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2 years ago

Find the distance between the points given.

Mathematics

1 answer:

Maru [420]2 years ago

4 0

Use the distance formula

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2$

Input corresponding numbers

$d = \sqrt {\left( {2- 6} \right)^2 + \left( {5-8} \right)^2$

Solve

$d = \sqrt {\left( {-4} \right)^2 + \left( {-3} \right)^2$

$\sqrt{16 + 9}$

$\sqrt{25} = 5\\\\ d=5$

So, the distance between the points given is 5

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A certain bacterial culture is multiplying in a culture dish, doubling in size every 6 minutes. It takes exactly an hour to fill

Furkat [3]

Doubling in size,

if the whole dish is filled in an hour (all of it)
how long does it take to fill 1/2 dish?

notice that
1/2 doubled=1/2 times 2=2/2=1 whole dish
therefor it only doubled one more time from the 1/2 point

1hour=all
1hour-6mins=1/2 dish

1hour-6mins=60-6=54 minutes

answer is 54 minutes

4 0

2 years ago

)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio

Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0

3 years ago

Charlie estimates his dog weighs 17 lbs. When Charlie weighed his dog, he weighed 20 lbs. What is the percent error of the weigh

amm1812

Answer:

The 15% error

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, f

USPshnik [31]

Answer:

LA = 21.7 ft²; C = 18.8 ft; h = 2.3 ft
h = 8 in; r = 7 in; SA = 330.1 in²

Step-by-step explanation:

Applicable relations are ...

C = 2πr . . . . . . . r = radius, C = circumference

LA = 1/2·Ch . . . . h = slant height, LA = lateral area

SA = πr² +LA . . . SA = total surface area

1. Given r and SA, we can find the other measures as ...

LA = SA -πr² = 50 ft² -π(3 ft)² ≈ 21.7 ft²

C = 2πr = 2π(3 ft) ≈ 18.8 ft

h = 2·LA/C ≈ 2·21.7 ft²/(18.8 ft) ≈ 2.3 ft

(Please note that for calculations using intermediate results, we used the full-precision values of those results, not the rounded ones. Rounding is always the last operation. Please note, too, that we have used a value for π sufficient to ensure accuracy in all the digits shown here.)

2. Given C and LA, we can find the other measures as ...

h = 2·LA/C = 2(176 in²)/(44 in) = 8 in

r = C/(2π) = (44 in)/(2π) ≈ 7.0 in

SA = LA +πr² = LA +rC/2 ≈ 176 in² +(7.0 in)(44 in)/2 ≈ 330.1 in²

4 0

2 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial