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xxTIMURxx [149]
3 years ago
9

WWhat is the equation of the line that passes through the point (-5, -2) and has a

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

y _{1}  - y = m (x _{1}  - x) \\ y + 2 =  - 1.2(x  + 5) \\ y =  - 1.2x - 6 - 2 \\ y =  - 1.2x - 8

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l
choli [55]

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

Thus the cube root of the larger number is 9.

8 0
4 years ago
What is the sum of the seven terms of the geometric series 2- 8+32-...?
egoroff_w [7]
The first term is 2 and the common ratio = -8/2 = -4

S7   = 2 * (-4)^7 - 1
                -------------    =      6554   answer
                  -4-1
6 0
3 years ago
I dont know how to do this, please help​
IgorLugansk [536]

Answer:  B= 11

Step-by-step explanation:

8 0
3 years ago
Find the volume of this rectangular pyramid.
LekaFEV [45]

Answer:

25 ft

Step-by-step explanation:

You need to add 9+7+9.

There are two 9s and just one 7. 9+9 is 18 and 18+7 is 25

5 0
3 years ago
Which function is the inverse of ?<br> f(x)=50,000(0.8)^x
IrinaK [193]
Answer:

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8)</span></span></span></span>

Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
</span></span></span></span></span>

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

my teacher helped a little bit


</span></span></span></span></span>

4 0
3 years ago
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