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lutik1710 [3]
3 years ago
11

Which of the following vectors are orthogonal to (1,5)? Check all that apply

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal

</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal 

</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are  orthogonal 

<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal 

<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are  orthogonal 

the answer is 
B. (10,-2) and D. (-5,1)  are  orthogonal  to  (1,5)
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A decorative floor pattern has 1 red square tile surrounded by 12 blue tiles. Write an expression to show how many total red and
Nonamiya [84]

The general equation is that for every red tile, there must be 12 blue ones.

Algebraically this is expressed as b = 12r where r is red and b is blue. Your teacher might like you to express it as y = 12x where y is blue and x is red. The meaning is the same.

For beginners it might be easier to say b = 12r. So if you have 15 reds then r = 15

b = 12 * r

b = 12 * 15

b = 180 blue tiles.

8 0
3 years ago
Read 2 more answers
Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3
timurjin [86]

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

5 0
3 years ago
I need help with this one asap please and thank you
inna [77]

Answer:

C

Step-by-step explanation:

A

(m² - 3m + 2) / (m² - m)

we see due to a little bit of experience with expressions and multiplications of expressions that

(m² - 3m + 2) = (m - 2)(m - 1)

(m² - m) = m(m - 1)

so,

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

so, that's not it.

B

(m² - 2m + 1) / (m - 1)

we see again

(m² - 2m + 1) = (m - 1)(m - 1)

so,

(m - 1)(m - 1) / (m - 1) = m - 1

so, that's not it.

C

(m² - m - 2) / (m² - 1)

we see again

(m² - m - 2) = (m - 2)(m + 1)

and

(m² - 1) = (m + 1)(m - 1)

so,

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

yes, that is the solution.

D

(2m² - 4m) / (2(m - 2))

2m(m - 2) / (2(m - 2)) = 2m/2 = m

no, that is not a solution.

8 0
1 year ago
2. Which of these are solutions to the equation 2x3 = 54?
cricket20 [7]
The answer is C. x=3 2(3)^3=54
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3 years ago
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as a cure to the epidemic that spread in the whole country, the department of health released a new drug that is subject for exp
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Answer:

Your smart maybe

Step-by-step explanation:

5 0
3 years ago
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