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3 years ago

Parallel and perpendicular line (4,7);y3x+6

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Answer:

Parallel Line: y = 3x - 5

Perpendicular Line: y = -1/3x + 25/3

Step-by-step explanation:

The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':

7 = (3)(4) + b or 7 = 12 + b or b = -5

So, our equation for a parallel line would be: y = 3x - 5.

For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':

7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3

So, our equation for a perpendicular line would be: y = -1/3x + 25/3

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Which statement about the reflection below is true?

Pepsi [2]

Answer:

The distance between C and P is equal to the distance between C’ and P

Step-by-step explanation:

From the description, the diagram is similar to the one in the attachment.

To answer this question, we that the corresponding vertices of a polygon after a reflection are all equidistant from the line of reflection.

From the diagram, the red dotted line joining C and C', meet on the line of reflectionat P.

This implies that |CP|=|C'P'|.

Therefore the correct answer is :

The distance between C and P is equal to the distance between C’ and P

3 0

3 years ago

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Is this correct or incorrect?

N76 [4]

Pretty sure that’s correct but please clean ur screen HAHAH

8 0

3 years ago

3x = 18 and y + 1 = 4. Find 2^x • 2^y.

Karolina [17]

Answer:

512

Step-by-step explanation:

$3x=18$

$\implies x=6$

$y+1=4$

$\implies y=3$

$2^x \cdot 2^y=2^6 \cdot 2^3=2^{(6+3)}=2^9=512$

7 0

2 years ago

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

masha68 [24]

Answer:

The Answer should be 9

140-180=40

360÷40=9

7 0

3 years ago

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One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

DerKrebs [107]

Data:

Humans (x) = 2 Legs
Horses (y) = 4 Legs

74 Heads
196 Legs

Solving:

Addition method

$\left \{ {{x + y =74} \atop {2x + 4y =196}} \right.$

Simplify by (-4) The first equation

$\left \{ {{x + y =74(-4)} \atop {2x + 4y =196}} \right.$
$\left \{ {{-4x - \diagup\!\!\!\!\!4y =-296} \atop {2x + \diagup\!\!\!\!\!4y =196}} \right.$
$\left \{ {{-4x =-296} \atop {2y =196}} \right.$
$-2x = -100.simplify(-1)$
$2x = 100$
$x = \frac{100}{2}$
$\boxed{x = 50}$

Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:

$x + y = 74$
$50+y = 74$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$y = 74-50$
$\boxed{y = 24}$

Answer:
Humans = 50
Horses = 24

7 0

3 years ago