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love history [14]
3 years ago
5

Please help ASAP. Will give brainliest!

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
The anwser should be c
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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point
Maksim231197 [3]

Answer: (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

Taking square on both the sides , we get

(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0

Using quadratic formula : x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}

so, (6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0) are the required points.

since \sqrt{3}=1.732

so, (6+7(1.732),0)\text{ and }(6-7(1.732),0) are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0
3 years ago
Slope is 0 and (0,5) is on the line<br> What is standard form please!
stellarik [79]
I think the answer would be 3
4 0
3 years ago
SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Pavlova-9 [17]

Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels


Step-by-step explanation:

Given function  f(r)=40r+26, where r is the number of rolls of nickels she gets.


as it is already mentioned that she can get up to 10 rolls of nickels.


Therefore domain of function contains r ≤10,such that r is a natural number.


i.e.Domain of f(r)=all integers from 1 to 10, inclusive.


Domain of a f(x) is a set of values of x which make function f(x) well defined.



--------------------------------------------------------------------------------------------------------


Have a great day! ( :

5 0
4 years ago
What is 8.5% mutiplyed by 70
dsp73
70 x 8.5% = 70 x 0.085 = 5.95
6 0
3 years ago
Read 2 more answers
Can somebody help me with this I don’t get it?
Inessa [10]

Answer:

the time means how long it takes to get to that distance below it

Step-by-step explanation:

4 0
3 years ago
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