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Nikolay [14]
3 years ago
14

What is (2x + 5) + 3 < 22 ?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
Inequality Form : x < 7
Interval Notation: (-∞, 7)
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The line perpendicular to y= (-3/2)x -4 and goes through (1,4)
Paladinen [302]

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

y-4 = \frac{2}{3}(x-1)

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, y = -\frac{3}{2} x-4. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since -\frac{3}{2} is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be \frac{2}{3}.  

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) to write the new equation with the given information. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute \frac{2}{3} in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for x_1 and 4 for y_1. This gives the following equation and answer:

y-4 = \frac{2}{3}(x-1)

3 0
3 years ago
What minimum information about a triangle allows you to draw exactly one triangle
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4. Side - Side - Side and
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3 years ago
What is the circumference of a circle with a radius of 56 ?
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myrzilka [38]

Answer:

Step-by-step explanation:

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25^2 + 27^2 = 48^2

625+729=2304

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This is not true, so this is not a right triangle

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3 years ago
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