Answer:
4.5 units
Step-by-step explanation:
The formula given is used to calculate the length of a segment given the coordinates of the endpoints.
let (x₁, y₁ ) = A(-1, 1) and (x₂, y₂ ) = (3,3), then
AB = 
= 
= 
= 
≈ 4.5 ( nearest tenth )
Answer:
0.25 ounces
Step-by-step explanation:
There are 28.3495 grams in an ounce. So we can create a ratio 
. With this we can simplify into 
by multiplying both sides by x and then dividing both sides by 28.3495. This simplified would leave you with 0.25 ounces (rounded to hundredths)
Brainliest would be appreciated!
Answer:
The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .
Step-by-step explanation:
Given:
The car can travel 25 miles per gallon. (1 mile = 1.6 km)
Now, we need to convert 25 miles into km .
25 miles = 25 × 1.6 km
= 40 km
So, the car can travel 40 km per gallon.
Then, we find out in 1 km how many gallons are used:
Now, we find out how much gallons of fuel will the car need to travel 30 km:
Gallons of fuel the car need to travel 30 km = 
= 
.
Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
