MATHEMATICS HIGH SCHOOL

A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____. (7/2, 5/2) (5/4, 7/4) (23/4, 13/4)

Answers

Answer 1
Answer:

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( (m_1x_2+m_2x_1)/(m_1+m_2) , (m_1y_2+m_2y_1)/(m_1+m_2) \right )

= \left ( (1*8+3*(-1))/(1+3) , (1*4+3*1)/(1+3) \right )

= \left ( (8-3)/(4) , (4+3)/(4) \right )

= \left ( (5)/(4) , (7)/(4) \right )

So the final answer is \left ( (5)/(4) , (7)/(4) \right ).
Answer 2
Answer:

Answer:

ANSWER IS ( 5/4 , 7/4 ).

Step-by-step explanation:

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Solve 5 over x plus 8 equals 3 over x for x and determine if the solution is extraneous or not.

Answers

The solution is extraneous.

A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

Answers

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

Answer:

They sold 527 toys.

Step-by-step explanation:

If they make 0.45$ profit on every toy.

Total profit of a month is $237.15.

then no of toys sold = total profit divided by individual profit

Number of toys= 237.15/0.45 =527

Solve 3(x-4)= -5 for x.

Answers

Answer:

x= 7/3 (fraction)

Step-by-step explanation:

If you plug it in it will work

What value of m will make 4x-7y=5 and 9x+my=3 parallel?

Answers

l:y=m_1x+b_1\ and\ k:y=m_2x+b_2\n\nl\ ||\ k\iff m_1=m_2\n------------------------\nl:4x-7y=5\to-7y=-4x+5\to y=(4)/(7)x-(5)/(7)\n\nk:9x+my=3\to my=-9x+3\to y=-(9)/(m)x+(3)/(m)\n\nl\ ||\ k\iff-(9)/(m)=(4)/(7)\n\ncross\ multiply:\n\n4m=-9\cdot7\n\n4m=-63\ \ \ \ /:4\n\nm=-15.75\leftarrow answer

Whats an explicit formula for
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Answers

7(x-1)+3 where x is how many numbers are being added together

the product of 8 and a number x is equal to 32. write an algebraic expression, an equation, or an inequality

Answers

The product of 8 and a number x is equal to 32 is 4.

What is product?

A product is the result of multiplication or an expression that identifies the objects (numbers or variables) to be multiplied, called factors.

The order of multiplication of real or complex numbers does not affect the product. this is called the commutative law of multiplication. When multiplying matrices or terms of several other associative algebras, the product usually depends on the order of the factors. For example, matrix multiplication is noncommutative, as is multiplication in other algebras in general.

Given:

so the  product of the two numbers (8 and x) IS equal to 32,

8x=32

x = (32)/(8)

x = 4

To learn more about product, refer;

brainly.com/question/11927706

#SPJ2
The product means multiply, so the PRODUCT of the two numbers (8 and x) IS equal to 32, so...
8x=32
(-Divide 8 on both sides to isolate the variable)
x=4
(Your result is x=4) :-)
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