Answer:
acute
Step-by-step explanation:
straight is just a straight line, 180 degrees perhaps
right is exactly 90 degrees
obtuse is over 90 degrees
Answer:
Option C is correct.
She is not correct as she use the wrong y intercepts when graphing the equations.
Step-by-step explanation:
Given the system of equations:
.....[1]
. .....[2]
equate these two equations we get;
![\frac{2}{3}x-5=-2x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx-5%3D-2x%2B3)
Add 5 to both sides we get;
![\frac{2}{3}x = -2x+8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%20%3D%20-2x%2B8)
Add 2x to both sides we have;
![\frac{8}{3}x = 8](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7Dx%20%3D%208)
Multiply both sides by 3 we get;
8x = 24
Divide both sides by 8 we get;
x = 3
Substitute the value of x in [2] we have;
y = -2(3)+3 = -6+3
Simplify:
y = -3
Therefore, the correct solution for this given system of equation is (3, -3)
You can see the graph of these equations below.
the ratio of squares to shapes is 2:5
Answer:
![\boxed{x > -7}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3E%20-7%7D)
Step-by-step explanation:
![\begin{array}{rcll}-2x +8 + 5x & > & 2x + 1 & \\3x + 8 & > & 2x + 1 & \text{Simplified}\\x + 8 & > &1 & \text{Subtracted 2x from each side}\\x & > & -7 & \text{Subtracted 8 from each side }\\\end{array}\\\boxed{\mathbf{x > -7}} \text{ satisfies the inequality}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D-2x%20%2B8%20%2B%205x%20%26%20%3E%20%26%202x%20%2B%201%20%26%20%5C%5C3x%20%2B%208%20%26%20%3E%20%26%202x%20%2B%201%20%26%20%5Ctext%7BSimplified%7D%5C%5Cx%20%2B%208%20%26%20%3E%20%261%20%26%20%5Ctext%7BSubtracted%202x%20from%20each%20side%7D%5C%5Cx%20%20%26%20%3E%20%26%20-7%20%26%20%5Ctext%7BSubtracted%208%20from%20each%20side%20%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Cboxed%7B%5Cmathbf%7Bx%20%3E%20-7%7D%7D%20%5Ctext%7B%20satisfies%20the%20inequality%7D)
The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.
Step-by-step explanation:
The given is,
Moving rate, r = 60 km/h
Time, t = 150 minutes
Step:1
We need to find the distance traveled by the vehicle,
From given the formula is
D = rt
Where,
D = Distance in Km
r = Moving rate in Km/h
t = Time in hours
Step:2
We need to convert the time minutes to hours
t =
hours
t = 2.5 hours
Step:3
Distance traveled by the vehicle is,
D = 60 × 2.5
= 150
D = 150 Km
Result:
The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.