Answer:
y = -4.
Step-by-step explanation:
The line with equation y = 4 is a horizontal line on the coordinate plane which passes through the y-axis at y = the point (0, 4).
The other line parallel to this must also be horizontal and , as it passes through the point (1 , -4), must also pass through the y-axis at ( 0, -4). The equation of this line is y = -4.
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99
LCM between 10 and 19 is 190.
First we can find the prime factorization of 10:
2 * 5.
Prime factorization of 19:
19.
2 * 5 * 19 = 190
The area of the circle = π r² = π (d/2)²
Where r is the radius of the circle
And d is the diameter of the circle
d = 2r OR r = d/2
given d = 10 in ∴ r = d/2 = 10/2 = 5 in
∴ The area of the circle = π r² = π * 5² = 25π ≈ 78.54 in²
The correct answer is the fourth option 78.54
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very important note:
There is a mistake in the dimension of the answers.
The dimension of the given diameter is inch , while the dimensions of the answers is square cm.
If it is required to find the area in square cm
∵ 1 inch = 2.54 cm
∴ r = d/2 = 10/2 = 5 in = 5 * 2.54 cm = 12.7 cm
∴ Area = π r² = π * (12.7)² = 161.29π ≈ 506.7 square cm
Answer:
1) 
2) 
3) 
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒ 
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒
