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3 years ago

Parallel lines always have the same _____. origins slope y-intercepts x-intercepts

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

The graph below shows two lines that are parallel. As we can see, these lines have equal steepness, meaning they have equal slope

Tatiana [17]3 years ago

8 0

Answer:

Parallel line have the same slope.

Step-by-step explanation:

Parallel lines are those lines which never intersect each other and distance between these two lines is always equal.

Now, if the parallel lines have same origin, x-intercepts and y -intercepts then it will intersect and these points which contradicts the definition of parallel lines.

Therefore, we can say that parallel lines have the same slope.

Hence, second option is correct.

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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

A plane intersects this rectangular prism perpendicular to the prism’s base.

____ [38]

Rectangle

try it with a briefcase and put a cardboard in it (of cours you don't have a brief case, it has gone mostly extinct)

ok, try it with a laptop
close the laptop
how can you read what I'm typing when you close your laptop
close the laptop
slide a paper into the middle of the opening
open laptop
surprise, it is a rectangle

rectangle

6 0

3 years ago

Read 2 more answers

The question is in the screenshot attached. Thank you!

Rzqust [24]

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

7 0

3 years ago

A line that crosses parallel lines to create pairs of congruent and supplementary angles

jenyasd209 [6]

Answer:

A traversal

Step-by-step explanation:

7 0

3 years ago

15 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?

aleksklad [387]

Answer:

C. domain: {x ≤ 2}; range: {–∞ < y < ∞}

that's the right answer pramis:)

8 0

3 years ago

Read 2 more answers