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tiny-mole [99]
3 years ago
10

Given the diagram below what is the length of segment EF

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0

Answer:

C is the closest.,

Step-by-step explanation:

I am assuming that the 2 trapezoids CBEF and EFDA are similar (they are similar if the 3 horizontal lines are parallel).

Corresponding sides are in the same ratio , so:

3.4 / EF = EF / 7.6

EF^2 = 3.4 * 7.6 =  25.84

EF = 5.08

densk [106]3 years ago
6 0

Answer:

B-5.5

Step-by-step explanation: APEX

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Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = \frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}

where (x_0,y_0,z_0)=(2,0,1), A=4, B=3, C=1 and D=-10. So, the distance is

d = \frac{|8+1-10|}{\sqrt{16+9+1}}

d =  \frac{|-1|}{\sqrt{26}}

d = \frac{1}{\sqrt{26}}.

4 0
2 years ago
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
Y= 5x +1<br> And <br> Y = x + 2<br><br> I need the graph
Nataly [62]

Answer:

  • 2

Step-by-step explanation:

SO you add this

5 0
2 years ago
I need help asap thank you
luda_lava [24]
Positive+positive= positive
negative+negative=positive
-7+10= negative
4/6 + 2/6= positive
-9.5+4= negative
4 0
3 years ago
Read 2 more answers
Find the slope of the line between the ordered pairs (2,4)and(5,6) whats the answer??
murzikaleks [220]
Answer: 2/3

Explanation:

Rise over Run, count up how many units and to the right until you reach the second point
5 0
3 years ago
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