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natima [27]
3 years ago
12

Find the x and y intercepts of the linear equation 2x - 4y = -20

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

2x-4y=-20

To determine the x-intercept we must set "y = 0":

2x-4(0)=-20

2x=-20

Now, we divide both sides by 2:

x=-\frac{20}{2}=-10

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

2(0)-4y=-20

-4y=-20

Now, we divide both sides by -4:

y=\frac{-20}{-4}=5

Therefore the y-intercept is 5.

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-4/5 + 3/20 dont understand how to solve it
IRINA_888 [86]

Answer:

-13/20

Step-by-step explanation:

-4/5 x 4/4 = -16/20

3/20 x 1/1 = 3/20

-16/20 + 3/20 = (-16 + 3 = -13)

-13/20

5 0
3 years ago
Given that lines AB and DE are parallel,determine how triangles ABC and EDC can be shown to be similar
Roman55 [17]

Answer:

The transversals cutting through the parallel lines create angles that are congruent to one another. Angles 1`and 5 are alternate interior and are congruent. Angles 2 and 6 are alternate interior and are congruent. And of course if 2 of 3 angles in 2 triangles are congruent, then the 3rd angles have to be congruent as well.  HOWEVER, we can see that the sides are NOT congruent, and we need at least one side to prove congruency.  Since we have 3 congruent angles, we can only say they are similar.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A dolphin calf swims at a depth of -7/4 feet from the sea surface. An adult dolphin swims at a depth 5/3 times the depth at whic
il63 [147K]
It is - 7/4 * 5/3 = - 35/12 feet
4 0
3 years ago
Solve the system of equation:
eduard

Answer:

x=-2, y=1. (-2, 1).

Step-by-step explanation:

y=x+3

y=2x+5

------------

x+3=2x+5

3=2x-x+5

3=x+5

x=3-5

x=-2

y=-2+3=1

6 0
3 years ago
Is anyone good at math and can help with this, or at least the first one and explain how to do it?​
Anna007 [38]

now, bear in mind that all these ones are lines, and to graph a line all you need is two points, so let's pick a couple of random values for say "x" and let's see what we get for "y" and that's our x,y point.

3)

9x+4y=-16\implies \stackrel{\textit{using x = 0}~\hfill }{9(0)+4y=-16}\implies 4y=-16 \\\\\\ y=\cfrac{-16}{4}\implies y=-4~\hspace{10em}(0~~,~~-4) \\\\[-0.35em] ~\dotfill\\\\ 9x+4y=-16\implies \stackrel{\textit{using x = -4}~\hfill }{9(-4)+4y=-16}\implies -36+4y=-16 \\\\\\ 4y=20\implies y = \cfrac{20}{4}\implies y = 5~\hspace{10em}(-4~~,~~5)

check the red line in the picture below.

4)

5x+2y=8\implies \stackrel{\textit{using x = 0}~\hfill }{5(0)+2y=8}\implies 2y=8\implies y=\cfrac{8}{2}\implies y=4 \\\\\\ ~\hspace{10em}~\hspace{10em}(0~~,~~4) \\\\\\ 5x+2y=8\implies \stackrel{\textit{using x = 4}~\hfill }{5(4)+2y=8}\implies 20+2y=8\implies 2y=-12 \\\\\\ y=\cfrac{-12}{2}\implies y=-6~\hspace{10em}(4~~,~~-6)

check the blue line in the picture below.

8 0
3 years ago
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