Answer:
The midpoint is (2 , 1)
Step-by-step explanation:
To find the midpoint, we have to add the corresponding coordinates
[(-5 , 3) + (3 , -1)] / 2
we separate into the corresponding
(-5 + 3) / 2 =
-2 / 2 = -1
(3 - 1) / 2 =
2 / 2 = 1
The midpoint is (2 , 1)
Answer:
£50 and £300
Step-by-step explanation:
Sum the parts of the ratio 1 + 6 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of ratio
Hence
1 person receives £50
the other person receives 6 × £50 = £300
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
Answer: 1.091 which is approximately 1 word per second
Step-by-step explanation:
Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds
60 seconds = 1 minute
x seconds = 2 minutes
x = 2×60 = 120 seconds
2 minutes 45seconds = 120+45 = 165 seconds
This means Jack can text 180 words in 165 seconds
Let's find his unit rate in texts per second
if jack texts 180 words in 165 seconds
Then jack texts y words in 1 second
165y = 180
y = 180/165= 1.091 words per second
This is approximately 1 word per second
Answer:
First one...
Step-by-step explanation:
Welp I mean if you look at the numbers -12, -3 and 7 you can see how they corrspoond to the points plotted on the first number line.