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Bumek [7]
3 years ago
9

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFrac

tion 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard form of the equation for this line?
Mathematics
2 answers:
user100 [1]3 years ago
3 0

Answer:

2x + 5y = - 15

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is y + 7 = - \frac{2}{5}(x - 10).

Now, we have to arrange this in the standard form.

So, y + 7 = - \frac{2}{5}(x - 10)

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

Komok [63]3 years ago
3 0

Answer:

3rd option: 2x + 5y = -15

Step-by-step explanation:

edgen2020

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261 is the quotient of r and 263
sertanlavr [38]

Answer:

68,643

Step-by-step explanation:

work backwards

261×263=68,643

68,643÷263=261

7 0
3 years ago
Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.
Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

p=2(l+w)

where

p is the perimeter

l is the length

w is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so l=\frac{2}{x+1} and w=\frac{5}{x^2-1}.

Replacing values:

p=2(l+w)

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula a^2-b^2=(a+b)(a-b) where a is the first term and b is the second term. We can infer that a=x^2 and b=1^2. So, x^2-1=(x+1)(x-1). Replacing that:

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})

We can see that the common denominator of our fractions is (x+1)(x-1). Now we can simplify our fraction using the common denominator:

p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )

p=2(\frac{2x-2+5}{(x+1)(x-1)} )

p=2(\frac{2x+3}{(x+1)(x-1)} )

p=\frac{4x+6}{(x+1)(x-1)}

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0
3 years ago
The figure below shows a shaded rectangular region inside a large rectangle:
Westkost [7]
The answer to your question is 64. 

7 0
3 years ago
What does 4x-2y=2 equal to step by step
podryga [215]

Answer:

y = 2x - 1

Step-by-step explanation:

4x - 2y = 2

So I'm assuming that your goal is to solve for the value of y in terms of x

First: the whole equation can be divided by 2

2x - y = 1

Second: subtract 2x from both sides

-y = -2x + 1

Third: divide each side by -1

y = 2x - 1

Done! I would appreciate Brainliest but no worries.

5 0
3 years ago
Read 2 more answers
Sam has $3.30 in quarters and dimes, and the total number of coins is 18. How many quarters and how many dimes?
zhuklara [117]

Answer:

Quarters: 10

Dimes: 8

Step-by-step explanation:

Constraints

value: 0.25q + 0.10d = 3.30

count: q + d = 18

q = 18 - d

0.25(18-d) + 0.10d = 3.30

4.50-0.25d+0.10d = 3.30

4.50-0.15d = 3.30

-0.15d = -1.20

d = 8

q + d = 18

q + 8 = 18

q = 10

Check:

0.25(10) + 0.10(8) = 3.30

2.5+ 0.80 = 3.30

3.30 = 3.30

4 0
3 years ago
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