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Studentka2010 [4]
3 years ago
10

If A⊥Y and X || Y, then _____

Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer:

A⊥X

Step-by-step explanation:

Since

A is perpendicular to Y

A⊥Y

And, X is parallel to Y

X || Y

Which means that they have the same slope (same inclination)

That implies that A must be also perpendicular to X

A⊥X

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On a coordinate plane, point M is located at (-5,1) and point N is located at (-5,8)
Free_Kalibri [48]

Answer:

7 units

Step-by-step explanation:

d=√(x2-x1)² + (y2-y1)²

x1=-5

x2=-5

y1=1

y2=8

d=√(-5--5)² + (8-1)²

d=√0² + 7²

d=√49

d= 7 units

4 0
4 years ago
Write the rules for determining the sign of the product when multiplying integers. Then, write the rules for determining the sig
kolbaska11 [484]

An integer is a number that comprises of natural numbers like 0,1,2,3,4... so on and negative whole numbers like -1,-2,-3 and so on.

Multiplication Rules:

1. Product of two positive integers is always POSITIVE.

Eg: 8\ast 6=48

2. Product of two negative integers is always POSITIVE.

Eg: -7\ast -3=21

3. Product of a negative integer and a positive integer is always NEGATIVE.

Eg: 5\ast -4=-20

Quotient Rules:

1. Positive integer divided by a positive integer is always POSITIVE.

Eg: \frac{64}{8}=8

2. Positive integer divided by negative integer or negative integer divided by a positive integer is always NEGATIVE.

Eg: \frac{63}{-3}=-21

3. Negative integer divided by a negative integer is always POSITIVE.

Eg: \frac{-20}{-4}=5

7 0
4 years ago
Read 2 more answers
Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

y = -0.0976(x - 10)^2 + 18, x \geq 0

The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

Since the initial price was of $8 per share, we have that:

8 = a(0 - 10)^2 + 18

-82a = 8

a = -\frac{8}{82}

a = -0.0976

Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

6 0
3 years ago
Marking brainliest:)))))) !!!!!!
Arte-miy333 [17]

Answer:

x>2

Step-by-step explanation:

just divide 8 by both sides and you get x>2

4 0
3 years ago
Read 2 more answers
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hou
Blizzard [7]

Answer:

The initial number of bacteria in the culture was 1949

Step-by-step explanation:

The relative growth rate for a certain type of bacteria population is 78% per hour.

As we know the growth of bacteria is exponential function.

P=P_0(1+r)^n

where,

P is population of bacteria after n hours.

P₀ is initial population.

r is rate of growth per hour

n is number of hours

A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.

P = 34820 ,  n = 5 , r = 0.78

34820=P_0(1+0.78)^5

P_0=\dfrac{34820}{(1.78)^5}=1948.63

P_0\approx 1949

Hence, The initial number of bacteria in the culture was 1949

3 0
3 years ago
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