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murzikaleks [220]
3 years ago
11

Line 1 passes through (4, 5) and it’s perpendicular to the line shown on the coordinate grid

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

6x -y = 19

So, Option D is correct.

Step-by-step explanation:

Line 1 has points (4,5)

The other line has points (0,3) and (6,2)

The slope of this line is: m = y₂ - y₁/x₂ - x₁

m = 2-3/6-0

m = -1/6

Since both lines are perpendicular, so their slopes will be: m = -1/m

Since this line is perpendicular to the given other line so, slope of line 1 will be: 6

Now find y-intercept i.e b

y = mx+b

5 = 6(4)+b

5 = 24 + b

=> b = 5-24

=> b = -19

So, The equation will be:

m = 6, b = -19

y= mx + b

y = 6x -19

y - 6x = -19

Multiply with -1

-y +6x = 19

or 6x -y = 19

So, Option D is correct.

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A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500
nekit [7.7K]

Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' =  B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

= P(A')P(B')P(C')  (since A,B, C are independent, their complements are independent

= (1-0.03)(1-0.04)(1-0.03)

= 0.903264

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3 years ago
What is the value of the expression 3a+b2 when a=14 and b=32 ?
soldi70 [24.7K]

Answer:

106

Explanation:

3a+b2

Substitute the values for the variables:

3(14) + 2(32)

Solve:

3(14) + 2(32)

42 + 64

106

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Simora [160]
Sorry I can not help u right now
4 0
3 years ago
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X-y=3 in slope intercept form and find x and y intercepts​
Dominik [7]

Answer:

x intercept is x=3

y intercept is y=-3

Step-by-step explanation:

We can write this equation in a simpler way to find the values needed. Lets do it. Take:

x-y=3

And sum y in both sides, as we know the equality will maintain:

x-y+y=3+y

x = 3+ y

Now subtract 3 in both sides:

x-3 = y+3-3

x-3=y

So, we can rewrite our equation as y=x-3

The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:

x-3 = 0

If we sum 3 in both sides:

x-3+3=3

x=3

So, x=3 is x intercept

For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:

0-3=y

y=-3

Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.

7 0
3 years ago
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