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solmaris [256]
3 years ago
11

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope fo

rm of the equation for this line?
a y – 13 = 5(x – 2)
b y + 13 = 5(x + 2)
c y – 2 = 5(x – 13)
d y + 2 = 5(x + 13)
Mathematics
1 answer:
NISA [10]3 years ago
3 0
The slope is 5 and<span>.
For two lines to be parallel, both of their slopes must be the same. Therefore, our "new" line mus have the slope of 5.
.
Given that we know the slope (5) and a single point (-2, -13) we stuff that into the "point slope" equation:
y - y1 = m(x - x1)
y + 13 = 5(x + 2)</span>
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Can someone help me with this proof
maksim [4K]

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

8 0
2 years ago
The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is
yKpoI14uk [10]

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is (x-3)^2=-8(y-8)

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

(x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11

or

x-3=-8\\\Rightarrow x=-5

The distance between -5 and 11 is 11-(-5)=16

Middle point would be \dfrac{16}{2}=8 from -5.

-5+8=3

So, x=3

The maximum height will be

(3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8

The maximum height is 8 feet and the horizontal distance is 16 feet.

Learn more:

brainly.com/question/25227606

brainly.com/question/13103131

6 0
3 years ago
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Answer:15-A

Step-by-step explanation:

5 0
3 years ago
What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
photoshop1234 [79]

Answer:

value of n = 2

Step-by-step explanation:

\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}

We need to solve the above equation.

Find Least Common multiplier from 5n, 5 = 5n

Multiply both sides of the equation by 5n

\frac{4}{5n}*5n-\frac{1}{5}*5n=\frac{2}{5n}*5n\\Solving:\\4 -n = 2\\

Now finding the value of n.

Adding -4 on both sides

4 -n-4 = 2-4\\-n= -2

Multiplying both sides by -1

n = 2

The value of n is 2.

We can verify by putting value of n in the given question.

\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}\\n=2\\\frac{4}{5*2}-\frac{1}{5}=\frac{2}{5*2}\\\frac{4}{10}-\frac{1}{5}=\frac{2}{10}\\\frac{2}{5}-\frac{1}{5}=\frac{1}{5}\\\frac{2-1}{5}=\frac{1}{5}\\\frac{1}{5}=\frac{1}{5}

So, value of n = 2

5 0
3 years ago
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