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2 years ago

9

Find a slope of each line (each block is one unit):

1 answer:

Darina [25.2K]2 years ago

8 0

Answer:

The slope is -3

Step-by-step explanation:

We have two points

( -1,2) and (1,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

= ( -4 -2)/ ( 1 - -1)

= ( -4-2)/ (1+1)

= -6/2

= -3

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Alex17521 [72]

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2 years ago

Geometry question solve for x:

Nataly [62]

The perimeter of the large triangle = 2 * perimeter of the small one so:-

2x + 4x + 2(4x + 1) = 62

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2 years ago

Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is <em>(-3, -129)</em>

7 0

3 years ago

Can someone find the perimeter of JKL pls

Juli2301 [7.4K]

The perimeter should be about 66

5 0

2 years ago

The variance of a stock's returns can be calculated as the:

Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

$\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}$

where, $\overline{x}$ is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0

3 years ago