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ira [324]
3 years ago
12

Find the distance between the points (1, 2) and (4,3).

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

ANSWER: Exact Form: \sqrt{10}

Decimal Form:  3.16227766

STEP-BY-STEP EXPLANATION:

(1, 2) and (4,3)

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }

Substitute the actual values of the points into the distance formula.

\sqrt{(4-1)^{2  }+ (3-2)^{2} }

The result can be shown in multiple forms.

Exact Form: \sqrt{10}

Decimal Form:  3.16227766

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How many zeros in x^4 + 3x2 + 12
barxatty [35]

Answer:

We know that ,

Number of zeroes in a polynomial = degree of the polynomial

( degree of polynomial = the highest power in the polynomial )

therefore ,

\bold\blue{number \:of \:zeroes \:of\: the \:given} \\\bold\blue{polynomial\: = \:4}

hope helpful~

3 0
2 years ago
How did Spain and Portugal maintain control of their Latin American domains?
ioda
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6 0
3 years ago
Air pressure may be represented as a function of height (in meters) above the
denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
3 years ago
PLEASE ANSWER THIS FAST-Name the angles and sides of each pair of triangles that are congruent.
Alexxandr [17]

Answer:

1. Gh is congruent to Gh. Hf is congruent to HL. Gf is congruent to GL. Angle G is congruent to angle G. Angle h is congruent angle h. Angle F is congruent to angle L.

2. Cb is congruent to Jk. Bd is congruent to KL. Cd is congruent to JL. Angle c is congruent to angle j. Angle b is congruent to angle j. Angle d is congruent to angle L.

3. Wx is congruent to Dc. Xy is congruent to Cy. Wc is congruent to Dy. Angle w is congruent to angle d. Angle c is congruent to angle x. Angle y is congruent angle y.

Tip: Label the statement 1 , 2, 3 and do the same to the other one. It will make your life so much easier.

3 0
2 years ago
List these fractions form greasiest to least
Aleksandr-060686 [28]

Answer:

9,32 . 7,16 . 3,8 . 5,8 . 3,4 . 1,2

in that order buddy make it exactly like this :)

6 0
3 years ago
Read 2 more answers
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