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3 years ago

What is the equation of the line that passes through the point (-5,-2) and has a slope of -6/5

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1) \\$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

$y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2$

We have the final answer as

$y = - \frac{6}{5} x - 8 \\$

Hope this helps you

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What is one third the difference between 3/4 and 2/3?

Ivan

Answer:

One third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

Step-by-step explanation:

One third the difference of A and B = $\frac{1}{3} \times (A-B)$

Here, as given in the question:

$A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})$

Now, one third of the difference is :

$(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})$

Hence, one third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

3 0

4 years ago

An item is regularly priced at $70. Keiko bought it on sale for 80% off the regular price. How much did Keiko pay? $

pantera1 [17]

Answer:

$14

Step-by-step explanation:

80% of $70 is $14, saving him $56

8 0

2 years ago

Read 2 more answers

What is 13/2 - 2/13.

skad [1K]

13/2 = 6.5
2/13 = 015
6.5-0.15 = 6.35

4 0

3 years ago

A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al

ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

$A=\dfrac{1}{2}\times base\times height$

In a right angle triangle, the area of the triangle is

$A=\dfrac{1}{2}\times leg_1\times leg_2$

Putting A=18 and $leg_1=6$ , we get

$18=\dfrac{1}{2}\times 6\times leg_2$

$18=3\times leg_2$

Divide both sides by 3.

$\dfrac{18}{3}=leg_2$

$6=leg_2$

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0

3 years ago

Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu

Vlad [161]

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

6 0

3 years ago