Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
Answers
y = 5x - 5 is the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10) in slope intercept form
Solution:
Given that line parallel to y - 5x = 10 that passes through the point (3, 10)
To find: equation of line in slope intercept form
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line
y - 5x = 10
y = 5x + 10
On comparing y = 5x + 10 with slope intercept form, we get m = 5
Thus slope of given line is 5
We know that slopes of parallel lines are equal
So the slope of line parallel to given line is also 5
Now we have to find the equation of line with slope m = 5 and passes through point (3, 10)
Substitute m = 5 and (x, y) = (3, 10) in slope intercept form,
10 = 5(3) + c
10 = 15 + c
c = - 5
Thus the required equation is:
Substitute c = -5 and m = 5 in eqn 1
y = 5x - 5
Thus the required equation of line is found
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Answer:
The number of students who actually went for the skiing is 0.75 times the total number of students .
Step-by-step explanation:
Given as :
Students were surveyed about their wither break plans
The percentage of students who did not go for skiing = 25 %
So, The percentage of students who did not go for skiing =100 % - 25 % = 75%
Let The total number of students = x
So, The number of students actually went for the skiing = 75% of the total number of students
I.e The number of students actually went for the skiing = × x
Or, The number of students actually went for the skiing = 0.75× x
∴ The number of students actually went for the skiing = 0.75 x
Hence The number of students who actually went for the skiing is 0.75 times the total number of students . Answer
Answers
2. Unit rate is expression that has quantity of 1, numerator are often dollars or units like miles, km, meters... and denominator often pounds, kg, gram, liters ... So C is correct answer for your question:)
3. To find total money in the bag, 14 + 6 = 20 coins, there are 6 nickels so the expression is
4. Multiply diagnally 12 × 6 = 72, 72÷ 9 = 8, so the answer is A.
5. Divide 96 to 8 to get cost of 1 ticket, $12 , then multiply it by 3, so the answer is B. $36
Hoped I helped:) GOOD LUCK
divide numerator and denominator by 8
answer is 1/4
answer is C
2. 1 week/7 days
answer is A
3. total coins is 20
6/20= 3/10 are nickels
4. 6/x=9/12
cross multiply
9x= 72
x=8
Answer is A
5. 96/8=12
each ticket cost $12
3 tickets will be $36
Answer is B
Hope this helps
Answers
Answers
Answer: F=40 or other words n=40
Step-by-step explanation:
F= n/4 + 37
F= 12/4 + 37
F= 3 +37
F =40
Hope this helped! ;)
x=?
What does x have to be for the answer to be 0?
Answers
x² + 9x= 0
now here a = 1 , b = 9 and c = 0
by using quaderatic formula
x = -b +,-√b ²- 4ac / 2a ( 2a is divided by all terms )
by putting values
x = - 9 +,- √81 / 2(1) ( √81 = 9)
x = -9 + 9 / 2 and x = -9 -9 /2
x = 0 and x = -18 /2 = -9
now there are two values for x one is- 9 and other is 0
so we put -9 as the value of x then answer will be zero..
I really don't understand
Answers
-9/2 is equal to -4.5 so you plot a point on -4.5
10/2 = 5
The first point would be 5.
-9/2 = -4.5
The second point would be -4.5