Answer:
D) 40 miles
Step-by-step explanation:
First we must find the distance between the mall and the house. The figure formed is a right triangle. The length of the side from the mall to the house forms the hypotenuse of the triangle. We can use the Pythagorean theorem to find the length:
a² + b² = c²
The two legs of the triangle, a and b, are 15 and 8:
15² + 8² = c²
225 + 64 = c²
289 = c²
Take the square root of each side:
√289 = √(c²)
17 = c
This makes the total distance
15+8+17= 40 miles
Answer:
B and C
Step-by-step explanation:
Required
Select graphs that are dilated by a scale factor greater than 1
For graph A:
Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1
For graph B:
Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph C:
Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1
For graph D:
Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).
<em>Hence, b and c is true</em>
Answer:
y = -5x + 1
Step-by-step explanation:
y - 6 = -5 (x + 1)
distribute -5 (x + 1) by multiplying
y - 6 = -5x - 5
than add 6 to both sides
y = -5x + 1
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:
Yes! The equation, y = 12x + 28 , work.
Step-by-step explanation:
The line passes through points (-1, 16) and (5, 88)
The slope of the line = change in y ÷ change in x
i.e slope = 
= 12
Taking another point (x ,y) on the line;
Slope is 
= 12
y - 16 = 12x + 12
y = 12x + 12 + 16
y = 12x + 28
So the equation, y = 12x + 28, work!
