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3 years ago

9

a tabletop in the shape of a trapezoid has a area of 5,510 square centimeters. It’s longer base measures 127 centimeters, and th

e shorter base is 105 Centimeters. What is the height?

1 answer:

givi [52]3 years ago

6 0

Answer:MWasearch it up

Step-by-step explanation:

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A student group maintains that the average student must travel for at least 25 minutes in order to reach college each day. the c

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Use the app photomath from appstore
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3 years ago

Give the properties for the equation -2x 2 - y + 10x - 7 = 0.

Sladkaya [172]

Given:

The quadratic equation is

$-2x^2-y+10x-7=0$

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

We have,

$-2x^2-y+10x-7=0$

It can be written as

$-2x^2+10x-7=y$

$y=-2x^2+10x-7$ ...(i)

Here, $a=-2,b=10,c=-7$ .

$\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}$

$\dfrac{-b}{2a}=\dfrac{-10}{-4}$

$\dfrac{-b}{2a}=\dfrac{5}{2}$

Putting $x=\dfrac{5}{2}$ in (i), we get

$y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7$

$y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7$

$y=\dfrac{-50}{4}+25-7$

$y=\dfrac{-25}{2}+18$

On further simplification, we get

$y=\dfrac{-25+36}{2}$

$y=\dfrac{11}{2}$

So, the vertex of the given quadratic equation is $\left(\dfrac{5}{2},\dfrac{11}{2}\right)$ .

Therefore, the correct option is A.

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2 years ago

What should be added to both sides of the equation below to complete the square?

Sveta_85 [38]

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17

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3 years ago

A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in w

Mumz [18]

98 days = (98 ⁄ 7) weeks = 14 weeks

<span>Po = initial population = 5 </span>

<span>Ƭ = doubling time in weeks </span>

<span>t = elapsed time in weeks </span>

<span>P{t} = population after "t" weeks </span>

<span> P{t} = (Po)•2^(t ⁄ Ƭ) </span>

<span> P{t} = (Po)•2^(t ⁄ 4) </span>

<span> P{t} = 5•2^(t ⁄ 4) </span>

<span> P{14} = (5)•2^(14 ⁄ 4) … t = 14 weeks = 98 days </span>

<span> P{14} = 56 … population after 14 weeks</span>

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3 years ago

3.7 ÷ 1.1 = ? Round to the nearest hundredth.

noname [10]

The answer is D) 3.36.

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3 years ago

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