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3 years ago

two points on the line are (-10,1) and (5,-5).if the coordinate of another point on the line is -3,what is the x-coordinate?

Mathematics

1 answer:

zlopas [31]3 years ago

6 0

Answer:

x-coordinate = 0

Step-by-step explanation:

(-10,1) , (5,-5)

m = (y₂ - y₁)/(x₂ - x₁) = ( -5 - 1 ) / ( 5 - [-10] )

= -6 / ( 5 + 10)

= -6/15 = -2/5

y - y₁ = m (x - x₁)

y - 1 = (-2/5) ( x - [-10] )

y - 1 = (-2/5) ( x + 10 )

5 * (y -1) = -2 (x + 10)

5y - 5 = -2x -20

2x + 20 + 5y -5 = 0

2x + 5y + 15 = 0

Another point (a, -3) in on this line

2 * a + 5 * (-3) = -15

2a -15 = -15

2a = -15 +15

2a = 0

a = 0

x-coordinate = 0

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The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

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Step-by-step explanation:

Given:

The height of the wooden pole is, $h=15\ ft$

The distance from the base of the pole to this point on the ground is, $b=8\ ft$

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

$(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2$

Plug in the given values and solve for 'l'. This gives,

$l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17$

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

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Answer:

Jackson had 1, ⅜ kg of fertilizer he used some to fertilize a flower bed and he only had ⅔ kg left how much fertilizer was used in the flower bed

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

to a improper fraction: 3 3/8 = 3 3/

= 3 · 8 + 3/

= 24 + 3/

= 27/

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

= 24/

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

- 27/

= 1 · 4/

2 · 4

- 27/

= 4/

- 27/

= 4 - 27/

= -23/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

* the result of step No. 2 = 1/

* (-23/

) = 1 · (-23)/

3 · 8

= -23/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths

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3 years ago

two points on the line are (-10,1) and (5,-5).if the coordinate of another point on the line is -3,what is the x-coordinate?​

two points on the line are (-10,1) and (5,-5).if the coordinate of another point on the line is -3,what is the x-coordinate?