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bogdanovich [222]
3 years ago
10

write the equation of a line that is perpendicular to the given line and that passes through the given point. –x 5y = 14; (–5, –

2) y = 5x– 27 y = -5x– 27 y = -1/5– 15 y =-1/5– 27
Mathematics
2 answers:
umka2103 [35]3 years ago
5 0

Answer: y=5x-27

Step-by-step explanation:

Schach [20]3 years ago
3 0
The answer is y=5x-27
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16x-10y=10<br>-8x-6y=6<br><br>can someone help me understand this question?
kkurt [141]
This is a system of equations, and I am assuming that you are being asked to solve it.

This is finding the point where these two lines intersect.

The key to solving these algebraically is finding one part in terms of another part and substituting.

We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.

We have 
16x-10y=10
and 
2(-8x-6y=6).

The last equation is rewritten as -16x-12y=12.

Now, we cancel the x-terms.

16x-10y=10
-16x-12y=12

-22y=22 \\ y = -1

We have our value for y, so we just plug this back into any of the original equations to get x.

16x-10(-1)=10\\16x=0\\x=0

Thus, the solution to the system of equations is the point (0,-1).
6 0
4 years ago
The sample space of a random experiment is {a,b,c,d,e} with probabilities 0.1,0.1,0.2,0.4, and 0.2, respectively. Let A denote t
velikii [3]

Answer with Step-by-step explanation:

We are given that a sample space

S={a,b,c,d,e}

P(a)=0.1

P(b)=0.1

P(c)=0.2

P(d)=0.4

P(e)=0.2

a.A={a,b,c}

P(A)=P(a)+P(b)+P(c)

P(A)=0.1+0.1+0.2=0.4

b.B={c,d,e}

P(B)=P(c)+P(d)+P(e)=0.2+0.4+0.2=0.8

c.A'=Sample space-A={a,b,c,d,e}-{a,b,c}={d,e}

P(A')=P(d)+P(e)=0.4+0.2=0.6

d.A\cup B={a,b,c,d,e}

P(A\cup B)=P(a)+P(b)+P(c)+P(d)+P(e)=0.1+0.1+0.2+0.4+0.2=1

e.A\cap B={c}

P(A\cap B)=P(c)=0.2

4 0
4 years ago
How many triangles can be drawn with side lengths 3, 5, and 9?
prohojiy [21]

Answer:

no triangle

Step-by-step explanation:

SOLUTION: No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

7 0
3 years ago
An airline allows passengers to bring a suitcase that
Mars2501 [29]

Answer:

1. Yes, Elena is correct because her suitcase needs to weigh 30 pounds or less to avoid the fee and her suitcase weighs 29.8 pounds.

2. x<30

Step-by-step explanation:

8 0
3 years ago
A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is
Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = length*width

= 72\times56=4032 cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

4032=x*21

x=\frac{4032}{21}=192

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

\frac{192}{72}=\frac{8}{3} or \frac{56}{21}=\frac{8}{3}

Hence, the constant of variation is \frac{8}{3}

7 0
3 years ago
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