9514 1404 393
Answer:
obtuse
Step-by-step explanation:
You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.
The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.
The triangle is obtuse.
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Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).
In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:
hypotenuse = √(6² +8²) = √100 = 10
Your long side is longer, so your largest angle is larger than 90°.
Law of Cosines:
angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°
- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126
Answer:
the 3rd one matches the number line
Step-by-step explanation:
the pointy part of the sign shows which way the line will go. if it has the line under the sign the dot on the number line is solid if not solid then it won't have a line
Answer:
y = 1/5 x + 12/5
Step-by-step explanation:
We are looking for the equation of a line.
We satart with the slope-intercept form of the equation of a line.
y = mx + b
We need to find m, the slope, and b, the y-intercept.
The given line is y = 1/5 x - 3.
Its slope is 1/5.
Parallel lines have equal slopes, so the slope we need is also 1/5.
Now we have for our line
y = 1/5 x + b
Now we find b.
We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.
2 = 1/5 * (-2) + b
10 = -2 + 5b
12 = 5b
b = 12/5
Now that we know the y-intercept, we can write the equation of the line.
y = 1/5 x + 12/5
Answer:
3
Step-by-step explanation:
