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3 years ago

A line passes through the points (-1,-4) and (-2,0). What is the equation of this line?

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer:

y = -4x -8

Step-by-step explanation:

The slope is given by

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

m = (0--4)/(-2--1)

= (0+4)/(-2+1)

=4/-1

= -4

We know the point slope form of a line is

y-y1 = m(x-x1)

y-0 = -4( x--2)

y = -4(x+2)

y = -4x -8

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3 years ago

In a statistics class of 13 sophomores, 12 juniors, and 8 seniors, 5 of whom are male sophomores, 6 of whom are female juniors,

8_murik_8 [283]

Answer:

$\frac{20}{33}$

Step-by-step explanation:

We are given that

Sophomores=13

Juniors=12

Seniors=8

Male sophomores=5

Female sophomores=6

Male seniors=4

We have to find the probability of randomly selecting a junior or a senior.

Total persons=13+12+8=33

Let A=Seniors

B=Juniors

Probability,P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of cases}$

Using the formula of probability

$P(A)=\frac{8}{33}$

$P(B)=\frac{12}{33}$

$A\cap B=0$

$P(A\cap B)=0$

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{8}{33}+\frac{12}{33}$

$P(A\cup B)=\frac{8+12}{33}=\frac{20}{33}$

Hence, the probability of selecting a junior or senior= $\frac{20}{33}$

3 0

3 years ago

Given f(x)=5-3x, if f(x)=-19, find x

Dafna1 [17]

X would equal 8

Step-by-step explanation:

5-3(8) = -19

5 multiplied by negative 3 times 8 equals negative 19

negative 3 times 8 equals negative 24 plus 5 equals 19

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3 years ago

The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak. 41

nlexa [21]

Answer:

h = 9 ft

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

$\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}$

8 0

3 years ago