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lorasvet [3.4K]
3 years ago
5

Lines C and D are represented by equations given below:

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
(1, 5), b/c both lines pass through this point - is the correct answer.
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(4,5);y=3/2x+3 write an equation of the line that passes through the given point that is parallel to the given line
Aleonysh [2.5K]

Answer:

2x-3/y-5/37=0

Step-by-step explanation:

here, given equation of line is

y=3/2x+3

or,y(2x+3)=3

or,2x+3=3/y

or,2x-3/y+3=0...eqn(i)

equation of any line parallel to line (i) is

2x-3/y+k=0.. eqn(ii)

since, the line passes through (4,5)[replacing x=4 and y=5 in eqn(ii), we get]

2*4-3/5+k=0

or,8-3/5+k=0

or,40-3/5+k=0

or,k=-5/37

substituting the value of k=-5/37 in eqn(ii)

2x-3/y-5/37=0 is the required equation of line.

3 0
3 years ago
Evaluate the expression 9x , when x= 4, 7, and 2.5
satela [25.4K]

Step-by-step explanation:

When x = 4,

9x=9×4=36

When x = 7,

9x = 9×7 =63

When x = 2.5

9x = 9×2.5 = 23.5

PLEASE GIVE BRAINLIEST.

5 0
3 years ago
Read 2 more answers
What is the volume of the following triangular prism?
Eva8 [605]

Answer:

V=150cm^3

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

A_T=\frac{bh}{2}

where b is the base: b=4cm and h is the height: h=5cm

thus, in this case we have:

A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2

And now, the volume will be the area of the triangle multiplied by the length l=15cm of the prism:

V=A_T*l

Substituting the known values:

V=10cm^2*15cm\\V=150cm^3

The volume in cubic centimeters is 150.

4 0
4 years ago
Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd put U and I​ together." The
Gnesinka [82]

Answer:

It is not  a probability  distribution as some data is missing.

Step-by-step explanation:

It is not  a probability  distribution as some data is missing.

Since it  is discrete and,

\sum_{x = 0}^{3}P(X = x)

= (0.001 + 0.007 + 0.033 + 0.059)

= 0.1 ≠ 1

and we know that for

f_{X}(x) = P(X = x)

to be classified as a discrete probability function,

1. 0 ≤ P(X = x) ≤ 1  and   ∀ x ∈ R and

2. \sum_{x \epsilon M}P(X = x) = 1

where M is  the support of X or the set of points where P(X = x) > 0

must hold.

4 0
4 years ago
NEED ANSWER NOW PLEASE!
nekit [7.7K]
53,500 it that Because it’s the answer
6 0
3 years ago
Read 2 more answers
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