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KiRa [710]
3 years ago
5

Of two planes intersect is their intersection a point

Mathematics
1 answer:
Allushta [10]3 years ago
7 0
If two planes intersect there’s alway going to be an intersection point where the two cross over
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-4x+y=6 -5x-y=21 solve by substiution
gulaghasi [49]

Answer:

55

Step-by-step explanation:

55 is your answer

8 0
3 years ago
Read 2 more answers
Suppose it takes John 41 minutes to run 4 miles. How long would it take him to run 8 kilometers? Round your answer to the neares
Pani-rosa [81]

Answer:

51 minutes!

Step-by-step explanation:

<em>Hello there fellow human!</em>

First off, you convert kilometers to miles.

1 kilometer = 0.62 miles; therefore, 8 kilometers = 8*0.62 = 4.96 miles

Next, you determine how many minutes it takes for John to cover 1 mile

which is gotten by dividing 41 by 4;  

41 / 4 = 10.25. So it takes 10.25 minutes to cover 1 mile. (minutes per mile)

Next, you multiply the number of minutes taken to cover <em>1 mile (10.25)</em> by <em>4.96 miles (8 kilometers)</em>,  10.25 * 4.96 = 50.84 minutes. Rounding that to the nearest minute, you get 51 minutes which make sense because the amount of time taken to cover 4 miles (41 minutes) will be shorter than the time taken to cover 4.96 miles (50.84 minutes) since 4 miles is smaller than 4.96 miles. DIRECT PROPORTION

All calculations where done with a calculator. If you don't have that, you can always divide manually and convert to fraction.

7 0
3 years ago
Janie was given (-2, 3) as the endpoint of a line segment and (0,1) as its midpoint, which ordered pair should Janie choose as h
MaRussiya [10]
When given two end points of a segment say for example (X1,Y1) and (X2,Y2) to get the midpoint of the line or the segment we use the formula,
 midpoint =( (X1+X2)/2 , (Y1+Y2)/2 )
therefore in our case the midpoint is (0,1)
hence, (-2 + X2)/ 2 = 0, thus X2 = 2
        and (3 + Y2)/ 2= 1 , thus Y2 = -1
Therefore the other end point will be (2,-1). Thus none of the above paper can be used as the other end point.
8 0
3 years ago
Find the equation of a circle in standard form that is tangent to the line x = -3 at (-3, 5) and also tangent to the line x = 9.
Sedaia [141]

Answer:

  (x -3)² +(y -5)² = 36

Step-by-step explanation:

The center is on the vertical line halfway between the given vertical lines, so is at x=3. It is also on the horizontal line through the point (-3, 5), so is at y=5. The center is 9-3=6 from either tangent line, so this is the radius.

For center (h, k) and radius r, the circle's equation is ...

  (x -h)² +(y -k)² = r²

For (h, k) = (3, 5) and r=6, the equation is ...

  (x -3)² +(y -5)² = 36 . . . . . . . . does not match any choice written here

6 0
4 years ago
HELP FAST WILL MARK BRAINLIEST
amid [387]

Answer:

\$1,282.28  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=25\ years\\ A=\$20,000\\ r=0.11\\n=52  

substitute in the formula above  

20,000=P(1+\frac{0.11}{52})^{52*25}  

20,000=P(1.0021)^{1,300}  

P=20,000/(1.0021)^{1,300}  

P=\$1,282.28  

5 0
3 years ago
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