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VMariaS [17]
3 years ago
11

A(9,2) B(1,6) if (2,k) is equidistant from A and B, find the value of k.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2

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Paha777 [63]
Change the 30% into a decimal
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then multiply 2075/.3
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3 years ago
An expression to convert 50 miles per hour to miles per minute is shown.
Nataliya [291]
Use the fact that 1 hour = 60 minutes, from which you can create your conversion factor: 1 = hour / 60 minutes. That permit you to multiply the number of miles per hour times [1 hour/60minutes] to convert 50 miles per hours to miles per minute. This is the calculation: 50 miles/hour * [1hour/60minures] = 0.833 miles / minute
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3 years ago
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What is the value of x in this figure?<br> O x= 30<br> O x = 40<br> O x = 60<br> O I don't know.
Alika [10]

Answer:

i guess you know its 40 now. :p

Step-by-step explanation:

6 0
1 year ago
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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +
anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

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8 0
3 years ago
FIRST ANSWER GETS BRANLIEST
Darina [25.2K]

There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.

CostA = 90 + .40(miles)

CostB = 30 + .70(miles)

We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:

90 + .40(miles) < 30 + .70(miles)     This is where we will now begin to solve for the number of miles.

-30                      -30                       Subtract 30 from both sides.

60 + .4(miles) < .7(miles)                Simplify

      -.4(miles)   -.4(miles)                Subtract .4(miles) from both sides

60 < .3(miles)                                 Simplify

/.3     /.3                                        Divide both sides by .3

200 < miles                                   Simplify

So for A to cost less the number of miles must be greater than 200.

5 0
3 years ago
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