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fiasKO [112]
3 years ago
10

The variable x varies jointly with y and z. Use x=2, y=4, z=1 to write an equation relating x, y

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Equation is x=\frac{1}{2}yz and when y=2 and z=4, x will be 4.

Step-by-step explanation:

Given:

x varies jointly with y and z.

It also means x is directly proportional to y and z.

x=2, y =4,z=1

From above values we can compute the equation as.

x=\frac{1}{2}yz\\2= \frac{1}{2} \times 4 \times 1\\2=2

Hence the Equation is x=\frac{1}{2}yz

Now y=2 and z=4 we get.

x=\frac{1}{2}\times 2 \times 4= 4

Hence when y=2 and z=4, x will be 4.

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svetlana [45]

Answer:

Yellow 0/25

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Step-by-step explanation:

hope this helps and learn well

6 0
2 years ago
What is the value of y?<br> A. 83<br> B. 89<br> C. 96<br> D. 97
Readme [11.4K]

Answer:

<u>A. 83</u> is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = <u>83</u>

Have a nice day! :-)

7 0
2 years ago
Write the equation of the line passing through the points (-4,-1) and (2,8)
klio [65]
<h3><u>Explanation</u><u>:</u></h3>
  • Calculate the slope with two given coordinate points by using rise over run.

m =  \frac{y_2 - y_1}{x_2 - x_1}

Let these points

\begin{cases}(x_1, y_1) = ( - 4,  - 1) \\ (x_2, y_2) = ( 2,  8) \end{cases}

m =  \frac{8 - ( - 1)}{2 - ( - 4)}  \\ m =  \frac{8 + 1}{2 + 4}  \Longrightarrow \frac{9}{6}  \Longrightarrow \frac{3}{2}  \\ m =  \frac{3}{2}

  • Slope-Intercept

y = mx + b \\ m = slope \\ b = y - intercept

Substitute the value of m in the equation.

y =  \frac{3}{2} x + b

  • Substitute any coordinate points that are given or part of the graph in the equation.

(x_, y) = ( - 4,  - 1)

- 1 =  \frac{3}{2} ( - 4) + b

  • Solve the equation for b-term.

- 1 =  \frac{3}{ \cancel{2}} ( \cancel{ - 4})   + b\\  - 1 = 3( - 2) + b \\  - 1 =  - 6 + b \\  - 1 + 6 = b \\ 5 = b

  • Rewrite the equation by substituting the value of b in the equation.

y =  \frac{3}{2} x + 5

<h3><u>Answer</u></h3>

\large \boxed{y =  \frac{3}{2} x + 5}

<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free</em><em> </em><em>to</em><em> </em><em>ask</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em>

7 0
3 years ago
Subtract.<br><br> 7 1/5 − (−3/5)
mojhsa [17]

This would just be 7 1/5 + 3/5 since the negative sign gets distributed and makes (-3/5) into a positive number.

From there you have basic math and you get 7 4/5.

5 0
3 years ago
Read 2 more answers
PLLEASEEEE ANSWER HURRY
Galina-37 [17]
The answer is y=-8 I’m pretty sure
6 0
3 years ago
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