She can travel 3000 miles
Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
Answer:
See explanation. (Also you can write an equation several different ways so without the choices I cannot tell you which)
Step-by-step explanation:
Slope-intercept form is y=mx+b
So one way to write the equation is y=-3/4 x +3/2
There are more ways to write it.
Every line about to write is a way to write it.
Multiply both sides by 4: 4y=-3x+6
Add 3x on both sides: 3x+4y=6
Subtract 6 on both sides: 3x+4y-6=0
There are a lot of ways to write an equation like this.
To better assist you I would need to see options.
The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.