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3 years ago

What is an equation of the line perpendicular to y=1/5x+2 that contains (15,-4)

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5. Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5: -5.

Use the point-slope equation of a line: y - k = m(x - h), where (h, k) is the point through which the new line passes. Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

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Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det

Viktor [21]

Answer:

x = $\frac{59}{5}$

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

$Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})$

(7,-3) = $(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )$

(7,-3) = $(\frac{5x+32}{13}, \frac{5y+16}{13})$

Now

7 = $\frac{5x+32}{13}$

5x+32 = 91

x = $\frac{59}{5}$

and

$-3 =\frac{5y+16}{13}$

5y + 16 = -39

y = -11

That's the final answer.

8 0

3 years ago

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 ca

lord [1]

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

$(\bar{x}) = 28.4$

$(n)= 49$

$(\sigma) = 6$

$(CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}$

$z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})$

$CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)$

8 0

3 years ago

Find the volume of this triangular prism.

True [87]

Answer:

7 * 4 * 12 = 336sq cm

Step-by-step explanation:

Hoped this helped

4 0

2 years ago

What am I doing wrong

stiv31 [10]

For this answer it is:

12 inches = 36 feet

7 0

3 years ago

Evaluate x^0+ y^0 for x = 3 and y = 2.<br> 0<br> 1 5 2

stiks02 [169]

Answer:

Step-by-step explanation:

x^0+ y^0

Let x = 3 and y = 2

3^0 + 2^0

Raised to the 0 power is 1

1 + 1

5 0

3 years ago