Answer:
2/3r + p
Step-by-step explanation:
2/3r + 4/3p - 1/3p
combine like terms, terms with like coefficients can be combined, terms that do not have like coefficients cannot be combined
coefficient- the variable that a number is multiplied by
2/3r + <u>4/3p</u> <u> - 1/3p</u>
combine
2/3r + 3/3p
or
2/3r + p
Answer:
x = 8
Step-by-step explanation:
30x = (60)(40)
30x = 240 Multiply 60 and 40
x = 8 Divide 30 from both sides
<span>4.8 (x+4)=2.6
Use distributive property
4.8x + 19.2= 2.6
Subtract 19.2 from both sides
4.8x = -16.6
Divide 4.8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = -3.458</span>
Answer:
<h3>
(2, 124)</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the equation of the parabola with vertex (h, k)
![f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16x%5E2%2B%2064x%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x%5E2-%204x%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28%5Cunderline%20%7Bx%5E2-2%5Ccdot2x%5Ccdot2%2B2%5E2%7D-2%5E2%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%5Cbig%5B%28x-2%29%5E2-4%5Cbig%5D%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x-2%29%5E2%2B64%20%2B%2080%5C%5C%5C%5C%5Cbold%7Bf%28x%29%3D-16%28x-2%29%5E2%2B124%5Cquad%5Cimplies%5Cquad%20h%3D2%5C%2C%2C%5Cquad%20k%3D124%7D)
<u>The vertex is </u><u>(2, 124)</u>
Answer:
The rise is -5 the run is 4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
4
=
-1.25
θ =
arctan(
ΔY
) + 360°
ΔX
=
308.65980825409°
ΔX = 2 – -2 = 4
ΔY = -1 – 4 = -5
Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328
Equation of the line:
y = -1.25x + 1.5
or
y =
-
5
x
4
+
3
2
When x=0, y = 1.5
When y=0, x = 1.2
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