Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
You would distibute first distribute
6x-10=8
add 10 on both sides
6x=18
Then you divide 6 on both sides to get x by itself so
x=3
Answer:
3a-12c
Step-by-step explanation:
(5a-7c)-(2a+5c)
5a-7c-2a-5c
(5a-2a)+(-7c-5c)
3a-12c
Answer:
500 milligrams (mg)
Step-by-step explanation:
1 Gram (g) is equal to 1000 milligrams (mg). To convert grams to milligrams, multiply the gram value by 1000. For example, to convert 2 grams to mg, multiply 2 by 1000, that makes 2000 mg is 2 grams.
Answer:
The probability of the event that first ball that is drawn is blue is 
.
Step-by-step explanation:
Probability:
If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is
Given that,
An urn contains two balls B₁ and B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.
Total number of ball =(2+3) =5
The number ways of selection 2 ball out of 5 ball is
=5²
=25
Total outcomes = 25
List of all outcomes in the event that the first ball that is drawn is blue are
B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ , B₂W₁ , B₂W₂ , B₂W₃
The number of event that the first ball that is drawn is blue is
=10.
The probability of the event that first ball that is drawn is blue is
