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Evgesh-ka [11]
4 years ago
8

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
Read 2 more answers
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
Read 2 more answers
 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.

7 0
3 years ago
Read 2 more answers
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