Answer:
Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.
Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.
Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3
Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9
Add.
This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
Answer:
The method used is substitution method
x = 2, y = -6
Step-by-step explanation:
Given the simultaneous equation
Y = −3x ..... 1
4x + y = 2 ... 2
Substitute equation 1 into 2
4x + (-3x) = 2
4x - 3x = 2
x = 2
Get y:
y = -3x
y = -3(2)
y = -6
<em>Hence the value of (x, y) is (2, -6)</em>
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Answer:
$37.50
Step-by-step explanation:
30 x 1.25 = 37.5
^(25% increase)
Answer:
105°
Step-by-step explanation:
We are supposed to find the angle between the hour hand and the minute hand at a time of 2:30 in a 12 hour analog clock.
So, we have 12 segments in a clock , each segment corresponding to an hour.
Angle of each segment would be :-
At 2:30 the minute hand will be facing 6 hour direction and the hour hand between hours 2 and 3.
So the angle between them would be
So the angle between the hour and the minute hand at time 2:30 is 105°.
