2 years ago

Find the value of h for the parallelogram to the right.

Mathematics

1 answer:

irina1246 [14]2 years ago

4 0

12.0208 is the answer

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Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge

dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

$f(x)=ax^2+bx+c.$

Then

1. $f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;$

2. $f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;$

3. $f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.$

Solve the system of two equations:

$\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.$

Then

$22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.$

Thus, the equation of the function is

$f(x)=-\dfrac{1}{2}x^2+6x+2.$

Note that

$f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;$

$f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.$

8 0

2 years ago

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The approximate line of best fit is given by the equation y=40x-1800. Based on this trend which of the following best predicts t

serious [3.7K]

Solve for x

(94+1800)÷40 = 47.35

So x = 47.35

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2 years ago

Ari mixed 2 1/4 cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed gra

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To start, our equation will look like this:

(2 1/4 + 1/2)/ 3/4 = b

To make it easier convert the 2 numbers inside the parentheses into improper fractions, and then multiply them by their least common denominator to add.

(9/4 + 1/2)

(18/8 + 4/8)

(22/8)/ 3/4 = b

Now, to divide 22/8 cups of grapes into bags with 3/4 cup of grapes, multiply 22/8 by 4/3.

(22/8)(4/3)=b

3 2/3 = b

So, if Ari has a bag with 2 1/4 cups of red grapes and 1/2 cup of green grapes, and he divides it into bags with 3/4 cup each, he will have about 3 full bags.

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2 years ago

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What dose 0.07x1.22 eaqual

iogann1982 [59]

0.07 * 1.22

Is equal to 0.0854

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Brian has started a savings account. the balance, g(x), in his account can be represented by the function g(x)= 25x + 350, where

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How much he deposits in his account each week.