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3 years ago

True or false the x and y axes in the xy plane intersect perpendicularly

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Please find the attachment for a better understanding of the explanation to this question.

As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.

Please note that this is always the case and this is also known as orthogonality.

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Write an expression for the sum of four consecutive odd integers where 2n +1 represents the smallest odd integer.

7nadin3 [17]

8n+16
the four odd numbers are 2n+1, 2n+3, 2n+5, 2n+7
2n+1+2n+3+2n+5+2n+7=8n+16

5 0

3 years ago

Please help me ASAP! I will friend you (probably)! The first correct answer will get brainiest! Terry and Tao are canoeing on a

ivann1987 [24]

<span>erry starts rowing at 2 pm from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 pm.
------
Terry DATA:
rate = 60 meter/min ; time = x min ; distance = r*t = 60x meters
-----
Tao DATA:
rate = 40 meter/min ; time = x-5 min ; distance = r*t = 40(x-5) meters
--------------------------
If they always row directly towards each other at what time will the two meet?

------
Equation:
dist + dist = 2000 meters
60x + 40(x-5) = 2000
20x = 1800
x = 90 minutes
---</span>

8 0

3 years ago

Samir bought 3 pounds how cement to repair the cracks in his sidewalk. Each crack needs to be filled with 2 ounces of cement.

ehidna [41]

Answer:

The answer is 24 cracks will be filled

Step-by-step explanation:

hope it helps :3

16 ounces in a pound. convert pounds to ounces

calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.

The amount of cracks to be filled : 48 /2 = 24 cracks

6 0

3 years ago

Read 2 more answers

A hot liquid starts at 93 degrees F. Its temperature decreases at a

bekas [8.4K]

Answer:

34.41º

Step-by-step explanation:

0.93 times 9=8.37 degrees per minute

7 times 8.37=58.59

93-58.59=34.41

5 0

3 years ago

put the steps for rewriting the equation of a circle below in standard form completing the square in order

sergeinik [125]

Answer:

a) 1.

f)6.

d)5.

c)7.

g)3.

e)4.

b)2.

Step-by-step explanation:

putting the steps for rewriting the equation of a circle below in standard form completing the square in order:

Step 1)

a. where 36 is added on both sides of the equation

as it is square of half of 12.

x^2 +12x+36 +y^2 +30y=24+36 ..........(1)

Step 2)

f. where 225 is added on both sides of equation as it is square of half of 30

x^2 +12x+36 +y^2 +30y+225=24+36+225 ............(6)

Step3)

d. adding numbers on r.h.s

x^2 +12x+36 +y^2 +30y+225=285 ............(5)

Step4)

c) Factoring the x values into binomial factors

(x+6)(x+6) +36 +y^2 +30y+225=285 .............(7)

Step5)

g) re-writing x factors as squares

(x+6)^2 +36 +y^2 +30y+225=285 ...............(3)

Step6)

e)Factoring the y values into binomial factors

(x+6)^2 +36 +(y+15)(y+15)=285 ...............(4)

Step7)

b)re-writing x factors as squares

(x+6)^2 +36 +(y+15)^2=285 ...........(2)!

4 0

3 years ago