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DerKrebs [107]
3 years ago
11

Solve for the unknown in the following diagram. Round the answer to two decimal places.cm​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
Elan Coil [88]

Answer:

C) 7

===========================================

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
Read 2 more answers
And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles
LenaWriter [7]
\bf \begin{array}{ccll}
miles&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
8\frac{2}{3}&1\\\\
5\frac{1}{5}&h
\end{array}\implies \cfrac{8\frac{2}{3}}{5\frac{1}{5}}=\cfrac{1}{h}\implies \cfrac{\quad \frac{26}{3}\quad }{\frac{26}{5}}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}

which is just 36 minutes.
8 0
3 years ago
Given: 3x+7+2(4x+1) = 3(x-1) -4 prove: x=-2
denis23 [38]

Answer:

x = -2, proven below.

Step-by-step explanation:

3x + 7 + 2(4x+1) = 3(x-1) - 4

3x + 7 + 8x + 2 = 3x - 3 - 4

9 + 11x = 3x - 7

16 + 11x = 3x

16 = - 8x

-2 = x

7 0
3 years ago
A point is chosen randomly on AD. What is the probability that the point is on BC?
Nadusha1986 [10]
I’m pretty sure it’s b but idk 100% sorry if it’s wrong
8 0
3 years ago
Make a table of ordered pairs for the equation.
soldier1979 [14.2K]
X y
-2 -3
-1 -1
0 1
1 3
2 5

i can’t graph it, but i hope this helps
4 0
4 years ago
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