (1) will be $y = - \frac{1}{m}x + b$ where b is any real constant. (Answer)

nignag [31]4 years ago

3 0

Answer:

You havent showed us a picture of the graph so how are we going to help you

Step-by-step explanation:

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How to translate the verbal phrase Seven-eighths of r is added to 12 into an algebraic expression

satela [25.4K]

Answer:

'Seven-eighths of $r$ is added to 12' can be represented algebraically as:

$\frac{7}{8}r+12$

Step-by-step explanation:

Given:

Verbal phrase : 'Seven-eighths of $r$ is added to 12'

To write the verbal phrase into an algebraic expression.

Solution:

The verbal phrase 'Seven-eighths' means 7 parts out of 8 and tus can be represented as a fraction = $\frac{7}{8}$

'Seven-eighths of $r$ ' : The phrase represents the fractional part of variable $r$ .

Thus, we have : $\frac{7}{8}\times r=\frac{7}{8}r$

'Seven-eighths of $r$ is added to 12' can be represented algebraically as:

$\frac{7}{8}r+12$

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3 years ago

Find the Surface Area of the prism please

Sergeeva-Olga [200]

Answer:

<h2>1544 m³</h2>

Step-by-step explanation:

surface area = 2 × base + lateral area

base = (10×20)÷2 = 100

Lateral area = perimeter × height

= (20+14+14)×28

=1 344

Final answer :

surface area = 2 × base + lateral area

= 2 × 100 + 1344

= 200 + 1344

= 1544

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2 years ago

Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(0,2), H(4,2), J(3,0), and K(-1,0

zimovet [89]

Answer:

(1.5,1)

Step-by-step explanation:

The midpoint of G and H is at (2,2).

The midpoint if J and K is (1,0)

The midpoint of the two midpoints is (1.5,1)

You could also i.e. directly ask for the midpoint of H an K, OR, G and J, and you would get the same final result.

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Answer:

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Step-by-step explanation:

The area of a square is found by

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Take the square root of each side

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2 years ago

Read 2 more answers

1. Which equation is equivalent to the equation 6x + 9 = 12?

yanalaym [24]

Answer:

B

Step-by-step explanation:

if we divide both sides of 6x + 9 = 12 by 3

(6x + 9)/3 = 12/3

2x + 3 = 4 ---> which matches choice B

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3 years ago

Read 2 more answers