All of the side lenghts of the smaller triangles have been multiplied by 2 which guarantees side side side similarities. (basically similar angles shows congruence when their sides are proportional)
Answer:
Slope = 1/2
y-intercept = 30
Equation : y = 1/2x + 30
D. 150 miles
Step-by-step explanation:
We can use the two visible points you marked on the graph.
They are (0,30) which is also the y-intercept and (20,40).
Calculate change of y over change of x.
10/20 or 1/2
So the slope is 1/2 and the y-intercept is 30.
Therefore, using y = mx + b form, the equation is y = 1/2x + 30
Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.
105 = 1/2x + 30
75 = 1/2x
x = 150
Answer:
graph of h(x)= a slope of 2, and the y-intercept is 0.
graph of g(x)= a slope of 1, and a y-intercept of 6.
graph of f(x)= a slope of 1, and a y-intercept of -6.
Step-by-step explanation:
The equation would be h(x)=(x-6)+(x+6) which is also equal to h(x)= 2x if you combine like terms. f(x) and g(x) equations are pretty straight forward.
Hello there,
Okay well first we right down what we already know:
- volume of 2,355 cubic inches
- the height is 10 inches
Now we write down the equation for the volume of a cone: V = πr²
- lets plug in what we know into the equation
2,355 = πr²
- now we simplify to solve for r
2,355 / 10/3 = 706.5 = πr²
706.5/π = r²= 224.89
- now since its r² we take the square root of 224.89
r = 15 inches
- for diameter we multiply 15 by 2
diameter = 30 inches
Hope I helped,
Amna