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ludmilkaskok [199]
1 year ago
4

Martin drew a pair of perpendicular lines and a pair of parallel lines. which of these statements best compares the pairs of per

pendicular and parallel lines?
A: perpendicular and parallel lines have their lines extending in one direction only.

B: perpendicular and parallel lines always have a common endpoint.

C: perpendicular lines are lines that intersect at right angles, and parallel lines are lines that never meet.

D: perpendicular lines have only one point lying on them, and parallel lines have no points lying on them.
Mathematics
1 answer:
Mkey [24]1 year ago
8 0
C: perpendicular lines are lines that intersect at right angles, and parallel lines are lines that never meet.

Parallel lines are, for example, like this: = They don't intersect, and they never touch. Perpendicular, however, look like the letter L, meaning they always meet at a right angle.
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If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c
Eduardwww [97]
Circle b:

Diameter = x

Radius = \frac{x}{2}

Area = \pi  r^{2} =  \pi ( \frac{x}{2} )^{2} =   \frac{ \pi  x^{2} }{4}

Circle a:

Diameter = \frac{x}{2}

Radius = \frac{x}{2} *  \frac{1}{2} =  \frac{x}{4}

Area = \pi  r^{2} =  \pi  ( \frac{x}{4} )^{2} =  \frac{  \pi x^{2} }{16}

Thus,

Area of circle b to area of circle a

= \frac{ \pi x^{2} }{4} ÷ \frac{ \pi x^{2} }{16}

= \frac{ \pi x^{2} }{4} × \frac{ 16 }{\pi x^{2}}

= 4

Hence, the area of circle b is 4 times the area of circle a.
5 0
1 year ago
How to solve using the quadratic formula. & answer.
bagirrra123 [75]
Quadratic formula

for the equation
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

we are given
x^2-4x+3=0
we don't need to use quadratc formula, we just factor into
(x-3)(x-1)=0
x=3 and 1
but if you want to use quadratic, ok

x^2-4x+3=0
a=1
b=-4
c=3
input
x=\frac{-(-4)+/- \sqrt{(-4)^{2}-4(1)(3)} }{2(1)}
x=\frac{4+/- \sqrt{16-12} }{2}
x=\frac{4+/- \sqrt{4} }{2}
x=\frac{4+/- 2}{2}
x=2+/-1
x=2+1 or 2-1
x=3 or 1


5 0
1 year ago
3 1/3 feet are cut off a board that is 12 1/4 feet long.How long is the remaining
laiz [17]

Answer:

8\frac{11}{12}

Step-by-step explanation:

In order to answer this question you will have to subtract 3 1/3 from 12 1/4 by turning the mixed fractions into improper fractions, finding the common denominator, (CD) then subtracting the numerators.

12 \frac{1}{4} - 3\frac{1}{3}

Turn the mixed fractions into improper fractions:

12\frac{1}{4} = \frac{49}{4}

3\frac{1}{3} = \frac{10}{3}

\frac{49}{4} -\frac{10}{3}

Find the common denominator:

4\times3=12

3\times4=12

CD=12

49 \times 3 =147

=\frac{147}{12}

10\times4=40

=\frac{40}{4}

Now subtract the numerators:

147-40=107

=\frac{107}{12}

Turn the improper fraction into a mixed fraction:

\frac{107}{12} =8\frac{11}{12}

=8\frac{11}{12}

Hope this helps.

5 0
1 year ago
Read 2 more answers
Solve the system of equations using the linear combination method. {4j−2k=265j−2k=35 Enter your answers in the boxes.
nadezda [96]
You can break down linear combination method in following steps:
1) Arrange the like terms in columns (x bellow x, y bellow y...)
2) Multiply one or both equations until you "kill" one of the terms
This means that coefficients on one of your terms have the same value but have opposite signs.
3) Add equations and repeat steps 1 and 2 if you had more than two equations to start with.

So to start with we write equations with like terms in columns.

<span>4j−2k=26
5j−2k=35 
All we have to do now is multiply the second equation by (-1).
</span>
 4j -2k=26
-5j+2k=-35 
<span>Now we can add them together and solve for j.

-j=-9
j=9

We can find k simply by plugging in j=9.

</span>4(9)−2k=26
36−2k=26
<span>2k=36-26
k=5




</span>
7 0
1 year ago
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Which is the y-intercept of the function 3x - 6y = 12?
uranmaximum [27]

Answer:

-2

Step-by-step explanation:

Get y by itself.

8 0
1 year ago
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