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3 years ago

Calculate slope of the line passing through the points (7, 5) and (21, 15). Give the answer in simplest form.

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

Answer:

Slope= 5/7

Step-by-step explanation:

If the points are (7, 5) and (21, 15),

Use the slope formula y2-y1/x2-x1 and enter the given points above.

15-5/21-7=

10/14=

5/7

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Please look please asap

Amiraneli [1.4K]

This may be 3 or it also may be 3

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3 years ago

Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

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3 years ago

which is the better deal to buy vegetables at a supermarket? $2.45/2.5lb of potatoes or $0.98/lb of potatoes

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If you take 0.98 and multiply by 2.5 you get 2.45 so there is no better deal. ☺

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3 years ago

3. List the coefficients in the expression below. 14x - 7x + 1-2x

elena-14-01-66 [18.8K]

Answer:

14, -7, -2

Step-by-step explanation:

The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:

14x - 7x + 1 - 2x

↑ ↑ ↑

14 -7 -2

The coefficients in the expression are 14, -7, and -2.

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2 years ago

What value of z makes the statement true?

Shkiper50 [21]

-(z + (-17)) = 12 + 17

-(z - 17) = 12 + 17

Distribute -1:

-z + 17 = 12 + 17

Subtract 17 to both sides:

-z = 12

Multiply -1 to both sides:

z = -12

4 0

3 years ago