Answer:
y−4=−7(x−1)
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Your given line has a slope of -7. The parallel line will have the same slope.
So, you want to fill in the above form with m=-7, (h, k) = (1, 4):
y -4 = -7(x -1)
Step-by-step explanation:
ok i know the answer 1+1=2
Answer:
The size of side x can range from 0.5 < x < 16.5.
The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.
Step-by-step explanation:
Complete Question
What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.
Solution
With the logical assumption that the three sides are to form a triangle
Let the two sides given be y and z
And the angle between y and z be θ
The angle θ can take on values from 0° to 180° without reaching either values.
As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y
It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.
Hence, x > (z−y)
x > 8.5 - 8.0
x > 0.5
As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).
Hence x < (y+z)
x < 8 + 8.5
x < 16.5
Hope this Helps!!!
Answer:
23°, 54°, 103°
Step-by-step explanation:
let the2nd angle = x
1st angle = x + 31
3rd angle = 2(x + 31) - 5 = 2x + 62 - 5 = 2x + 57
Sum the 3 angles and equate to 180
x + 31 + x + 2x + 57 = 180 , that is
4x + 88 = 180 ( subtract 88 from both sides )
4x = 92 ( divide both sides by 4 )
x = 23
Then
1st angle = x + 31 = 23 + 31 = 54°
2nd angle = x = 23°
3rd angle = 2x + 57 = 2(23) + 57 = 46 + 57 = 103°
Answer:
$66 for 6 cars.
Step-by-step explanation:
This is a rather simple problem. To find the answer you must divide 44/4= 11. Now knowing that Chris earns $11 per car if you multiply 11x6= 66 you can find out Chris makes $66 for 6 cars.