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liraira [26]
2 years ago
9

Janae found PointA located at ,(-2,5) and c is located at (6,1) . What would be the x coordinate of point b that bisects A and C

?
Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0

A point that bisects a segment would be its midpoint. This is a case where the vocabulary  (bisect as opposed to midpoint) makes it harder.

To find the midpoint, we use the midpoint formula. The midpoint formula is:

midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.

x: (-2 + 6)/2 = 4/2 = 2

y: (5 +1)/2 = 6/2 = 3


Thus the point B bisecting AC is at (2, 3).

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Find the equation of the line passing through the given points. Express the equation in standard form.
Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the  change in the y coordinates

m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

We will start by determining the slope

(1, -6) the 1 is x sub 1  and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b.  We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b.  Since these points are on the line, they must satisfy this equation.  If we use the first coordinates, we would substitute 1 for x and -6 for y.  

-6 =  -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now.  We have to deal with two things.  The x and y terms have to be on the left side and A and B and C have to be integers.  

The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

3 0
3 years ago
Round 151.09 to the nearest whole
3241004551 [841]
It is rounded down to 151.
3 0
3 years ago
Read 2 more answers
Solve this equation.
spin [16.1K]

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer:  a = 41/6 or a= 6 5/6

7 0
3 years ago
Can you help me solve this it’s pretty easy but for you guys
Andrew [12]

Answer:

x - 81 = 321

adding 81 on both sides

x-81+81= 321+81

x= 402

8 0
3 years ago
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In A certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 836 grams of copper. How many gram
Elis [28]

Answer:

The jar contains 132 grams of zinc

Step-by-step explanation:

zinc to copper = 3 : 19

New equivalent weights

zinc to copper = x : 836

Now, let us solve for x as follows

\frac{zinc}{copper}  = \frac{3}{19} = \frac{x}{836} \\\\cross-multiplying\\3 \times\ 836 = 19 \times\ x\\2508 = 19x\\x = \frac{2508}{19}\\x =  132

the jar contains 132 grams of zinc

To check if the answer is accurate, the answer gotten when the weight of zinc is divided by copper will be the same for both the old and new ratios:

old ratio: 3 ÷ 19 =  0.158

new ratio: 132 ÷ 836 = 0.158

3 0
2 years ago
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