Answer:
x=9
Step-by-step explanation:
To solve for x, you can set up a proportion between the 2 triangles we see.
The small triangle can be written as 
, and the large triangle can be written as 
.
Set both proportions equal to each other.
Cross multiply and solve for x.
32x+272=560
32x=288
x=9
So we multiply both sides by 7 to make 2/7 a whole number. You get 2(4q+7/2)-21q=63. Then take 4q+7/2 out of parentheses and you get 8q+7-21q=63. Subtract 7 on both sides and add the q’s together, -13q=56. Divide both sides by -13 and you get around 4.3
Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Answer:
(2, 4)
Step-by-step explanation:
To find the solution, set the equations equal to each other, then solve for x:
6x - 8 = -3x + 10
9x - 8 = 10
9x = 18
x = 2
Now, find the y value by plugging in 2 as x into one of the equations, and solve for y:
y = 6x - 8
y = 6(2) - 8
y = 12 - 8
y = 4
So, the solution as an ordered pair is (2, 4)
Answer:
Its 58
Step-by-step explanation:
Because the bigger triangle is a dilation of the smaller one. In other words only the sides get bigger, the angles stay the same.
