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liraira [26]
2 years ago
14

Is the line through points P(-8,-10) and Q(-5,-12) perpendicular to the line through points R(9,-6) and S(17,-5)? Explain.

Mathematics
1 answer:
Brut [27]2 years ago
5 0
Consider this option:
1. rule: if the scalar product PQ*RS=0, then PQ⊥RS.
2. PQ=(3;-2), RS=(8;1).
3. The scalar product of PQ*RS=3*8-1*2=22≠0. The line included PQ is not perpendicular to the line included RS.
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Answer:

b

Step-by-step explanation:

3 0
2 years ago
Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Step-by-step explanation:

(7x+4)(7x+4)=(7x+4)^2 ( using (a+b)(a+b)=(a+b)^2 )

=(7x)^2+2(7x)(4)+4^2 ( using (a+b)^2=a^2+2ab+b^2 )

=7^2x^2+56x+16

=49x^2+56x+14

Therefore (7x+4)(7x+4)=49x^2+56x+14

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

6 0
2 years ago
Read 2 more answers
Mia is 7.01568 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume every other m
pshichka [43]

Answer:

There are 13 years 6 months and 12 days.

Step-by-step explanation:

Let's convert the scientific notation to standard form of minutes

7.01568x10^6 =7015680 minutes

Now, let's convert this to number of days because each day has 24*60=1440 minutes.

So, number of days in 7015680 minutes is \frac{7015680}{1440}=4872 days

Now, change this 4872 days to years, months and days.

We know 1 year has 12 months and one month has 30 days.

So,

Number of years =\frac{4872} {12*30}=13.53333333 years

Now, convert 0.53333333 years to months.

0.53333333*12=6.4 months.

Now, convert 0.4 months to days.

0.4* 30 =12 days.

So, there are 13 years 6 months and 12 days.

8 0
2 years ago
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a
zhuklara [117]
Thtas what you must mean. 
The distance beteen th epoints will be sqrt(4^2 + 6^2) = sqrt 52  = 2 sqrt13
3 0
2 years ago
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The average lethal blood concentration of morphine is estimated to be 2.5 µg/mL with a standard deviation of 0.95 µg/mL. The dat
dmitriy555 [2]

Answer:

The probability associated with the range lethal morphine blood levels is 0.9902.

Step-by-step explanation:

Let <em>X</em> = lethal blood concentration of morphine.

The random variable <em>X</em> is normally distributed with parameter <em>μ</em> = 2.5 μg/ mL and <em>σ</em> = 0.95 μg/ mL.

Compute the probability of <em>X</em> within the range 0.05 to 4.95 μg/ mL as follows:

P(0.05

*Use a <em>z</em>-table for the probability.

Thus, the probability associated with the range lethal morphine blood levels is 0.9902.

5 0
2 years ago
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