Pls help with these questions, u don’t have to do both but it will help if u do :D thankss (will give brainliest)
Answers
Answer 1
Answer:
To find the length of the sides of the isosceles triangle with vertices at A(1, -2), B(-5, 2), and C(2, 6), we need to calculate the distances between the points.
Let's first find the distance between points A and B:
Distance AB = √[(x2 - x1)^2 + (y2 - y1)^2] Distance AB = √[(-5 - 1)^2 + (2 - (-2))^2] Distance AB = √[(-6)^2 + (4)^2] Distance AB = √[36 + 16] Distance AB = √52 ≈ 7.21 (rounded to 2 decimal places)
Next, let's find the distance between points B and C:
Distance BC = √[(x2 - x1)^2 + (y2 - y1)^2] Distance BC = √[(2 - (-5))^2 + (6 - 2)^2] Distance BC = √[(7)^2 + (4)^2] Distance BC = √[49 + 16] Distance BC = √65 ≈ 8.06 (rounded to 2 decimal places)
Finally, let's find the distance between points C and A:
Distance CA = √[(x2 - x1)^2 + (y2 - y1)^2] Distance CA = √[(1 - 2)^2 + (-2 - 6)^2] Distance CA = √[(-1)^2 + (-8)^2] Distance CA = √[1 + 64] Distance CA = √65 ≈ 8.06 (rounded to 2 decimal places)
Since the isosceles triangle has two sides with the same length, the length of these sides is approximately 8.06 units (rounded to 2 decimal places).
To find the coordinates of the point where the line 2x + y = 11 crosses the x-axis, we need to set y to 0 and solve for x.
When y = 0, the equation becomes:
2x + 0 = 11
Now, isolate x:
2x = 11
x = 11 / 2
x = 5.5
So, the point where the line crosses the x-axis has coordinates (5.5, 0).
Evan Amos Evaluate Quadratic Functions Given f(x)=-x² +9x+11, find f(-3)
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f(-3) = 25, you get this by replacing all x’s in the equation with -3
An electrician charges a $20 house call fee plus $30 per hour of work. Which equation represents this relationship?An electrician charges a $20 house call fee plus $30 per hour of work.
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Answer:
20+30h
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Find the value of y if given: 20y-2, 17y +3, 5x + 8, 21x
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20y-2= 20y=2 20y/20=2/20 y=0.1
17y +3= 17y=-3 17y/17=-3/17 y=-0.176
The total rainfall in Forks, Washington, this October was 8 3/8 in. In September, 60% less rain fell than in October.How much rain fell in September in Forks, Washington?
Express your answer as a mixed number in simplest form.
Answers
Given: October: 8 3/8 inches September : 60% less rain fell than in October.
This means that only 40% rain fell in September based on the amount of rain that fell in October.
8 3/8 ⇒ (8*8)+3/8 = 67/8 40% is 4/10
67/8 * 4/10 = 268/80 = 3 28/80 or 3 7/20 or 3.35
28 ÷ 2 = 14 80 ÷ 2 = 40 14 ÷ 2 = 7 40 ÷ 2 = 20
In September 3 7/20 inches or 3.35 inches of rain fell.
If you would like to know how much rain fell in September, you can calculate this using the following steps:
60% of 8 3/8 in. = 60% * 8 3/8 = 60/100 * 67/8 = 201/40 = 5 1/40 in.