Perpendicular distance between the planes 2x-y+2z=1 and 4x-2y+4z=1 is.......,Select the correct option from the given options.(a) 1/3
(b) 3
(c) 1/6
(d) 6

Answers

Answer 1
Answer: It’s option a 1/3 simple

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Suppose 5% of the population have a certain disease. A laboratory blood test gives a positive reading for 95% of people who have the disease. What is the probability of testing positive and having the disease?
Can you plz help me on this?
Solve the inequality. x+9<15 5>2+yz-2.3<4.7 6
In the first 42 Super Bowls, 0.16(repeating sign over 6) of the MVPs were running backs.a. What percent of the MVPs were running backs? Write the percent as a mixed number. b. What fraction, in simplest form, of the MVPs were not running backs?

Mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Round off your answers to the nearest half-dollar.

Answers

Twenty two and a half dollars
119 the exact answer is 119.3 though

work the area of a rectangle out but already knowing the area and needing to know the length as it is two centermeters more than the width, area being 469

Answers

the area of a rectangle is the length times width:
a = l*w
the length is 2 centimeters more than the width:
l = w + 2
express area in terms of width
a = l*w
a = (w + 2)w
a = w^2 + 2w
w^2 + 2w = 469
w^2 + 2w - 469 = 0
we can solve using the general quadratic formula:
w = (-2 +- √(4 + 1876))/2
w = (-2 +- 43.36)/2
we use the positive solution:
w = (-2 + 43.36)/2
w = 20.68
thus the width is 20.68 cm
l = w + 2 = 20.68 + 2
l = 22.68
and the length is 22.68 cm

Work Out 2/3 Divided By 1/4.
Give Your Answer In The Simplest Form.

Answers

multiple 2/3 with 4/1 and it's 8/3

The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Earlier price is 2.80
Current price is 2.87

Increment is 
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %

Whats the answer to this in the picture?
2/3(3x-15y)+(9-11x)

Answers

(2)/(3) (3x-15y)+(9y-11x)

= 2(x-5y)+(9y-11x)

= 2x-10y+9y-11x

=-9x-y
A) -9x - y

3 * (2/3) = 2
-15 * (2/3) = -10

(2x - 10y) + (9y - 11x)

Combine like terms:
9y - 10y = -1y (or -y)
-11x + 2x = -9x
A) -9x - y

The trinomial x2+bx-c has factors of (x+m)(x-n) where m,n, and b are positive. What is the relationship between the values of m and n? Explain

Answers

Sample Answer: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

its right ur welcome

Answer:

(m - n ) = b

mn = c

The relationship between m and n is such that their product is c  and their difference is b

Step-by-step explanation:

roots are   x = -m   and  x = n

-m   =   -b/2 - root(b*b + 4c)/2

n = -b/2 + root(b*b + 4c)/2

(x + m)(x -n) =  x*x +(m - n)x  - mn

(m - n ) = b

mn = c