Answer:
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
Step-by-step explanation:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
Answer:
1.<u> 3rd one</u> 2.<u>4th on</u>e 3. <u>13.4</u> 4. <u>42.4</u>
Step-by-step explanation:
Solution:
Formula of perimeter =
So, 2W + 2H = 32.4 ... (1)
Ratio = 5:4
So,
4W - 5H = 0 ... (2)
Solve equation (1) and (2).
W = 9.0 and H = 7.2
Use the Pythagorean theorem,
D = 11.52
D = 11.5
Hence, the measure of diagonal is 11.5 inches.
Answer:
a ≈ 14.39
Step-by-step explanation:
7² + a² = 16²
49 + a² = 256
49 - 49 + a² = 256 - 49
a² = 207
√a² = √207
a = 14.3874945699
a ≈ 14.39
Answer:
x=4, but y =39 or -1
Step-by-step explanation:
y=7x+11
y=−3x+1
7x+11
+-3x+1
_______=
4x=12
x=3
7(4)+11=39
-3(4)+1=-1