Answer:
Perhaps, she is interested in finding the area enclosed by this triangular park.
Step-by-step explanation:
The area of the triangle enclosed by the three points
A(1,1), B(1,4) and C(-3,4) in this question will be given by
|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2
=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units.
3x5=$15
15+10=$25 total to spend
He spends 12.75+8.5= $21.25
25-21.25=$3.75 left
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
Answer:
1. 30j+12+6j
2. 36j+12
3. 6(6j+2)
Step-by-step explanation:
1. You just multiply so... 6x5j ... 6x2 ... 6xj
2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12
3. you do what's in the parentheses first so 5j+j=6j so .... 6(6j+2)
6 over negative 10, because you just multiply the numerator and denominator by 2
