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3 years ago

What is the solution to the inequality -x/10>-11

Mathematics

2 answers:

Vladimir [108]3 years ago

4 0

Answer:

x<110

Step-by-step explanation:

-x/10>-11

-x>-11*10

-x>-110

x>110

x<110

Inessa [10]3 years ago

4 0

Answer:

x > - 110

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than a sign from both sides of the inequality :

x / 10 - ( -11 ) > 0

Simplify ——

—— - -11 > 0

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 10 as the denominator :

-11 -11 • 10

-11 = ——— = ————————

1 10

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-11 • 10) x + 110

——————— = ———————

10 10

x + 110

——————— > 0

Multiply both sides by 10

Subtract 110 from both sides

x > -110

Inequality plot for

0.100 x + 11.000 > 0

x > -110

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Paraphin [41]

Slope-intercept form:

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For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

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$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

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7.) Perpendicular line's slope is -2

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5 0

3 years ago

In the triangle, find x, y, u, v

igomit [66]

x=9 units, y=12 units, u=24 units and v=32 units

Step-by-step explanation:

The question is on similarity.

The ratio of corresponding sides should be equal for the triangles to be similar.

Finding x

20/5=(3+x )/3

apply cross product

60=15+5x

60-15=5x

45=5x

45/5=x

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Finding y

20/5=(4+y)/4

Apply cross product

80=20+5y

80-20=5y

60=5y

60/5 =y

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Finding u after replacing values of x and y

60/20 = (12+u)/12

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720=240 +20 u

720-240 =20u

480 =20 u

480/20 =u

24 =u

Finding v after replacing values of x and y

60/20 = (16+v)/16

perform cross product

960=320+20v

960-320 = 20v

640=20v

640/20 =v

32= v

Learn More

Ratio of sides in similar triangles :brainly.com/question/11717086

Keywords ; triangle, find, x,y,u,v

#LearnwithBrainly

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Step-by-step explanation:

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3 years ago

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Answer:

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4 years ago

What is 2(9x+3)+5x=48+2x

kati45 [8]

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3 years ago

What is the solution to the inequality -x/10>-11​

What is the solution to the inequality -x/10>-11