Answer:
y = 2x - 12
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 )
Rearrange 3 + 4x = 2y - 9 into this form
add 9 to both sides
12 + 4x = 2y ( divide all terms by 2 )
6 + 2x = y ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (4, - 4) into the partial equation
- 4 =8 + c ⇒ c = - 4 - 8 = - 12
y = 2x - 12 ← equation of parallel line
Answer:
x = 2
Step-by-step explanation:
5x + 2 = 12
Subtract 2 from both sides
5x + 2 - 2 = 12 - 2
Simplifying
5x = 10
Divide both sides by 5
5x / 5 = 10/5
Simplifying
x = 2
Answer:
It will be 60 pixels high and 75 pixels wide
Step-by-step explanation:
As
- The space allowed for the mascot on a school's Web page is 75 pixels wide by 60 pixels high
- Its digital image is 500 pixels wide by 400 pixels high
So, the expression becomes
Therefore, it will be 60 pixels high and 75 pixels wide
Keywords: pixel, ratio
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Answer:
the answer is B
Step-by-step explanation:
75 is a one time payment. 25 is the amount that you will pay permonth
The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
