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Vera_Pavlovna [14]

3 years ago

14

Express the area of the entire rectangle.

1 answer:

Cloud [144]3 years ago

7 0

Answer:

$\huge\boxed{A=x^2+12x+35}$

Step-by-step explanation:

The formula of an area of a rectangle:

$A=lw$

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

We have

$l=x+7\\\\w=x+5$

Substitute:

$A=(x+7)(x+5)$

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em></em> $A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35$ <em></em>

combine like terms

$A=x^2+(5x+7x)+35\\\\A=x^2+12x+35$

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sveta [45]

Yes, the formula for the volume of a prism is the area of the base multiplied by the height of the prism. To find the area of the base since it's a triangle is 1/2 base x height. Which would be 1/2(4)(12)=24. Then you would take that number and multiply it by the height of the prism. Which would be (24)(6)=144 cubic units.

6 0

4 years ago

Please I will give you 10 plus 5 more for brainliest

attashe74 [19]

Answer:

1-12

Step-by-step explanation:

1. left 2. right 3. equal 4. left 5. left 6. equal

sry i was running out of time.

6 0

3 years ago

The average American drinks about eight servings of hydrated beverages everyday.

Veronika [31]

Answer:

224(w)

Step-by-step explanation:

If a household is a four people, that means that each day each of those people drinks 8 servings of water which is 8*4 = 32 servings per day.

Then, there are 7 days in a week so 32*7 = 224 servings in a week

6 0

3 years ago

The speed of sound is about thirty-four thousand centimeters per second. What is that speed in scientific notation?

Talja [164]

3.4 × $10^{4}$

34,000 = 3.4 × $10^{4}$

8 0

3 years ago

Log16^*+log4^*+log2^*=7

ale4655 [162]

Answer:

$x = 16$

Step-by-step explanation:

Given

$log_{16}(x) + log_4(x) + log_2(x) = 7$

Required

Solve for x

$log_{16}(x) + log_4(x) + log_2(x) = 7$

Change base of 16 and base of 4 to base 2

$\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7$

Express 16 and 4 as 2^4 and 2^2 respectively

$\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7$

The above can be rewritten as:

$\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7$

$log_22 = 1$

So, we have:

$\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7$

$\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7$

Multiply through by 4

$4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4$

$log_2(x) + 2}log_2(x) + 4log_2(x) = 28$

$7log_2(x) = 28$

Divide through by 7

$\frac{7log_2(x)}{7} = \frac{28}{7}$

$log_2(x) = 4$

Apply the following law of logarithm:

<em>If </em> $log_ab = c$ <em> </em><em>Then </em> $b = a^c$ <em></em>

So, we have:

$x = 2^4$

$x = 16$

6 0

3 years ago