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2 years ago

The midpoint of chord AB is ( , ), and the slope of chord AB is

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer:

See solution below

Step-by-step explanation:

Let the coordinate's of A and B be (1, 0) and (2,4) respectively

midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]

X = x1+x2/2

X = 1+2/2

X = 3/2

X = 1.5

Y = y1+y2/2

Y = 0+4/2

Y = 4/2

Y = 2

Hence the required midpoint (X, Y) is (1.5, 2)

Slope m = y2-y1/x2-x1

m = 4-0/2-1

m = 4/1

m = 4

Hence the slope is 4

Note that the coordinates are assumed but the same calculation can be employed for any other coordinates

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What is Y equals negative 2X plus 6 in standard form

Sergio039 [100]

Answer:

2x + y - 6 = 0

OR 2x + y = 6

Step-by-step explanation:

First write the equation given in the problem:

y = -2x + 6 This is in slope-intercept form (y = mx + b).

Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.

The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.

To convert from slope-intercept form to standard form, move everything over to the side with 'y'. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)

y = -2x + 6 Do the reverse operations for -2x and +6

y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides

y + 2x - 6 = 0 Right side cancels out to be '0'.

2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'

Here you can see the new equation and what each variable in Ax + By + C = 0 is.

A = 2

B = 1 When a number is not written with the variable, it is 1.

C = -6

Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.

2x + y = 6

8 0

3 years ago

Question 1 (1 point)

Firdavs [7]

Answer:

B. false

Step-by-step explanation:

Square units

I hope that is useful for you :)

6 0

2 years ago

Describe the end behavior of the following exponential function.

oee [108]

Answer:

C. As the x-values increase, the function increases towards positive infinity.

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP!!! Question is above^

julsineya [31]

Answer:

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 9, 2) and (x₂, y₂ ) = (- 4, 2)

d = $\sqrt{(-4+9)^2+(2-2)^2}$

= $\sqrt{5^2+0^2}$ = $\sqrt{25}$ = 5 → C

5 0

3 years ago

NEED ANSWER ASAP pls

EleoNora [17]

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000 ==> F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income ==>

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check: One quarter of Winston's income is 32000/4 = 8000

One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

4 0

2 years ago