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3 years ago

Help? Please. Thanks???

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

The height is represented by d.

d = 10 feet

$10 = - 16 {t}^{2} - 7t + 61 \\ 0 = - 16 {t}^{2} - 7t + 51$

Use quadratic formula:

t = 1.58, -2.02 (reject)

1.58 seconds

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Using approciate properties find -4/7*3/5+4/7*-1/5+2/5*-4/5

slega [8]

Answer: 0.548

Step-by-step explanation:

First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)

you can do either multiplication or divison whichever comes first, same with addition+subtraction.

the underlined means to simplify

1.-0.57x3/5+4/7x-1/5+2/5x-4/5

2.-1.71/5+4/7x-1/5+2/5x-4/5

3.-0.342+4/7x-1/5+2/5x-4/5

4.-0.342+0.57x-1/5+2/5x-4/5

5.-0.342+0.57x-0.2+2/5x-4/5

6.-0.342+0.114+2/5x-4/5

7.-0.342+0.114+0.4x-4/5

8.-0.342+0.114+-1.6/5

9.-0.342+0.114+-0.32

10.-0.228+-0.32=-0.548

i did this all in one go so......

8 0

3 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

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3 years ago

Brennan made lemonade for the country fair.He has 12 containers of the same size to fill the first 3.How many gallons of lemonad

marissa [1.9K]

The remaining number is 20

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3 years ago

Write four numbers that could be ordered between these numbers 59 through 1,000

Blababa [14]

100, 200, 300, and 400.

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3 years ago

Read 2 more answers

You have decided to wallpaper your rectangular bedroom. the dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch

Papessa [141]

The wall area is the product of the room perimeter and the room height:
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.

_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).

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3 years ago