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svetoff [14.1K]
3 years ago
14

Triangle PQR hAS vertices P (4,-1),Q(-2,7), and R (9,9). find an equation of the median from R

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0
A median intersects at the midpoint of the opposite length. The midpoint is:

x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3

The midpoint is at (1,3). With this point and point R(9,9), the equation would be:

y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25

Thus, the equation for the median is:

y = 0.75x + 2.25
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The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho
olya-2409 [2.1K]
Set up two equations.
s + 12 = l , s + l = 74     (these equations represent the problem)

 s + (s + 12) = 74           plug in "l" to the second equation.

2s + 12 = 74               combine like terms.

2s + 12 - 12 = 74 - 12     subtract to isolate the variable

2/2s = 62/2     divide to isolate the variable.

s = 31.       This means the smaller number is 31.

31 + 12 = 43.   since the larger number is 12 more than the smaller, add 12.

l = 43              the larger number has a value of 43.

small number = 31
larger number = 43

hope this helps! :D
8 0
3 years ago
Choose the like term of - 3 xy form:<br><br>A. -37<br>B. - 3 y z<br>C. yx<br>C. None of these​
lawyer [7]

Answer:

C

Step-by-step explanation:

yx can be rearranged to xy

it's like saying 2 x 3 is the same as 3 x 2

xy or yx is the variable

6 0
3 years ago
PLEASE HURRY IM BEING TIMED!
ddd [48]

Answer:

The answer is

\frac{26}{31}

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7 0
2 years ago
A farmstand sells two types of grapes. the cost of green grapes can be represented by the equation Y= 1.5X, where Y is the total
creativ13 [48]

Answer:

C. Black grapes cost more per pound than green grapes.

Step-by-step explanation:

<em>Verify each statement</em>

A. Three pounds of green grapes cost $6.00

The statement is False

Because

For x=3 pounds

y=1.5x

y=1.5(3)=$4.5

B. Black grapes cost less per pound than green grapes

The statement is False

Because

For x=1 pound

The green grapes cost ----> y=1.5(1)=$1.5

Observing the graph

For x=1 pound

The black grapes cost $2

C. Black grapes cost more per pound than green grapes.

The statement is True

D. Two pounds of black grapes cost $3.00.

The statement is False

Because

Observing the graph

Two pounds of black grapes cost $4

3 0
3 years ago
3x * -2y= -100<br> Solve for y and x.
Sedbober [7]

Answer:

x=50/3y

y=50/3x

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
2 years ago
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