Please help! thank you
2 answers:
9514 1404 393
Answer:
y = (-7/3)x +3
Step-by-step explanation:
The line has a negative slope (eliminating choices B and C) that is steeper than a line with a slope of -1, The only answer choice with a negative slope less than -1 is choice D.
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The slope is the coefficient of x. It is "rise"/"run". Here, the line goes through grid points (0, 3) and (3, -4), so drops 7 units (rise=-7) for each 3 units to the right (run=3). Then the slope is rise/run = -7/3.
The line crosses the y-axis at y=3, so the slope-intercept equation is ...
y = mx + b . . . . . . . . slope = m; y-intercept = b
y = (-7/3)x +3
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Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°