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3 years ago

Write the equation of the line that goes through (-3.9, -1.4) and is PERPENDICULAR to 6x + 2y = 9

Mathematics

1 answer:

FrozenT [24]3 years ago

4 0

9514 1404 393

Answer:

10x -30y = 3

Step-by-step explanation:

In general form, you can start by swapping the x- and y-coefficients, negating one of them. To find the new constant for the equation, substitute the values for the given point

2x -6y = 2(-3.9) -6(-1.4)

2x -6y = 0.6

Multiplying by 5 will make the numbers be integers, so will put the equation in standard form.

10x -30y = 3

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An email spam reaches three readers. Each of them forwarded the same email to three different readers. Each of these new readers

SOVA2 [1]

Answer:120

Step-by-step explanation:

3+9+27+81

7 0

3 years ago

Read 2 more answers

Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute valu

dusya [7]

Inequalities are used to compare unequal expressions.

The actual comparison is: $\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

The temperatures are given as:

$\mathbf{Temperature = -3.5F,\ \ 5F,\ \ 1.5F,\ \ -0.5F,\ \ -2F,\ \ 2.5F,\ \ -4F}$

From the above list, we have:

$\mathbf{Day \ 1= -3.5F}$

$\mathbf{Day \ 2= 5F}$

By comparison,

$\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

Using absolute values, the inequalities are:

$\mathbf{|-3.5| < |5|}$ or $\mathbf{|5| > |-3.5|}$

Hence, the actual comparison is:

$\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

Read more about inequalities and absolute values at:

brainly.com/question/24797699

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3 years ago

Read 2 more answers

(\tan ^(2)\theta \cos ^(2)\theta -1)/(1+\cos (2\theta ))=

Vitek1552 [10]

(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ))

Recall that

tan(θ) = sin(θ) / cos(θ)

so cos²(θ) cancels with the cos²(θ) in the tan²(θ) term:

(sin²(θ) - 1) / (1 + cos(2θ))

Recall the double angle identity for cosine,

cos(2θ) = 2 cos²(θ) - 1

so the 1 in the denominator also vanishes:

(sin²(θ) - 1) / (2 cos²(θ))

Recall the Pythagorean identity,

cos²(θ) + sin²(θ) = 1

which means

sin²(θ) - 1 = -cos²(θ):

-cos²(θ) / (2 cos²(θ))

Cancel the cos²(θ) terms to end up with

(tan²(θ) cos²(θ) - 1) / (1 + cos(2θ)) = -1/2

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2 years ago

It is estimated that 91% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 6% of seniors suff

Fofino [41]

The probability of senior citizens suffer from sleep disorders is

$P(A)=0.91$

The probability of senior citizens suffer from anxiety is,0.09.

$P(B)=0.09$

The probability of seniors suffer from both sleep disorders and anxiety is,

$P(A\cap B)=0.06$

a. The probability that a senior citizen suffers from anxiety, given that he or she has a

sleep disorder.

$P(A|B)=\frac{P(A\cap B)}{P(B)}$ $P(A|B)=\frac{0.06}{0.09}$ $P(A|B)=0.67$

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1 year ago

Carla is age 32. how many quarters of coverage does she need to be fully insured

never [62]

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Hope I helped or shed some light !.

7 0

3 years ago