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Cerrena [4.2K]
3 years ago
11

I need help with 3/9-1/10 in fractions

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

7/30

Step-by-step explanation:

convert them to a common denominator by multiplying top and bottom to have a common denominator of 90. It becomes 30/90-9/90. Then you get 21/90 which reduces to 7/30.

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Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19
user100 [1]

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units

Read more about distance at

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4 0
1 year ago
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Which quadratic equation has roots - 2 and 1/5 :
Sladkaya [172]

Answer:

5 {x}^{2}  \:  +  \: 8x \:  - 2 \:  =  \: 0

Step-by-step explanation:

sum \: of roots =  - 2 +  \frac{1}{5}  = - \frac{8}{5}  \\ product \: of \: roots =  - 2 \times  \frac{1}{5}  =  -  \frac{2}{5}  \\ from \: general \: equation \\ a {x}^{2}  + bx + c = 0 \\  {x}^{2}  +  \frac{8}{5} x  \: -   \frac{2}{5}  = 0 \\ 5 {x}^{2}   \:  +  \: 8x \:  - 2 \:  =  \: 0

7 0
3 years ago
Graph and label the image of the figure below after a dilation by a factor of 1/2.
neonofarm [45]
Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\  \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\  \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\  \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0
1 year ago
Which of the following best describes perpendicular lines
Usimov [2.4K]

Answer:

B.

Step-by-step explanation:

Perpendicular lines always intercept at a right angle (90 degrees).

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3 years ago
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thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Lena [83]

Step-by-step explanation:

Use the method of TOA CAH SOH.

tan(51.3) =  \frac{opp}{adj}  \\  \tan(51.3)  =  \frac{u}{4}  \\ u = 4 \tan(51.3)

cos(51.3)  =  \frac{adj}{hypo}  \\  \cos(51.3)  =  \frac{4}{v}  \\ v \cos(51.3)  = 4 \\ v =  \frac{4}{ \cos(51.3) }

Perimeter of triangle = Sum of all sides =

u \:  +  \: v + 4

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3 years ago
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