Mathematics: if B is the midpoint of AC, with point A at (5,2) and point C at (9,0), what is the equation of the line perpendicular to AC that passes through B?

if B is the midpoint of AC, with point A at (5,2), №12705781, 25.10.2020 22:26

Mathematics

#2 * The points S(4,10) and T(6,-2) lie in the standard (x,y) coordinate plane. What is the midpoint of ST ? A. (1,-6) B. (2, 5) C. (3,-1) D. (5, 4) E. (9, 8)

Step-by-step answer

P Answered by PhD

1

D. (5,4)

Step-by-step explanation:

I graphed point S and point T on a graph. Then I found the midpoint of the line, (5,4).

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Mathematics

#2 * The points S(4,10) and T(6,-2) lie in the standard (x,y) coordinate plane. What is the midpoint of ST ? A. (1,-6) B. (2, 5) C. (3,-1) D. (5, 4) E. (9, 8)

Step-by-step answer

P Answered by PhD

1

D. (5,4)

Step-by-step explanation:

I graphed point S and point T on a graph. Then I found the midpoint of the line, (5,4).

If this answer is correct, please make me Brainliest!

Mathematics

Sovle these: solve the simultaneous equations: 2x + 3y = 10 x - y = 5 solve 2x + 16 ≥ -8 find the gradient and the coordinates of the y-intercept for the graph: y - 12 = 3x find the gradient of the line that passes through the points (1, 3) and (5, 11) find the coordinates of the midpoint of the line segment ab, where a and b have coordinates: a(-3, 0), b(9, -2) a fair, six-sided dice is rolled 120 times. how many times would you expect to roll a 5? write down an equation of a straight line parallel to the line y = -2x + 3

Step-by-step answer

P Answered by PhD

1

2x + 3y = 10
x - y = 5x = y + 5

2(y + 5) + 3y = 10
2y + 10 + 3y = 10
5y = 10 - 10
5y = 0
y = 0

x - y = 5
x - 0 = 5
x = 5

solution is (5,0)

y - 12 = 3xy = 3x + 12...in y = mx + b form the gradient (slope) is in the m position and the y int is in the b position

y = 3x + 12slope(gradient) = 3 and y int = 12 or (0,12)

(1,3)(5,11)
slope(gradient) = (y2 - y1) / (x2 - x1)
(1,3)x1 = 1 and y1 = 3
(5,11)x2 = 5 and y2 = 11
now we sub
slope = (11 - 3) / (5 - 1) = 8/4 = 2 <== ur gradient

midpoint formula : (x1 + x2) / 2 : (y1 + y2) / 2
(-3,0)x1 = -3 and y1 = 0
(9,-2)...x2 = 9 and y2 = -2
now we sub
m = (-3 + 9) / 2 : (0 + (-2) / 2
m = 6/2 : -2/2
m = (3,-1) <===

y = -2x + 3slope here is -2. A parallel line will have the same slope.
So one parallel line is : y = -2x + 4that last number can be any number except 3. So another parallel line could be : y = -2x + 2

Mathematics

Sovle these: solve the simultaneous equations: 2x + 3y = 10 x - y = 5 solve 2x + 16 ≥ -8 find the gradient and the coordinates of the y-intercept for the graph: y - 12 = 3x find the gradient of the line that passes through the points (1, 3) and (5, 11) find the coordinates of the midpoint of the line segment ab, where a and b have coordinates: a(-3, 0), b(9, -2) a fair, six-sided dice is rolled 120 times. how many times would you expect to roll a 5? write down an equation of a straight line parallel to the line y = -2x + 3

Step-by-step answer

P Answered by PhD

1

2x + 3y = 10
x - y = 5x = y + 5

2(y + 5) + 3y = 10
2y + 10 + 3y = 10
5y = 10 - 10
5y = 0
y = 0

x - y = 5
x - 0 = 5
x = 5

solution is (5,0)

y - 12 = 3xy = 3x + 12...in y = mx + b form the gradient (slope) is in the m position and the y int is in the b position

y = 3x + 12slope(gradient) = 3 and y int = 12 or (0,12)

(1,3)(5,11)
slope(gradient) = (y2 - y1) / (x2 - x1)
(1,3)x1 = 1 and y1 = 3
(5,11)x2 = 5 and y2 = 11
now we sub
slope = (11 - 3) / (5 - 1) = 8/4 = 2 <== ur gradient

midpoint formula : (x1 + x2) / 2 : (y1 + y2) / 2
(-3,0)x1 = -3 and y1 = 0
(9,-2)...x2 = 9 and y2 = -2
now we sub
m = (-3 + 9) / 2 : (0 + (-2) / 2
m = 6/2 : -2/2
m = (3,-1) <===

y = -2x + 3slope here is -2. A parallel line will have the same slope.
So one parallel line is : y = -2x + 4that last number can be any number except 3. So another parallel line could be : y = -2x + 2

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image