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Roman55 [17]
3 years ago
9

Standard form of a point that goes through-2,4 and the slope is -1/7

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

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The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec
kati45 [8]

Let's the length to be x,

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Perimeter of a rectangle = 2*Width + 2*Length

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Ar the same time, Perimeter of the rectangle = 88.

So, we can write

18x - 4 = 88

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6 0
3 years ago
Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of $2.65.
guajiro [1.7K]

Answer:

21

Step-by-step explanation:

Let x represent the number of dimes and y represent the number of nickels.  The total number of coins is 37; this gives us the equation

x+y = 37

Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05.  The total amount of money is given by

0.10x+0.05y = 2.65

This gives us the system

\left \{ {{x+y=37} \atop {0.10x+0.05y=2.65}} \right.

To solve this, we will use substitution.  We will isolate x in the first equation:

x+y=37

Subtract y from each side:

x+y-y = 37-y

x = 37-y

Substitute this into the second equation:

0.10(37-y)+0.05y = 2.65

Using the distributive property,

0.10(37)-0.10(y)+0.05y = 2.65

3.70-0.10y+0.05y = 2.65

Combining like terms,

3.70-0.05y = 2.65

Subtract 3.70 from each side,

3.70-0.05y-3.70 = 2.65-3.70

-0.05y = -1.05

Divide both sides by -0.05:

-0.05y/-0.05 = -1.05/-0.05

y = 21

There were 21 nickels.

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3 years ago
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Answer:

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Step-by-step explanation:

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