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Georgia [21]
2 years ago
8

Determine the equation of the following lines

Mathematics
2 answers:
Phantasy [73]2 years ago
7 0
Y=3x-1

y=4/3x+2

y=2/5x+5
SOVA2 [1]2 years ago
4 0
Hint: When an equation is parallel to another, they have the same slope and when it's perpendicular, the slope is inverted.

Let's start with the first one. Since it's parallel, we're keeping the slope which is 3. Now, you just plug in the coordinate pair and solve for the y-intercept.

4 = 3(1) + b
4 = 3 + b
b = 1

Therefore the equation would be y = 3x + 1.

Next one is perpendicular so we invert the slope to give it a negative-reciprocal, making the slope 4/3. Now, you plug in and solve.

-6 = 4/3(-3) + b
-6 = -8 + b
b = 2

Therefore, the equation is y = 4/3x + 2

Next, you need to put the equations into y=mx+b

Equation for slope:
5x + 2y -4 = 0
2y = -5x + 4
y = -5/2x + 2

Since the slope is perpendicular the slope would be 2/5.

Equation for y-intercept:
2x + 3y - 15 = 0
3y = -2x + 15
y = -2/3x + 5

Since it has the same y-intercept, it stays as a 5.

The final equation would be y = 2/5x + 5.
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15 is what percent of 20
Lera25 [3.4K]
100%/x%=20/15
(100/X)*x=20/15*x   --I multiply both sides of the equation by X
100=1.33333333333*x --I divided both sides of the equation by                     .........................................(1.33333333333) to get X
100/1.33333333333=x
75=x
x=75

15 is 75% of 20

6 0
3 years ago
!30 points! Which angle corresponds to angle N? (Photo attached)
aleksklad [387]

Answer:

The answer is D. "P". hope this helps you

4 0
3 years ago
Read 2 more answers
Use a two-column proof to prove the Triangle Proportionality Theorem:
photoshop1234 [79]

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

4 0
3 years ago
(08.03)
VMariaS [17]

Answer:

rearrange them properly to get

x-y=7

-3x+y=12

( by elimination method)

x-y = 7

-3x+y=

(x+ –3x) + (–y+y) = (7+12)

-2x+0= 19

x= -9.5

from eqn(i)

x-y=7

-9.5 - y=7

-y=16.5

y= -16.5

8 0
3 years ago
A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount? Can someone help me learn to do p
andreyandreev [35.5K]
When you see a "%" you need to ask " a percent of what"?

Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.

20% is also 20/100 or 1/5, so we can calculate this like this:

\frac{1}{5} *35=7

so the discount is 7 dollars.
6 0
2 years ago
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