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4 years ago

BRAINLIEST IF ANSWER PLS ASAP

Mathematics

1 answer:

Darya [45]4 years ago

7 0

Answer:

336

Step-by-step explanation:

area of a triangle formula is 1/2b*h. so its 48. then u mutiiply that 4 and add the area of the bottom square (144)

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How do you distribute 7(2x^2+9x-3)

katrin2010 [14]

Hey there! How are you today?

First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.

If you're having trouble grasping this concept, here's an example:

Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.

Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.

7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).

Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.

14x^2 + 21x - 21 is your final expression.

I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.

7 0

3 years ago

Find the values of c such that the area of the region bounded by the parabolas

evablogger [386]

For there to be a region bounded by the two parabolas, you first need to find some conditions on $c$ . The two parabolas must intersect each other twice, so you need two solutions to

$16x^2-c^2=c^2-16x^2$

You have

$32x^2=2c^2\implies 16x^2=c^2\implies x=\pm\dfrac{|c|}4$

which means you only need to require that $c\neq0$ . With that, the area of any such bounded region would be given by the integral

$\displaystyle\int_{-4|c|}^{4|c|}\bigg((c^2-16x^2)-(16x^2-c^2)\bigg)\,\mathrm dx$

since $c^2-16x^2>16x^2-c^2$ for all $c\neq0$ . Now,

$\displaystyle\int_{-|c|/4}^{|c|/4}\bigg((c^2-16x^2)-(16x^2-c^2)\bigg)\,\mathrm dx=2\int_0^{|c|/4}(2c^2-32x^2)\,\mathrm dx$

by symmetry across the y-axis. Integrating yields

$\displaystyle2\int_0^{|c|/4}(2c^2-32x^2)\,\mathrm dx=4\int_0^{|c|/4}(c^2-16x^2)\,\mathrm dx$
$=4\left[c^2x-\dfrac{16}3x^3\right]_{x=0}^{x=|c|/4}$
$=c^2|c|-\dfrac{|c|^3}3$
$=\dfrac{2|c|c^2}3=144$
$|c|c^2=216$

Since $216=6^3$ , you have $c=\pm6$ .

3 0

3 years ago

“z varies jointly as x and y”

faltersainse [42]

Answer:

urdykdgjjdtdgdmgkgdzkyjt

6 0

3 years ago

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PLZ HELP ME QUICKLY!!!!!!!!

topjm [15]

Answer:

D. 8 units

Step-by-step explanation:

I chose that answer because -4 is 4 units away from 0 then you need to get to 4 so you add 4 more units and 4 + 4 is 8 so that means it's 8 units away

4 0

3 years ago

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　At a bike store, the number of bicycles in stock is equalto the number of tricycles in stock. If the total numberof bicycle and

Serggg [28]

Answer:

B. 10

Step-by-step explanation:

Three wheels plus two wheels is 5. 10 multiply 5 is 55.

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3 years ago

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