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krok68 [10]
3 years ago
8

Lena tried to solve a system of linear equations algebraically and the process found the equation 5=9. Lena thought something wa

s wrong, so she graphed the equations and found that they were parallel lines. Complete the explanation for what Lena's graph and equation could mean.
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0
This means the graph or the equation has no solution
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What is the area of the parllelogtam shown below
Umnica [9.8K]
<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

6 0
3 years ago
Find the slope of a line parallel to y=(2/5)x + (4/5)
Tcecarenko [31]

Answer:

So if a line was parallel it would have same slope. You can search up what slope-intercept form means. But if you have an equation like this:

y = mx+b

The slope will be m. Your question is written in the form. 2/5 = m.

The slope is 2/5

The y-intercept is 4/5

6 0
2 years ago
Read 2 more answers
How many parallel sides can a triangl have
katrin2010 [14]

Answer:

None.

Step-by-step explanation:

Hi!!

A triangle has <u>NO</u> parrallel lines. It cannot. Think of a triangle. IF it had a parralell line(s), it would not have 3 sides.

Otherwise, it wouldn't be a polygon which is part of the criteria for a triangle.

Hope this helps!

:D

5 0
3 years ago
Read 2 more answers
Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.
n200080 [17]

<em>Question Continuation:</em>

<em>Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce. </em>

<em>Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.</em>

<em></em>

Answer:

y = \frac{15}{8}\ lb

Step-by-step explanation:

Given

Weight of Tomato = 3 lb

Used Proportion = 5/8

Required

Determine the portion used

To solve this we simply multiply the used proportion by the weight of the tomato bought

Represent the used portion with y.

So:

y = Weight * Used\ Proportion

y = 3\ lb * \frac{5}{8}

y = \frac{15}{8}\ lb

4 0
3 years ago
A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length
MAXImum [283]

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

\frac{144}{8} = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m


4 0
3 years ago
Read 2 more answers
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