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3 years ago

Given y=2x+5, determine is -6x+3y=-30 is parallel, perpendicular, or neither?

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

Answer:

Parallel

Step-by-step explanation:

2x+5 slope: 2

-6x+3y=30 slope: 2

Hence the answer is parallel

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

2 years ago

Which of these is the absolute value parent function?

bija089 [108]

Answer:

D. f(x) = |x|

Step-by-step explanation:

The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...

f(x) = |x|

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2 years ago

The furniture store where Jada's sister works bought a table for $200 and sold it for $350. What percentage was the markup? I wa

nevsk [136]

Answer:

divide 350 by 200

Step-by-step explanation:

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2 years ago

Find the GCF for -10c^2d and 15cd^2

sveta [45]

-10c^2d and 15cd^2
GCF
5cd

8 0

2 years ago

What is the difference between surface area and volume? formulas please!

Nastasia [14]

Surface area is the combined areas of all the sides of the shape and volume is the area within the shape

for example if you had a box filled with water the area of the box is the surface area and the amount of water would represent the volume

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3 years ago

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