Find the midpoint, M, of AB

A = (1,0) B = (5,2)

Answers

Answer 1

Answer: M = (3,1)

Find the change in c and the change in y so the change in x is 4 units and the change in y is 2 units. Divide both chnages by two and add them to the factors of A.
4/2=2 and 2/2=1
(1,0) + (2,1) = (3,1)

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Which fraction represents the decimal 0.12
a) 1/12
b) 3/25
c) 4/33
d ) 33/4

Answers

Answer: Its 4/33

Hopefully this helps everyone!

Answer:

The fraction that represents the decimal 0.12 is 3/25

Step-by-step explanation:

step 1: find the place value of the last digit in 0.12

Since they are 2 digits in 0.12 the place value of last digit is the 100 th, therefore 0.12 is the same as 12/100

step 2: simplify 12/100 by dividing both the denominator and numerator by 4

that is 12 divide by 4 = 3 and 100 divide by 4 =25

therefore the fraction = 3/25

How do I factor out a constant before factoring out a quadratic?
Factor completely: 3w^2-3w-90

Answers

$3w^2-3w-90 =0 \ \ \:3 \n \nw^2- w-30 =0 \n \na=1 , \ b= -1 , c= -30 \n \n\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \n \nw_(1)=(-b-√(\Delta) )/(2a)=(1-√(121))/(2 )=( 1-11)/(2)=(-10)/(2)=-5$

$w_(2)=(-b+√(\Delta) )/(2a)=(1+√(121))/(2 )=( 1+11)/(2)=(12)/(2)=6 \n \n Answer:\n \n w^2- w-30 =(x+5)(x-6)$

the measures of an exterior angle and the adjacent interior angle add p to 360 because they form a linear plane?

Answers

Sadly, I can't see the picture you're looking at as you make that statement.
But I'm pretty sure that when you combine an exterior angle with the interior
angle adjacent to it, you'll wind up with 180°, because they form a linear line.
There actually isn't any such thing as a linear plane.

The mean age of five children is 8 years 4 months. When Amina joins, the mean age becomes 8 years 5 months. How old is Amina. With workings please.

Answers

Answer:8 5/12 - 8 3/4

101/12- 35/4 LCM 12 &4 is 12

101- 35/12= 66/12

=5 6/12

=5 1/2 years

Step-by-step explanation:

Final answer:

The question is about the calculation of Amina's age. From the information provided, Amina's age is calculated to be 9 years 4 months. The calculation is done by first obtaining the total age before and after Amina joins then finding the difference.

Explanation:

Firstly, we know the mean age of five children, before Amina joins, is 8 years 4 months. To get the total age of these children, we multiply the mean by the number of children. So, 8 years 4 months x 5 gives 41 years 8 months in total.

Next, Amina joins, increasing the number of children to six and the mean age becomes 8 years 5 months. To get the new total age, we multiply the new mean by the total number of children, so, 8 years 5 months x 6 gives 51 years.

So, the age of Amina is found by subtracting the initial total age before she joined from the new total age after she joined, which is, 51 years - 41 years 8 months = 9 years 4 months.

Thus, Amina's age is 9 years 4 months.

Learn more about Mean Age Calculation here:

brainly.com/question/32227531

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Function f(x) is represented on the graph. Which statement identifies the effect of replacing f(x) with 1/2f(x) on the graph? A)The curve would remain the same size but would be flipped upside down. B)The curve would remain the same size but would shift to the left. C)The curve would be narrower, but the vertex would be in the same position. D)The curve would be wider, but the vertex would be in the same position.

Answers

Answer:

Option (D)

Step-by-step explanation:

If a function f(x) is represented on a graph and we follow the transformation as,

f(x) → $k.f(x)$

1). If k ≥ 1, graph of the parent function f(x) will be stretched vertically by a factor k.

That means the transformed graph will be narrower.

2). If 0 < k < 1, graph will be vertically compressed or the transformed function will show a wider graph.

Following this rule,

f(x) → $(1)/(2).f(x)$ shows k = $(1)/(2)$ [Since 0 < $(1)/(2)$ < 1]

Therefore, transformed form will be wider.

Option (D) will be the answer.

Solve the system of equations.6x – 3y = 3
–2x + 6y = 14
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?

What number would you multiply the first equation by in order to eliminate the y-terms when adding to the second equation?

Answers

Keywords:

Systems of equations, variables, values, steps

For this case we have a system of two equations with two variables given by "x" and "y" respectively. We must solve the system by finding the values of the variables. For this, we follow the steps below:

$6x - 3y = 3\ (1)\n-2x + 6y = 14\ (2)$