Answer:
The equation of a line with the slope of 1/4 that passes through the point (-8,2) is
Solution:
Given, slope of a line is and a point is (-8, 2)
We have to find the line equation with above given values.
Now, we know that, point slope form of a line is
Where, m is slope of line and
Here in our problem,
So, substitute above values in general form.
4(y – 2) = (x + 8)
4y – 8 = x + 8
x – 4y + 8 + 8 = 0
x – 4y + 16 = 0.
4y = x +16
Hence the equation of a line with the slope of 1/4 that passes through the point (-8,2) is
Answer:
y = 1/4x + 4 or y - 2 = 1/4(x + 8)
The weight of the object on mars when the weight on earth is 95 lb is 38 lb.
We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part-to-part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.
Given weight on earth = 10 lb
weight on mars = 4 lb
so weights are in ratio = 10/4
when weight on earth = 95 lb
then weight on mars be x
95/x
since both weights are of earth and mars then they are in proportion,
10/4 = 95/x
x = 95 x 4/10
x = 38 lb
Hence weight on mars is 38 lb.
Learn more about ratios;
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Given:
Side length of larger square = 10 in
Side length of smaller square = 5 in
To find:
The probability that this point is in the shaded area.
Solution:
Area of square formula = side²
Area of larger square = 10²
= 100 in²
Area of smaller square = 5²
= 25 in²
Shaded area = Area of larger square - Area of smaller square
= 100 in² - 25 in²
Shaded area = 75 in²
= 0.75
The probability of point in shaded area is 0.75.
Answer:
0.75
Step-by-step explanation: