Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is thepoint of B?
Answers
The midpoint of a line segment divides the line segment into equal halves. The point of B is (7,2)
Given that:
Point B is represented as:
To calculate the coordinate of B, we use the following midpoint formula:
So, we have:
Multiply through by 2
By comparison:
and
So, we have:
Hence, the coordinate of B is (7,2)
Read more about midpoints at:
Answer:
(7, 2)
Step-by-step explanation:
(-1+x)/2 = 3
x= 7
(6+y)/2 = 4
y= 2
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A total of $8,000 is deposited in two simple interest accounts. In one account, the annual simple interest rate is 5%, and on the second account, the annual simple interest rate is 6%. How much should be invested in each account so that the total annual interest earned is $450?
a
b
c
d
Answers
the answer is d
hope this helps
Answers
Ax + By - C = 0
Ax + By = C.
Simply distribute the 2 inside.
8x + 2(y+13) = 10
8x + 2y + 26 = 10
8x + 2y + 26 - 26 = 10 - 26
8x + 2y = -16 or
8x + 2y + 16 = 0.
11d = –44
Answers
d = -44/11
d = -4
The answer is: d = -4.
$4.96
$3,030
$4,960
Answers
M(x) = 3.03(2.18)^x
M(0) = 3.03 (2.18)^0
M(0) = 3.03 <---------FIRST OPTION
The standard form of writing exponential function is given as:
y = ab^x. Mary’s initial investment is $3.03
Exponential equations
The standard form of writing exponential function is given as:
y = ab^x
where
a is the base
x is the exponent
Given the Mary’s investment account can be modeled by the function M(x) = 3.03(2.18)^x
Her initial investment is the point where x = 0
Substitute
M(x) = 3.03(2.18)^x
M(0) = 3.03(2.18)^0
M(0) = 3.03
Hence Mary’s initial investment is $3.03
Learn more on exponential function here: brainly.com/question/12940982
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B.10 square root over 8
C.5 square root over 4
D.4 square root over 5
Answers
The number √80 in simplified radical form is 4√5. Therefore, the correct answer is option D.
The given number is √80.
Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.
Here, factors of number 80 are 2×2×2×2×5
= √16×5
= 4√5
Therefore, the correct answer is option D.
Learn more about the radical form here:
brainly.com/question/27272065.
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because root 80 = root 16 x root 5
Answers
Answer:
Jason would have to work 60 hours.
Step-by-step explanation:
The equation you would use would be 450 + 12.50t = 1200.
1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.
You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!
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