I NEED HELP ASAP!!!!

The vertex of the parabola is at the point (2,-5). which of the equations below could be the one for this parabola?

timofeeve [1]

Hello,
Answer is Dsince y=k(x-2)²-5 and if k=1 ==>D.

7 0

3 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

In a small town, the use of coal (W in tons/per

zimovet [89]

Answer:

i)W = 2500 / T

ii) W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i) Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if W is use of coal in tons/per month then

W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k = ?? we know that when T = 25° W = 100 tons the by subtitution

W = k/T 100 = k /25 k = 2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W = DW(t)/dt î

grad W = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î

iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical

5 0

3 years ago

Help please <br><br> look at picture <br><br> supplementary angles

8_murik_8 [283]

Answer:

x=16

Step-by-step explanation:

....,...................

5 0

3 years ago

Solve the system of linear equations by substitution

Bond [772]

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).

5 0

3 years ago