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krok68 [10]
2 years ago
11

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Mathematics
1 answer:
Delvig [45]2 years ago
6 0

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

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The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.
SOVA2 [1]
Y+x=33
2x-y=18
3x=51
x=17
y=33-x
y=16
3 0
3 years ago
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10x + 7y = –8<br> 7x + 7y = –14
Georgia [21]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

10x + 7y = - 8 → (1)

7x + 7y = - 14 → (2)

Subtract (2) from (1) term by term to eliminate y

(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

10(2) + 7y = - 8

20 + 7y = - 8 ( subtract 20 from both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution to the system of equations is (2, - 4 )

4 0
2 years ago
PLEASE I NEED HELP ON THIS QUESTION..
Olenka [21]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the circles.

It's is universally proven that ratio of circumference and diameter is always π

hence the decimal value is π = 3.14

===> answer is option B.) 3.14

4 0
2 years ago
Read 2 more answers
How do I solve 3/4 =60% over 100
zepelin [54]
3/4 is 75% so the answer is 75% out of 100

Hope that helps!:)
5 0
3 years ago
A rectangle has perimeter, P, length, land width, w. Which of the following represents lin
almond37 [142]

Answer:

l=\frac{P}{2}-w.

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w.

I don't know your options but I have solve for l in terms of P and w

and got l=\frac{P}{2}-w.

Please let me know if you have further questions with this problem.

4 0
3 years ago
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