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2 years ago

Distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

Mathematics

1 answer:

kolezko [41]2 years ago

3 0

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = $\sqrt{(2-2)^2+(a+1)^2}$ = $\sqrt{0+(a+1)^2}$ = $\sqrt{(a+1)^2}$ = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

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MrRissso [65]

Answer:

Step-by-step explanation:

Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably. When you factor a polynomial, you solve for x which are the solutions of the polynomial. Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.

Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with. Each zero or solution is the x value when y = 0. For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0. What we have then is a binomial factor of the polynomial in the form (x - 3). These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.

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3 years ago

How do I solve this equation: (3+2i)+(2+bi)=5-4i

oksian1 [2.3K]

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3 years ago

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Nata [24]

a). 0.45 with a line over the 45 means 0.45454545454545... forever.

It's equivalent to 45/99 which is 5/11 .

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It's equivalent to (0.4 + 0.555555.../10)

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The 0.5555555555.../10 part is 5/90 .

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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

We know that mean is the sum of all the elements divided by the number of elements there are: m = t/n, where m is the mean, t is the total sum, and n is the number of elements.

Here, we are given the mean number of coins for all 27 + 18 = 45 children is 16, so m = 16 and n = 45. Then:

m = t/n

16 = t/45

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This t means that the total number of coins that all the boys and girls have is 720 coins.

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