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2 years ago

Line d passes through points (10, 10) and (7, 5). Line e is perpendicular to d. What is the slope of line e?

Mathematics

2 answers:

Leno4ka [110]2 years ago

5 0

Answer:

(-3,-5)

Step-by-step explanation:

subtract y1 from y2 and you get -5. Now subtract x1 from x2 and you get -3. Now put the x value first and then the y value.

Alborosie2 years ago

3 0

Answer:

Step-by-step explanation:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:10\right),\\\:\left(x_2,\:y_2\right)=\left(7,\:5\right)\\\\m=\frac{5-10}{7-10}\\\\Simplify\\\\m = \frac{-5}{-3} \\\\m=\frac{5}{3}$

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seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

$6=2(l+w)$

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we have

$A=2\ m^2$

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$w^2-3w+2=0$

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

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Answer:

Step-by-step explanation:

The figure B is the scaled copy of the figure A.

The both figures are similar to each other.

<u>The scale factor is the ratio of corresponding sides of figure B to A:</u>

k = 3/9 = 1/3

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