Answer:
Step-by-step explanation:
A driver spent 45minutes to cover a distance of 120km
Convert minutes to hour
- 45 min = 45 /60 hr = 3/4 hr
Use the distance equation
Find the speed
Substitute the distance and time value and find the value of speed
- s = 120 / (3/4) = 120 * 4/3 = 160 km /h
(3x2-11x-4)-(x-2)(2x+3)
Final result :
x2 - 10x + 2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(x2))-11x)-4)-(x-2)•(2x+3)
Step 2 :
Equation at the end of step 2 :
((3x2 - 11x) - 4) - (x - 2) • (2x + 3)
Step 3 :
Trying to factor by splitting the middle term
3.1 Factoring x2-10x+2
The first term is, x2 its coefficient is 1 .
The middle term is, -10x its coefficient is -10 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -10 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 10x + 2
Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~
A) this is the simplified form
b)
