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3 years ago

A. What are the coordinates of the vertices of the triangle below?

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length $\sqrt{(x2-x1)²+(y2-y1)²}$

now

AB: $\sqrt{(-2-0)²+(3+3)²}$ = $2\sqrt{10}$ units

BC: $\sqrt{(0-4)²+(-3-5)²}$ = $4\sqrt{5}$ units

AC: $\sqrt{(-2-4)²+(3-5)²}$ = $2\sqrt{10}$ units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

( $4\sqrt{5}$ )²=2p²

16*5=2*( $2\sqrt{10}$ )²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

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What is 0.08 divided by 312

Yuki888 [10]

Answer:

3,900

Step-by-step explanation:

312 divided by 0.08 = 312

3 0

3 years ago

Read 2 more answers

If Hana is puting the fruit she bought into bowls.she bought 8 melons,12 pears,and 24 apples. She puts the same number of peices

kherson [118]

Answer: There are 2 melons, 3 pears and 6 apples in each bowl.

Step-by-step explanation:

Since we have given that

Number of melons = 8

Number of pears = 12

Number of apples = 24

We need to find the number of pieces that Hana can put in each bowl.

For greatest number of pieces = H.C.F. of 8, 12, 24 =4

So, Number of pieces of melons = $\dfrac{8}{4}=2$

So, Number of pieces of pears = $\dfrac{12}{4}=3$

So, Number of pieces of apples = $\dfrac{24}{4}=6$

Hence, there are 2 melons, 3 pears and 6 apples in each bowl.

7 0

4 years ago

2^x-4x=0 find the value of x in the equation

ella [17]

9514 1404 393

Answer:

x ≈ 0.309906932381 or 4

Step-by-step explanation:

There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.

Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.

3 0

3 years ago

Can u guys pls help me on this question and pls explain how u got the answer

frosja888 [35]

Answer:

17.4

Step-by-step explanation:

side 1=4.5

side 2=4.5

side 3=4.5

base 1=3.9

17.4

4 0

3 years ago

Sqrt45a^5 simplified

Anestetic [448]

$\sqrt{45a^5}$

[scomposition of 45]

$\sqrt{9*5*a^5}$

[9 = 3^2, must use this notation (not 3*3)]

$\sqrt{3^2*5*a^5}$

[We appy one of the proprieties of square roots]

$\sqrt{3^2}* \sqrt{5}*\sqrt{a^5}$

[now we semplify: we must take out as much as possible all the elements under roots]

[to do that, we must divide the esponent of each element with the index of square roots (2)]

$\sqrt{3^2}$ , 2/2 = 1

$\sqrt{5}$ , 1/2 = 0 with 1 of rest

$\sqrt{a^5}$ , 5/2 = 2 with 1 rest

[well, after do that, we can take out the elements under tbhe square roots!]

The quotient of each division is the esponent of the element out of the root

The rest of each division is the esponent of the element under the root

so:

$3^{1}$ (quotient = 1, see the first operation) * $\sqrt{5}$ (rest = 1, see the second operation) * $a^{2}$ (quotient = 2, see the third operation) * $\sqrt{a^1}$ (rest = 1, see the third operation)

The final result is:

3 (=3^1) * a² * √5 * √a

3a²√5a

It's more intuitive and easy, but the explanation (necessary) is very long. If you have other questions, ask me here in the comments! Also sorry for my english, not so good!

8 0

4 years ago