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Svet_ta [14]
2 years ago
8

You are given a number line with a left endpoint R, a point in between the two endpoints (not a midpoint though) of S, and a rig

ht endpoint T. If RS = 15 and ST=9, then what is the length of RT?
Mathematics
1 answer:
Nina [5.8K]2 years ago
3 0
You just add the lengths of RS and ST together. In your case RT= 24
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Someone ask me to solve this.
Semenov [28]
X=2h, y=3k

Substitute these values into equations.

y+2x = 4 ------> 3k+2*2h=4 ----->  3k +4h =4

2/y - 3/2x = 1-----> 2/3k -3/(2*2h) = 1 ------> 2/3k - 3/4h =1

We have a system of equations now.

 3k +4h =4          ------> 3k = 4-4h ( Substitute 3k in the 2nd equation.)
2/3k - 3/4h =1

2/(4-4h) -3/4h = 1
2/(2(2-2h)) - 3/4h = 1
1/(2-2h) -3/4h - 1=0

4h/4h(2-2h) -3(2-2h)/4h(2-2h) - 4h(2-2h)/4h(2-2h) =0

(4h- 3(2-2h) - 4h(2-2h))/4h(2-2h) = 0
Numerator should be = 0
4h- 3(2-2h) - 4h(2-2h)=0

Denominator cannot be = 0
4h(2-2h)≠0

Solve equation for numerator=0
4h- 3(2-2h) - 4h(2-2h)=0
4h - 6+6h-8h+8h² =0
8h² +2h -6=0
4h² + h-3 =0
(4h-3)(h+1)=0
4h-3=0, h+1=0
h=3/4  or h=-1

Check which
4h(2-2h)≠0
1) h= 3/4  , 4*3/4(2-2*3/4)=3*(2-6)= -12 ≠0, so we can use h= 3/4
2)h=-1, 4(-1)(2-2*(-1)) =-4*4=-16 ≠0, so we can use h= -1, also.

h=3/4, then  3k = 4-4*3/4 =4 - 3=1 , 3k =1, k=1/3
h=-1, then  3k = 4-4*(-1) =8 , 3k=8, k=8/3 

So,
if h=3/4, then  k=1/3,
and if h=-1, then  k=8/3 .




6 0
3 years ago
Simplify 32 ⋅ 35. (4 points)<br><br> 37<br><br> 310<br><br> 97<br><br> 910<br> Pllllsssss help
postnew [5]

Answer:

what the heck is that i rhink you mess up

4 0
3 years ago
5. A family pass to the amusement park costs $54. Using the Distributive Property, write an ex3. Fiona uses 256 fluid ounces of
Akimi4 [234]
One ounce would be 85.3333333
6 0
3 years ago
Will give brainliest. :)
riadik2000 [5.3K]

Answer:

<em>b=20</em>

<em>a</em>=14

I hope this helps!

4 0
3 years ago
Read 2 more answers
Can someone please help me with this question? I REALLY need help.
mafiozo [28]

Answer:

-45

Step-by-step explanation:

The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.

When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as <em>n</em> and other numbers then add the result.

3 0
3 years ago
Read 2 more answers
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