Em dois retângulos semelhantes, a ampliação foi de 10 cm por 12 cm, para 20 cm por 24 cm, qual a razão de semelhança (K)?
1 answer:
You might be interested in
a. The equation that relates Ann's age (x) and Tom's age (y) is a line
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:
Substituting with m = 1 and the point (4, 8) into the general equation, we get:
8 = 1(4) + b
8 = 4 + b
8 - 4 = b
4 = b
Finally, the equation that compares Tom's and Ann's age is:
y = x + 4
b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:
y = 0 + 4
y = 4
then, the point (0, 4) is on the line. And we can also use the point (4,8)
Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is , where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:
The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:
The height of the triangle is 60 centimeters.
Answer:
Either, , -0.75, or 4x = -3!
Step-by-step explanation: