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Vesnalui [34]
2 years ago
9

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
7 0

Answer:

the first graph is 3:2

the second is 3:1 or 2:1 i'm not 100% sure on that one

the third is 1:1

Step-by-step explanation: I took the test and got it right

I hope this helps:)

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3) What is the shape of the graph of the equation y = 5x – 2?​
german

Answer:

  • Line

Step-by-step explanation:

The equation y = 5x - 2 is slope-intercept form of linear function.

  • The shape of the graph is the line

It has positive slope of 5, therefore is increasing function, the line goes up from left to right on the coordinate plane

6 0
3 years ago
Integrate sin²2x cos²2x dx
DochEvi [55]
\sin^2x=\dfrac{1-\cos2x}2
\cos^2x=\dfrac{1+\cos2x}2

From the identities above, you have

\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4

Applying once more, you have

\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8

So,

\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C
7 0
3 years ago
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
Ronch [10]

Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

so

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

<u><em>To the river</em></u>

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance from its resting place to a rock near a river is

d_1=40x=40(0.1591)=6.36\ miles

<u><em>From the river</em></u>

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance of the return trip is

d_2=70x=70(0.0909)=6.36\ miles

Both distances are the same

8 0
3 years ago
Does 10 7 11 make a triangle
Irina-Kira [14]

Answer:

yes

Step-by-step explanation:

For the given sides to make a triangle.

The sum of any 2 sides must be greater than the third side

10 + 7 = 17 > 11

10 + 11 = 21 > 7

7 + 11 = 18 > 10

Thus the sides 10, 7, 11 will make a triangle

7 0
3 years ago
What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 m
miskamm [114]

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

 

7 0
3 years ago
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