Find the area of the figure shown below and choose the the appropriate results.

Answer:A. h(t) = -16(t - 403)^2 + 3

B. h(t) = -16(t - 5)^2 + 3

C. h(t) = -16(t - 3)^2 + 403

D. h(t) = -16(t - 5)^2 + 403

Step-by-step explanation:

Answer:

Step-by-step explanation:

12

Answer:

y= -12

Step-by-step explanation:

4x+8 = -x+3 -> Find x by  using all information

5x=-5  -> Simplify

x=-1   -> Solve

y=-12  -> Plug in to find y

Answer:

AD = 3

BD = 10

CD = 17

Step-by-step explanation:

The requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Considering triangle BDC, we have:

[tex]BC^2 = BD^2 +CD^2[/tex]

This gives

[tex]24^2 = BD^2 +(25 - AD)^2[/tex]

[tex]576 = BD^2 +(25 - AD)^2[/tex] --------- (1)

Considering triangle ABD, we have:

[tex]7^2 = BD^2 + AD^2[/tex]

[tex]49 = BD^2 + AD^2[/tex] ---- (2)

Subtract (2) from (1)

[tex]576 - 49 = BD^2 -BD^2 +(25 - AD)^2 - AD^2[/tex]

[tex]527 = (25 - AD)^2 - AD^2[/tex]

Expand

[tex]527 = 625 - 50AD + AD^2 - AD^2[/tex]

[tex]527 = 625 - 50AD[/tex]

Collect like terms

[tex]50AD = 625 - 527[/tex]

[tex]50AD = 98[/tex]

Divide both sides by 50

[tex]AD = \frac{98}{50}[/tex]

Reduce fraction

[tex]AD = \frac{49}{25}[/tex]

Recall that:

[tex]49 = BD^2 + AD^2[/tex]

So, we have:

[tex]49 = BD^2 + (49/25)^2[/tex]

[tex]49 = BD^2 + 2401/625[/tex]

Collect like terms

[tex]BD^2 = 49 - 2401/625[/tex]

Take LCM

[tex]BD^2 = \frac{625 *49 - 2401}{625 }[/tex]

[tex]BD^2 = \frac{28224}{625}[/tex]

Take the square roots of both sides

[tex]BD = \frac{168}{25}[/tex]

Also, we have:

[tex]CD = 25 - AD[/tex]

This gives

[tex]CD = 25 - \frac{49}{25}[/tex]

Take LCM

[tex]CD = \frac{625 - 49}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Hence, the requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

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Answer:

y = + 1x - 4y

Step-by-step explanation:

This could be the wrong way of writing it but thats the pattern ❤

Answer:

Step-by-step explanation:

y = + 1x - 4y

Answer:

1. x=6 y=7

hope that helps!

Answer:

In ko add krne k baad 10 se multiple kro

Answer:

If the sum of two numbers is 128band their difference is 16 then find the number

Answer:

it is the first one

Step-by-step explanation:

Answer:  

x = 7

Perimeter = 44

Step-by-step explanation:

All 4 sides of a rhombus are congruent so their lengths are equal.

Therefore, 2x - 3 = x + 4  or x = 7

The length of the side x + 4 = 11

The perimeter is 4 x 11 = 44

Answer:

around 6 and a half pounds

Answer:

he would have spent 10 hours on the piano.

Step-by-step explanation:

every time he practices he practices two more hours on the piano then on the trumpet times that by two and you have your answer

Answer:

161.50

Step-by-step explanation:

Answer:

take $190 and multiply it by 0.15 (28.5) and subtract that from $190= $161.50

Step-by-step explanation:

PLZ MAKE ME BRAINLIEST TRYNG TO REACH TOP RANK ON LEADER BOARD

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

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Answer:

Step-by-step explanation:

2.8 + 6.5 = 9.3

Answer:

9.3

Step-by-step explanation:

2.8+6.5=9.3

You'd use addition to solve this

Answer:

1 : 6

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 10 cm

Height (h) = 15 cm

Ratio of TSA and CSA =?

Next, we shall determine the total surface area (TSA) of the cylinder. This can be obtained as follow:

Radius (r) = 10 cm

Height (h) = 15 cm

Pi (π) = 3.14

Total surface area (TSA) of the cylinder =?

TSA = 2πr(r + H)

TSA = 2 × 3.14 × (10 + 15)

TSA = 6.28 × 25

TSA = 157 cm²

Next, we shall determine the curve surface area (CSA) of the cylinder. This can be obtained as follow:

Radius (r) = 10 cm

Height (h) = 15 cm

Pi (π) = 3.14

Curve surface area (CSA) of cylinder =?

CSA = 2πrh

CSA = 2 × 3.14 × 10 × 15

CSA = 942 cm²

Finally, we shall determine the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder. This can be obtained as follow:

TSA = 157 cm²

CSA = 942 cm²

Ratio of TSA and CSA =?

TSA : CSA = 157 / 942

TSA : CSA = 1 / 6

TSA : CSA = 1 : 6

Thus, the ratio of the total surface area (TSA) and curve surface area (CSA) of the cylinder is 1 : 6

Answer:3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Distance = √(x2 - x1)² + (y2 - y1)²

√(5 - 3)² + (-2 - 1)²

√13 = 3.605

good luck, i hope this helps :)

Answer:

35 miles

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

2.5 x 14

Answer:

Step-by-step explanation:

Answer: 5 over 5

Step-by-step explanation:

Answer:

the slope is 5/4

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Given :

a parabola with the focus at (0, -1) and the directrix y= 1

The standard equation of parabola is  [tex]y-k=\frac{1}{4p} (x-h)^2[/tex]

Focus is at (0,-1)

The midpoint of focus and directrix is the vertex

Directrix is at y=1

Midpoint of (0,-1)  and y=1 is (0,0)

So the vertex is (0,0) that is our (h,k)

Now we find the value of p

The distance between vertex (0,0)  and focus (0,-1) is the value of p

focus  and vertex are 1 unit away. So p=-1

we got h=0 and k=0 and p=-1

Replace all the value in the standard equation

[tex]y-0=\frac{1}{4(-1)} (x-0)^2\\y=\frac{-1}{4} x^2\\4y=-x^2\\x^2=-4y[/tex]

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

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Answer:

=20x2−1080x

Step-by-step explanation:

Because look =(4x)(5x+−270)

=(4x)(5x)+(4x)(−270) then you will get =20x2−1080x

Step-by-step explanation:

a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

Answer:

16 is the mean

Step-by-step explanation:

I gave you the answer, no problem..

Answer:

Obtuce scalene

Step-by-step explanation:

Answer:

x ≈ 7.7

Step-by-step explanation:

Using Pythagoras' identity on the right triangle on the right side

let the third side be y , then

y² + 4² = 10²

y² + 16 = 100 ( subtract 16 from both sides )

y² = 84

Using Pythagoras' identity on the right triangle on the left side

x² + 5² = y²

x² + 25 = 84 ( subtract 25 from both sides )

x² = 59 ( take the square root of both sides )

x = [tex]\sqrt{59}[/tex] ≈ 7.7 ( to the nearest tenth )

Answer:

5+8

Step-by-step explanation:

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x       -x

5x+2 = x-13

    -2        -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5   ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1       +1

y = -8

Answer:

i think its the second one

Step-by-step explanation: