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nalin [4]
3 years ago
8

HELP Please thanks (;

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0
To answer this you must know the rule for the slopes of perpendicular lines. the rule is that if 2 lines are perpendicular to each other, then their slopes are opposite reciprocal.

the word opposite means that if the slope of one is positive, then the other is negative. And vice versa.

the word reciprocal means that you divide 1 by whatever the slope is. So the reciprocal of x is 1/x.

so let's say we have a slope of -2 and what to find a line perpendicular. We need to find the opposite reciprocal. the opposite of -2 is 2. And the reciprocal of 2 is 1/2. So perpendicular line would have slope of 1/2

now to answer yours.

We know that y = mx + b, where m = slope and b = y intercept.

so:
y - 3 = 4 (x + 2)
y = 4x + 11

so m = 4. the slope is 4.

the opposite of 4 is - 4 and the reciprocal of - 4 is - 1/4. So that is out new slope of perpendicular line.

We know that given a point we can use:
(y - y1) = m (x - x1), where (x1, y1) is the given point

We are given point (- 5, 7) and we know m = - 1/4. so:

y - (7) = - 1/4(x - (- 5))
y - 7 = - 1/4(x + 5)
y - 7 =- 1/4x - 5/4
y = - 1/4x + 23/4

this should be equAtion. We can check by seeing if slopes are opposite reciprocal and by plugging in point.

- 1/4 is opposite reciprocal of 4.

plug in point
7 = - 1/4 (- 5) + 23/4
7 = 5/4 + 23/4
7 = 7

this is correct
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Please help! Thank you!
Schach [20]

Answer:

\huge \boxed{ \boxed{ \sf \: y = x + 15}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know:</h3>
  • linear equation
  • linear equation word problems
  • PEMDAS
<h3>tips and formulas:</h3>
  • linear equation:y=mx+b
<h3>let's solve:</h3>

all we need to care about the middle condition which is

<h3>the new test score is 15 points more than the original score</h3>

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

<h2>y=x+15</h2>

8 0
3 years ago
(x + 2)(x2 + 5x + + 1)
butalik [34]

Answer:

{x}^{3}   + 7 {x}^{2}  + 11x + 2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

6 0
3 years ago
A function, F(x), is shown below.
Maksim231197 [3]

Answer:

  range of f(x) = [-4, -2) ∪ [2, 8)

  a+b+c+d = -4

Step-by-step explanation:

The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.

The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.

The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.

7 0
3 years ago
There are 4 such boxes containing toffee and mints Mary take 8 toffees and 26 mints from the boxes what is the ratio of the numb
Anettt [7]

Answer:

4:13

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

8 : 26

divide each number by 2

4 : 13

5 0
2 years ago
I need help, please.
Usimov [2.4K]
2 rooms would be 62+42 which is 104

3 rooms would be 104+42 which is 146

4 rooms would be 146+42 which is 188

5 rooms would be 188+42 which is 230

6 rooms would be 230+42 which is 272

but these are the prices including the 20$

without the 20$ the prices would be

2 rooms is 84

3 rooms is 126

4 rooms is 168

5 rooms is 210

6 rooms is 252
4 0
2 years ago
Read 2 more answers
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