MATHEMATICS HIGH SCHOOL

Slope-intercept from two points (1,4) and (2,2)​

Answers

Answer 1
Answer:

Answer:

y=-2x+6

Step-by-step explanation:

Equation of the line

First, we find the slope of the line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=(y_2-y_1)/(x_2-x_1)

The two points are (1,4) and (2,2), thus:

\displaystyle m=(2-4)/(2-1)=(-2)/(1)

m=-2

The equation of a line passing through (h,k) and slope m is:

y-k=m(x-h)

y-4=-2(x-1)

Note we used the point (1,4). If we used the other point, the result would have been the same. Operating the equation:

y-4=-2x+2

Adding 4:

y=-2x+6

The slope-intercept form of the line is

\boxed{y=-2x+6}

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Which expression is equivalent to x4 -y4

Answers

factorise

in this case the common factor is 4
so, 4(x-y)

A dime is what fraction of a dollar?

Answers

A dime is 1/10 fraction of a dollar.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

To learn more about Fractions, click on the link given below :

brainly.com/question/10708469

#SPJ2

Answer:

1/10

Step-by-step explanation:

0 What are the solutions to the equation 12. 2d – 71 = 60? d = [ Select and d = [Select ]​

Answers

D=65.5

Explanation

2d -71 = 60
+71. +71
Add 71 to both sides

2d/2=131/2

Divide by 2 on both sides

D=65.5

Find the expression for the area of the figure. Give your answer as a simplified radical.

Answers

Answer:

D

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

= ( √(15x)) ( √(10x) ) \n = √((10x)(15x)) \n = \sqrt{150 {x}^(2) } \n = \sqrt{6(25 {x}^(2)) } \n = (√(6) )( \sqrt{( {5x})^(2) } ) \n = ( √(6) )(5x) \n = 5x √(6)

What is each sum or difference?(7-2i)+(-3+i)


(1+5i)-(3-2i)


(8+6i)-(8-6i)


(-3+9i)+(3+9i)

Answers

1. 4-i
2. -2+3i
3. 0
4. 18i

The length of a side of an equilateral triangle is 40 centimeters.What is the length of the altitude of the triangle?

Answers

Answer:

34.64 cm

Step-by-step explanation:

sin 60 = (x)/(40)

sin 60 (40) = x

34.64 = x

equilateral triangles have 60° angles.

sin Ф = (opposite)/(hypotenuse)

hypotenuse is 40. All sides are 40.

x = opposite or height of triangle.
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A boat travels at 15 km/hr in still water. In travelling 45 km downstream from town A to town Bit completes the journey in 75 minutes less than it takes for the return journey. At what speed does the river flow?
Can any one tell me how to do this problem?