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s344n2d4d5 [400]

2 years ago

8

Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.

1 answer:

dedylja [7]2 years ago

4 0

$y = \frac{ - 1}{4} x + \frac{1}{2}$

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HELP ASAP PLEASE!!! PLEASE SHOW WORK Calculate how many fluid ounces (fl oz) of water is needed if a recipe requires 2 cups of w

artcher [175]

Answer:

16 fl oz

Step-by-step explanation:

1 cup of H2O is 8 fluid ounces

So, if we have 2 cups, we multiply 8 by 2 to get 16 fl oz.

3 0

3 years ago

Prove the identity.<br> TT<br> sin x +<br> 2.<br> cotx<br> sin (-x)

saveliy_v [14]

Answer:

Hi... Do this for prove that

7 0

3 years ago

Read 2 more answers

A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqr

seraphim [82]

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

$Perimeter = a\sqrt{2} + b\sqrt{10}$

Required

$a + b$

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

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

$(x_1,y_1) = A(0,1)$

$(x_2,y_2) = B(3,4)$

Substitute these values in the formula above

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

$AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}$

$AB = \sqrt{( - 3)^2 + (-3)^2}$

$AB = \sqrt{9+ 9}$

$AB = \sqrt{18}$

$AB = \sqrt{9*2}$

$AB = \sqrt{9}*\sqrt{2}$

$AB = 3\sqrt{2}$

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

$(x_1,y_1) = B (3,4)$

$(x_2,y_2) = C(4,3)$

Substitute these values in the formula above

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

$BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}$

$BC = \sqrt{(-1)^2 + (1)^2}$

$BC = \sqrt{1 + 1}$

$BC = \sqrt{2}$

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

$(x_1,y_1) = C(4,3)$

$(x_2,y_2) = D (3,0)$

Substitute these values in the formula above

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

$CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}$

$CD = \sqrt{(1)^2 + (3)^2}$

$CD = \sqrt{1 + 9}$

$CD = \sqrt{10}$

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

$(x_1,y_1) = D (3,0)$

$(x_2,y_2) = A (0,1)$

Substitute these values in the formula above

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

$DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}$

$DA = \sqrt{(3)^2 + (- 1)^2}$

$DA = \sqrt{9 + 1}$

$DA = \sqrt{10}$

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

$Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}$

$Perimeter = 4\sqrt{2} + 2\sqrt{10}$

Recall that

$Perimeter = a\sqrt{2} + b\sqrt{10}$

This implies that

$a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}$

By comparison

$a\sqrt{2} = 4\sqrt{2}$

Divide both sides by $\sqrt{2}$

$a = 4$

By comparison

$b\sqrt{10} = 2\sqrt{10}$

Divide both sides by $\sqrt{10}$

$b = 2$

Hence,

a + b = 2 + 10

a + b = 12

3 0

3 years ago

Find the area of the figure.

svetlana [45]

Answer:

203 YD

Step-by-step explanation:

5 0

3 years ago

A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don

ankoles [38]

Answer:

$\huge\boxed{77}$

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7 [Not 4 factors]

14 => 1,2,7,14 [4 factors but Sum = 24]

21 => 1,3,7,21 [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28 [Not 4]

35 => 1,5,7,35 [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42 [Not 4]

49 => 1,7,49 [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56 [Not 4]

63 => 1, 3, 7, 9, 21, 63 [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70 [Not 4]

77 => 1, 7, 11, 77 [4 factors and Sum = 96]

7 0

3 years ago

Read 2 more answers