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3 years ago

HELPPPP!!!! geometry plzzz..... What is the distance between (3,-4) and (8,8) ?

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the distance, d, between two points on the Cartesian plane use the distance formula.

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

The points are (3, -4) and (8, 8), so you can use:

x1 = 3

y1 = -4

x2 = 8

y2 = 8

Now plug in all values above in the formula and evaluate it.

$d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2}$

$d = \sqrt{(5)^2 + (8 + 4)^2}$

$d = \sqrt{25 + (12)^2}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

$d = \sqrt{13}$

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To find conjecture about regular polygon, use the formula $\frac{360}{n}$

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = $\frac{360}{3}$ = 120

2) Square
n =4
So, Conjecture of the square = $\frac{360}{4}$ = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = $\frac{360}{5}$ = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = $\frac{360}{6}$ = 60.

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3 years ago

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Determine if the two figures are congruent and explain your answer using transformations.

IRISSAK [1]

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

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2 years ago

The lateral area of a cone is 400 pi cm squared. The radius is 10 cm. Find the slant height to the nearest tenth.

Ilia_Sergeevich [38]

Answer:

Option A. $40\ cm$

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=400\pi \ cm^{2}$

$r=10\ cm$

substitute and solve for l (slant height)

$400\pi=\pi (10)l$

simplify

$400=(10)l$

$l=400/10=40\ cm$

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3 years ago

A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let

kozerog [31]

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

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where q=1-p=1-0.4=0.6.

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Answer:

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Step-by-step explanation:

y=--1/4X-6

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