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3 years ago

13

A floor plan of Angelica’s bedroom and closet is shown below. The height of the bedroom is 9 feet. The height of the closet is 7

feet. What is the total volume of the bedroom and the closet?

1 answer:

Misha Larkins [42]3 years ago

7 0

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Solve the following quadratic equation for all values of a in simplest form.

SVEN [57.7K]

Answer:

$X1 = 6-\sqrt{2} , X2 = 6+\sqrt{2}$

Step-by-step explanation:

4 0

2 years ago

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What is the product of<br> 9/20 - 1/4

wlad13 [49]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

$\frac{9}{20} - \frac{1}{4}$

Make sure they have a common denominator. To do so, you must find a number the both have in come. Here, the number they have in common is 20.

What times 4 equals 20? 5. Whatever you do to the denominator you must do to the numerator.

$\frac{5}{5}$ × $\frac{1}{4}$ = $\frac{5}{20}$

Now you have $\frac{9}{20} - \frac{5}{20}$ = $\frac{4}{20}$

Then you can simplify $\frac{4}{20}$ to $\frac{1}{5}$ by dividing it by $\frac{4}{4}$

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3 years ago

Two caseworkers share an office. The first caseworker has fifteen active cases. The second caseworker has twice the number of ac

Tems11 [23]

Answer:

45

Step-by-step explanation:

first caseworker = 15 active cases

second caseworker = 2 x number of active cases

= 2 x 15

= 30 active cases

∴ number of active cases the office have = 15 + 30

= 45

7 0

3 years ago

The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

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3 years ago

Let f(x) = x^2 + -8x + 19 what is the minimum value of the function? Enter your answer in the box

crimeas [40]

<h2>(4,3)</h2>

Function Template

ax^2 + bx + c

x^2 + -8x + 19

Max/Min Point Template

- (b / 2a)

- (-8 / 2 * 1)

- (-8 / 2)

- (-4)

4

Substitute the value into the function.

(x) = x^2 + -8x + 19

f(4) = 4^2 + -8(4) + 19

f(4) = 16 + (-32) + 19

f(4) = 3

Minimum point = (4,3)

3 0

3 years ago

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