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2 years ago

Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

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Given the following formula, solve for I. P = 2(1 + b)

patriot [66]

Answer: $l=\dfrac{P}{2}-b$

Step-by-step explanation:

P = 2(l + b)

Divide both sides by 2:

$\dfrac{P}{2}=l+b$

Subtract b from both sides:

$\dfrac{P}{2}-b=l$

Note: You can also multiply b by $\frac{2}{2}$ if you want the left side to be one fraction.

$\dfrac{P}{2}-\bigg(\dfrac{2}{2}\bigg)b=l\\\\\\\dfrac{P-2b}{2}=l$

6 0

3 years ago

Factor this expression fully <img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%28x%20-%201%29%20-%209x%28x%20-%201%29%2

AnnZ [28]

Answer:

1,0

Step-by-step explanation:

No need to expand look at the roots of the brackets.

(x-1)=0

x=1

x^2 and -9x have roots 0

Think of it as whatever sets the expression to 0.

8 0

3 years ago

A set average city temperatures in August are normally distributed with a mean of 21.25 degrees Celsius and a standard deviation

Ainat [17]

Answer:

The proportion of temperatures that lie within the given limits are 10.24%

Step-by-step explanation:

Solution:-

- Let X be a random variable that denotes the average city temperatures in the month of August.

- The random variable X is normally distributed with parameters:

mean ( u ) = 21.25

standard deviation ( σ ) = 2

- Express the distribution of X:

X ~ Norm ( u , σ^2 )

X ~ Norm ( 21.25 , 2^2 )

- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :

P ( 23.71 < X < 26.17 )

- We will standardize our limits i.e compute the Z-score values:

P ( (x1 - u) / σ < Z < (x2 - u) / σ )

P ( (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2 )

P ( 1.23 < Z < 2.46 ).

- Now use the standard normal distribution tables:

P ( 1.23 < Z < 2.46 ) = 0.1024

- The proportion of temperatures that lie within the given limits are 10.24%

4 0

3 years ago

The equation of line r is y = -1\2x - 4. If line s runs perpendicular to line r and passes through (4, -3), what would be the eq

Scrat [10]

First off, what's the slope of "r" anyway, $\bf y=\stackrel{slope}{-\cfrac{1}{2}}x-4$ .

low and behold, since "r" is in slope-intercept form, notice, it has a slope of -1/2.

now, any line perpendicular to "r", will have a negative reciprocal slope to it, that is,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{2}\\\\
negative\implies +\cfrac{1}{{{ 2}}}\qquad reciprocal\implies + \cfrac{{{ 2}}}{1}\implies 2$

so we're really looking for a line whose slope is 2, and runs through 4,-3,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 4}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=2(x-4)\implies y+3=2x-8
\\\\\\
y=2x-11$

7 0

3 years ago

What is 108 divided by 9

N76 [4]

The answer should be 12

6 0

3 years ago

Read 2 more answers