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Ksenya-84 [330]
2 years ago
9

Find the value of r in(4,r) (r,3) so that the slope of the line containing them is 0

Mathematics
1 answer:
Pavel [41]2 years ago
8 0

Answer:

r = 3.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

Finding the slope of a line, given two points:

When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.

Points (4,r), (r,3)

Change in y: 3 - r

Change in x: r - 4

Slope is 0, so:

\frac{3 - r}{r - 4} = 0

3 - r = 0

r = 3

The value is r = 3.

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Can someone solve this for me?
Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare

5 0
1 year ago
Use K to write an equation, y=kx, for the relationship.
frozen [14]
Y= 1x because the slope is 1 because rise over run 1
8 0
2 years ago
Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...
timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

a_1=-36

now, we can find common ratio

r=\frac{6}{-36}

r=-\frac{1}{6}

now, we can find nth term

a_n=a_1(r)^{n-1}

now, we can plug values

and we get

a_n=36(-\frac{1}{6})^{n-1}

now, we can find 5th term , 6th term, 7th term

fifth term:

a_5=36(-\frac{1}{6})^{4}

a_5=\frac{1}{36}

sixth term:

a_6=36(-\frac{1}{6})^{5}

a_6=-\frac{1}{216}

seventh term:

a_7=36(-\frac{1}{6})^{6}

a_7=\frac{1}{1296}

so, next terms are

a_5=\frac{1}{36} , a_6=-\frac{1}{216}

, a_7=\frac{1}{1296}.............Answer

6 0
3 years ago
-8)(56)=1<br><br> What is the missing value that makes the equation true?
Rudik [331]
the correct answer is -448
7 0
3 years ago
A coral reef grows 0.11m every week. How much does it grow in 15 weeks?
Vladimir [108]

you need to multiply .11 times 15

That answer is 1.65 m


Hope this helps

Brainliest is always appreciated : )


6 0
3 years ago
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