Answer:
<h2>(4, -6)</h2>
Step-by-step explanation:
The formula of a midpoint of the segment AB:
We have A(7, -2) and B(1, -10). Substitute:
The ratios that have a unit rate of 5 will be:
6 1/4 kilometers to 1 1/4 minutes.
1 kilometer to 1/5 minutes
1/3 kilometers to 1 2/3 minutes
<h3>How to calculate the value?</h3>
The ratios will be:
1. 6 1/4 to 1 1/4
= 6.25 : 1.25
= 5
2. 4 1/2 to 2
= 4 1/2 / 2
= 2.25
3. 4/5 to 5 minutes
4. 1 kilometer to 1/5 minutes
= 1 : 1/5
= 1 / 0.2
= 5
5. 3 1/10 : 3/10
= 10
6. 1/3 : 1 2/3
= 5
Therefore, the correct options are 1, 4 and 6.
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Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
The slope of two parallel lines are equal.
Let us find slope of given equation.
The general slope intercept form is given by :
where m is slope
our equation is :
Now we have to convert our equation into slope intercept form.
let us try to isolate y on the left side.
taking 5x to the right side we have ,
dividing both sides by -15,
coefficient of x is slope,
so slope is 1/3
slope of line parallel to it is also same that is 1/3 .
Correct option is D.
Answer:
Step-by-step explanation:
P(B)=7/(2+7+7)
P(B)=7/16
P(B)=0.4375
